Nguyễn Nhân Tình_k12_Ứng dụng đạo hàm

["C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 3. H\u00e0m nh\u1ea5t bi\u1ebfn V\u00ed d\u1ee5 9. Kh\u1ea3o s\u00e1t s\u1ef1 bi\u1ebfn thi\u00ean v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d x \uf02d1. x \uf02b1 ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... V\u00ed d\u1ee5 10. Kh\u1ea3o s\u00e1t s\u1ef1 bi\u1ebfn thi\u00ean v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d x \uf02b 1 . x\uf02d2 ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... ......................................................................................................................................................... Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 98","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 D\u1ea1ng 2. Nh\u1eadn di\u1ec7n \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 Nh\u00f3m 1. H\u00e0m b\u1eadc ba V\u00ed d\u1ee5 11. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d \uf02dx2 \uf02b x \uf02d1. B. y \uf03d \uf02dx3 \uf02b 3x \uf02b 1. C. y \uf03d x4 \uf02d x2 \uf02b 1. D. y \uf03d x3 \uf02d 3x \uf02b 1. V\u00ed d\u1ee5 12. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d \uf02dx2 \uf02b x \uf02d1. B. y \uf03d \uf02dx3 \uf02b 3x \uf02b 1. C. y \uf03d x4 \uf02d x2 \uf02b 1. D. y \uf03d x3 \uf02d 3x \uf02b 1. V\u00ed d\u1ee5 13. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d x3 \uf02b 3x2 \uf02d 3x \uf02b 1. B. y \uf03d \uf02dx3 \uf02d 2x2 \uf02b x \uf02d 2. C. y \uf03d \uf02dx3 \uf02b 3x \uf02b 1. D. y \uf03d x3 \uf02b 3x2 \uf02b 3x \uf02b 1. V\u00ed d\u1ee5 14. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d \uf02dx3 \uf02d 4. B. y \uf03d x3 \uf02d 3x2 \uf02d 4. C. y \uf03d \uf02dx3 \uf02b 3x2 \uf02d 4. D. y \uf03d \uf02dx3 \uf02b 3x2 \uf02d 2. V\u00ed d\u1ee5 15. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d \uf02dx3 \uf02b 3x \uf02b 1. B. y \uf03d x3 \uf02d 3x \uf02b 1. C. y \uf03d \uf02dx3 \uf02b 3x2 \uf02b 1. D. y \uf03d \uf02dx3 \uf02d 3x \uf02b 1. V\u00ed d\u1ee5 16. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d x3 \uf02d 3x2. B. y \uf03d \uf02dx4 \uf02b 2x2. C. y \uf03d 1 \uf02b 3x \uf02d x3. D. y \uf03d 3x \uf02d x3. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 99","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 V\u00ed d\u1ee5 17. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d x3 \uf02b 3x2 \uf02b 1. B. y \uf03d 2x3 \uf02b 6x2 \uf02b 1. C. y \uf03d x3 \uf02b 3x2 \uf02d 1. D. y \uf03d \uf02d x3 \uf02d 3x2 \uf02b 1. V\u00ed d\u1ee5 18. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 b\u00ean? A. y \uf03d \uf02dx3 \uf02b 6x \uf02d 2. B. y \uf03d \uf02d3x3 \uf02b 9x2 \uf02d 2. C. y \uf03d 2x3 \uf02d 3x2 \uf02b 2x \uf02d 2. D. y \uf03d \uf02d2x3 \uf02b 6x2 \uf02d 2. V\u00ed d\u1ee5 19. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d \uf02dx3 \uf02b 3x. B. y \uf03d \uf02dx3 \uf02d 3x2 \uf02b 1. C. y \uf03d x3 \uf02d 3x. D. y \uf03d x3 \uf02d 3x2 \uf02d 1. V\u00ed d\u1ee5 20. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d \uf02d x3 \uf02b 3x2 \uf02d 1. B. y \uf03d x3 \uf02d 3x2 \uf02d 1. C. y \uf03d x3 \uf02b 3x2 \uf02b 1. D. y \uf03d \uf02d x3 \uf02d 3x2 \uf02d 1. V\u00ed d\u1ee5 21. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d x3 \uf02b 3x \uf02b 2. B. y \uf03d x3 \uf02b 9x2 \uf02b 27x. C. y \uf03d x3 \uf02d 3x2 \uf02b 6. D. y \uf03d 2x3 \uf02b 6x2 \uf02b 6x. V\u00ed d\u1ee5 22. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d \uf02dx3 \uf02d 3x \uf02b 2. B. y \uf03d x3 \uf02b 9x2 \uf02b 27. C. y \uf03d x3 \uf02d 3x2 \uf02b 6. D. y \uf03d \uf02d x3 \uf02b 6x2 \uf02b 6. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 100","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 2. H\u00e0m tr\u00f9ng ph\u01b0\u01a1ng V\u00ed d\u1ee5 23. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d \uf02dx3 \uf02b x2 \uf02d1. B. y \uf03d x4 \uf02d x2 \uf02d 1. C. y \uf03d x3 \uf02d x2 \uf02d 1. D. y \uf03d \uf02dx4 \uf02b x2 \uf02d1. V\u00ed d\u1ee5 24. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d x4 \uf02d 3x2 \uf02d 1. B. y \uf03d x3 \uf02d 3x2 \uf02d 1. C. y \uf03d \uf02dx3 \uf02b 3x2 \uf02d 1. D. y \uf03d \uf02dx4 \uf02b 3x2 \uf02d 1. V\u00ed d\u1ee5 25. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d \uf02dx4 \uf02b 2x2 \uf02b 1. B. y \uf03d \uf02dx4 \uf02d 2x2 \uf02b 1. C. y \uf03d x4 \uf02b 3x2 \uf02d 1. D. y \uf03d x4 \uf02d 2x2 \uf02b 1. V\u00ed d\u1ee5 26. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d x2. B. y \uf03d \uf02dx4 \uf02b 4x2. C. y \uf03d 3x4 \uf02d x2 \uf02b 1. D. y \uf03d 2x4 \uf02b x2. V\u00ed d\u1ee5 27. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d \uf02d x4 \uf02b 2x2. B. y \uf03d x4 \uf02d 2x2 \uf02b 1. C. y \uf03d \uf02d x4 \uf02d 2x2. D. y \uf03d x4 \uf02d 2x2. V\u00ed d\u1ee5 28. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d \uf02d x4 \uf02b 2x2. B. y \uf03d x4 \uf02d 2x2 \uf02b 1. C. y \uf03d \uf02d x4 \uf02d 2x2. D. y \uf03d x4 \uf02d 2x2. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 101","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 V\u00ed d\u1ee5 29. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 h\u00ecnh v\u1ebd? A. y \uf03d x3 \uf02d 3x2 \uf02b 1. B. y \uf03d \uf02d x3 \uf02b 3x2 \uf02b 1. C. y \uf03d \uf02d x4 \uf02b 2x2 \uf02b 1. D. y \uf03d x4 \uf02d 2x2 \uf02b 1. V\u00ed d\u1ee5 30. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 h\u00ecnh v\u1ebd? A. y \uf03d \uf02dx4 \uf02b 2x2 \uf02b 2. B. y \uf03d x4 \uf02d 2x2 \uf02b 2. C. y \uf03d x4 \uf02d 2x2 \uf02d 2. D. y \uf03d x4 \uf02b 2x2 \uf02b 2. V\u00ed d\u1ee5 31. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d x4 \uf02d 2x2 \uf02d 2. B. y \uf03d \uf02dx4 \uf02b 2x2 \uf02d 2. C. y \uf03d x4 \uf02b 2x2 \uf02d 2. D. y \uf03d x4 \uf02b 2x2 \uf02d 1. V\u00ed d\u1ee5 32. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d x4 \uf02d 2x2 \uf02d 2. B. y \uf03d \uf02dx4 \uf02d 2x2 \uf02b 3. C. y \uf03d x4 \uf02b 2x2 \uf02d 2. D. y \uf03d \uf02dx4 \uf02d 2x2 \uf02d 3. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 102","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 3. H\u00e0m nh\u1ea5t bi\u1ebfn V\u00ed d\u1ee5 33. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d x4 \uf02d 2x2 \uf02d 1. B. y \uf03d \uf02dx \uf02b 3 \uf0d7 x \uf02b1 C. y \uf03d \uf02d x4 \uf02b 2x2 \uf02d 1. D. y \uf03d \uf02dx \uf02b 3 \uf0d7 x \uf02d1 V\u00ed d\u1ee5 34. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d 2x \uf02b 3 \uf0d7 x \uf02b1 B. y \uf03d 2x \uf02d1 \uf0d7 x \uf02b1 C. y \uf03d 2x \uf02d 2 \uf0d7 x \uf02d1 D. y \uf03d 2x \uf02b 1 \uf0d7 x \uf02d1 V\u00ed d\u1ee5 35. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d \uf02dx \uf02b 2 \uf0d7 B. y \uf03d x \uf02b 2 \uf0d7 x \uf02d1 x \uf02d1 C. y \uf03d x \uf02b 2 \uf0d7 D. y \uf03d x \uf02d 3 \uf0d7 x \uf02b1 x \uf02d1 V\u00ed d\u1ee5 36. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d x \uf02b 1 \uf0d7 B. y \uf03d 2x \uf02d1 \uf0d7 2x \uf02d1 x \uf02b1 C. y \uf03d 2x \uf02b 3 \uf0d7 D. y \uf03d 2x \uf02d1 \uf0d7 x \uf02b1 x \uf02d1 V\u00ed d\u1ee5 37. H\u00e0m s\u1ed1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 h\u00ecnh b\u00ean? A. y \uf03d 2x \uf02b 1 \uf0d7 B. y \uf03d x \uf02d1 \uf0d7 x\uf02d2 2x \uf02b 2 C. y \uf03d x \uf02b 1 \uf0d7 D. y \uf03d x \uf02b 3 \uf0d7 x\uf02d2 2\uf02b x Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 103","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 D\u1ea1ng 3. T\u00ecm h\u00e0m s\u1ed1 khi bi\u1ebft h\u00ecnh d\u00e1ng \u0111\u1ed3 th\u1ecb ho\u1eb7c b\u1ea3ng bi\u1ebfn thi\u00ean Nh\u00f3m 1. H\u00e0m b\u1eadc ba \uf09f H\u00e0m b\u1eadc ba c\u00f3 d\u1ea1ng: y \uf03d ax3 \uf02b bx2 \uf02b cx \uf02b d. \uf02b) \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 c\u00f3 hai \u0111i\u1ec3m c\u1ef1c tr\u1ecb A\uf028 x1; y1\uf029 v\u00e0 B \uf028 x2; y2 \uf029. \uf0ec y\uf0a2\uf028 x1 \uf029 \uf03d 0 \uf0ef \uf02b) Khi \u0111\u00f3: \uf0ef y\uf0a2 \uf028 x2 \uf029 \uf03d 0 . \uf0ed y \uf028 x1 \uf029 \uf03d y1 \uf0ef \uf0ef y \uf028 x2 \uf029 \uf03d y2 \uf0ee 1. Cho h\u00e0m s\u1ed1 y \uf03d ax3 \uf02b bx2 \uf02b cx \uf02b d v\u1edbi a, b, c, d \uf0ce \uf0a1 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean Gi\u00e1 tr\u1ecb c\u1ee7a a2 \uf02b b2 \uf02b c2 \uf02b d 2 b\u1eb1ng A. 35. B. 41. C. 19. D. 11. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 2. Cho h\u00e0m s\u1ed1 y \uf03d ax3 \uf02b bx2 \uf02b cx \uf02b d v\u1edbi a, b, c, d \uf0ce \uf0a1 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. Gi\u00e1 tr\u1ecb c\u1ee7a a2 \uf02b b2 \uf02b c2 \uf02b d 2 b\u1eb1ng A. 10. B. 12. C. 14. D. 11. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 104","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 2. H\u00e0m tr\u00f9ng ph\u01b0\u01a1ng \uf09f H\u00e0m b\u1eadc b\u1ed1n c\u00f3 d\u1ea1ng: y \uf03d ax4 \uf02b bx2 \uf02b c. \uf0ec y\uf0a2\uf028 x1 \uf029 \uf03d 0 \uf0ef \uf02b) Khi \u0111\u00f3: \uf0ed y \uf028 x1 \uf029 \uf03d y1 . \uf0ef y \uf028 0\uf029 \uf03d c \uf0ee 3. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 \uf03d ax4 \uf02b bx3 \uf02b cx2 \uf02b dx \uf02b e v\u1edbi a, b, c, d , e \uf0ce \uf0a1 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: Gi\u00e1 tr\u1ecb c\u1ee7a 8a \uf02b b \uf02d c \uf02d e b\u1eb1ng A. 4. B. \uf02d1. C. 2. D. 11. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 4. Cho h\u00e0m s\u1ed1 y \uf03d ax4 \uf02b bx2 \uf02b c v\u1edbi a,b, c \uf0ce \uf0a1 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. Gi\u00e1 tr\u1ecb c\u1ee7a a2 \uf02b b2 \uf02b c3 b\u1eb1ng A. 4. B. 0. C. \uf02d2. D. 2. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 5. \u0110\u1ed3 th\u1ecb c\u1ee7a h\u00e0m s\u1ed1 y \uf03d ax4 \uf02d b2x2 \uf02b c l\u00e0 \u0111\u01b0\u1eddng cong \u1edf h\u00ecnh b\u00ean. T\u1ed5ng a \uf02b b2 \uf02b c b\u1eb1ng A. \uf02d3. B. \uf02d 15 \uf0d7 4 C. \uf02d 17 \uf0d7 D. 17 \uf0d7 4 4 ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 105","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 3. H\u00e0m nh\u1ea5t bi\u1ebfn \uf09f H\u00e0m nh\u1ea5t bi\u1ebfn c\u00f3 d\u1ea1ng: y \uf03d ax \uf02b b . cx \uf02b d \uf02b) TC\u0110: x \uf03d \uf02d d . \uf02b) TCN: y \uf03d a . c c \uf02b) \u0110i\u1ec3m \uf028 x0; y0 \uf029 thu\u1ed9c \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 ta thay t\u1ecda \u0111\u1ed9 v\u00e0o. 6. Cho h\u00e0m s\u1ed1 y \uf03d x \uf02d a c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. Gi\u00e1 tr\u1ecb bx \uf02b c c\u1ee7a bi\u1ec3u th\u1ee9c a \uf02b b \uf02b c b\u1eb1ng A. \uf02d3. B. 1. C. 5. D. 2. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 7. Cho h\u00e0m s\u1ed1 y \uf03d ax \uf02b 3 v\u1edbi a,b \uf0ce \uf0a1 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: x\uf02bb Gi\u00e1 tr\u1ecb c\u1ee7a a \uf02d 2c b\u1eb1ng A. 3. B. \uf02d3. C. \uf02d2. D. \uf02d1. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 106","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 D\u1ea1ng 4. X\u00e1c \u0111\u1ecbnh c\u00e1c y\u1ebfu t\u1ed1 li\u00ean quan \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 Nh\u00f3m 1. H\u00e0m b\u1eadc ba \uf074 H\u00e0m s\u1ed1 c\u00f3 d\u1ea1ng: y \uf03d ax3 \uf02b bx2 \uf02b cx \uf02b d \uf028a \uf0b9 0\uf029 \uf09f D\u1ef1a v\u00e0o h\u00ecnh d\u00e1ng \u0111\u1ed3 th\u1ecb x\u00e1c \u0111\u1ecbnh d\u1ea5u c\u1ee7a a. \uf09f Cho x \uf03d 0 \uf0de y \uf03d d l\u00e0 \u0111i\u1ec3m c\u1eaft gi\u1eefa \u0111\u1ed3 th\u1ecb v\u00e0 tr\u1ee5c tung, t\u1eeb \u0111\u00f3 suy ra d\u1ea5u c\u1ee7a d. \uf09f \u0110i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1: x1.x2 \uf03d c. 3a \uf02b) N\u1ebfu hai \u0111i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 n\u1eb1m v\u1ec1 hai ph\u00eda tr\u1ee5c tung th\u00ec a.c \uf03c 0, suy ra d\u1ea5u c. \uf02b) N\u1ebfu hai \u0111i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 n\u1eb1m v\u1ec1 c\u00f9ng ph\u00eda tr\u1ee5c tung th\u00ec a.c \uf03e 0, suy ra d\u1ea5u c. \uf09f \u0110i\u1ec3m u\u1ed1n: xI \uf03d x1 \uf02b x2 \uf03d\uf02d b . 3a \uf02b) N\u1ebfu \u0111i\u1ec3m u\u1ed1n c\u1ee7a h\u00e0m s\u1ed1 n\u1eb1m v\u1ec1 ph\u00eda b\u00ean ph\u1ea3i tr\u1ee5c tung th\u00ec xI \uf03e 0 \uf0de a.b \uf03c 0, suy ra d\u1ea5u b. \uf02b) N\u1ebfu \u0111i\u1ec3m u\u1ed1n c\u1ee7a h\u00e0m s\u1ed1 n\u1eb1m v\u1ec1 ph\u00eda b\u00ean tr\u00e1i tr\u1ee5c tung th\u00ec xI \uf03c 0 \uf0de a.b \uf03e 0, suy ra d\u1ea5u b. 8. [\u0110\u1ec0 THAM KH\u1ea2O \u2013 2020] Cho h\u00e0m s\u1ed1 y \uf03d ax3 \uf02b 3x \uf02b d \uf028a,d \uf0ce \uf0a1\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. M\u1ec7nh \u0111\u1ec1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang? A. a \uf03e 0, d \uf03e 0. B. a \uf03c 0, d \uf03e 0. C. a \uf03e 0, d \uf03c 0. D. a \uf03c 0, d \uf03c 0. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 9. Cho h\u00e0m s\u1ed1 y \uf03d ax3 \uf02b bx2 \uf02b cx \uf02b d c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. M\u1ec7nh \u0111\u1ec1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang? A. a \uf03c 0, b \uf03e 0, c \uf03e 0, d \uf03c 0. B. a \uf03c 0, b \uf03c 0, c \uf03e 0, d \uf03c 0. C. a \uf03e 0, b \uf03c 0, c \uf03c 0, d \uf03e 0. D. a \uf03c 0, b \uf03e 0, c \uf03c 0, d \uf03c 0. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 10. Cho h\u00e0m s\u1ed1 y \uf03d ax3 \uf02b bx2 \uf02b cx \uf02b d c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean. M\u1ec7nh \u0111\u1ec1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang? A. a \uf03e 0, b \uf03c 0, c \uf03c 0, d \uf03e 0. B. a \uf03c 0, b \uf03c 0, c \uf03c 0, d \uf03e 0. C. a \uf03e 0, b \uf03c 0, c \uf03e 0, d \uf03e 0. D. a \uf03e 0, b \uf03e 0, c \uf03c 0, d \uf03e 0. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 107","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 2. H\u00e0m tr\u00f9ng ph\u01b0\u01a1ng \uf074 H\u00e0m s\u1ed1 c\u00f3 d\u1ea1ng: y \uf03d ax4 \uf02b bx2 \uf02b c \uf028a \uf0b9 0\uf029 \uf09f D\u1ef1a v\u00e0o h\u00ecnh d\u00e1ng \u0111\u1ed3 th\u1ecb x\u00e1c \u0111\u1ecbnh d\u1ea5u c\u1ee7a a. \uf09f Cho x \uf03d 0 \uf0de y \uf03d c l\u00e0 \u0111i\u1ec3m c\u1eaft gi\u1eefa \u0111\u1ed3 th\u1ecb v\u00e0 tr\u1ee5c tung, t\u1eeb \u0111\u00f3 suy ra d\u1ea5u c\u1ee7a c. \uf09f \u0110i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1: \uf02b) N\u1ebfu h\u00e0m s\u1ed1 c\u00f3 3 \u0111i\u1ec3m c\u1ef1c tr\u1ecb th\u00ec a.b \uf03c 0, suy ra d\u1ea5u b. \uf02b) N\u1ebfu h\u00e0m s\u1ed1 c\u00f3 1 \u0111i\u1ec3m th\u00ec a.b \uf0b3 0, suy ra d\u1ea5u b. 11. \u0110\u01b0\u1eddng cong h\u00ecnh b\u00ean l\u00e0 \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d ax4 \uf02b bx2 \uf02b c v\u1edbi a,b, c l\u00e0 c\u00e1c s\u1ed1 th\u1ef1c. M\u1ec7nh \u0111\u1ec1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang? A. a \uf03c 0, b \uf03e 0, c \uf03c 0. B. a \uf03e 0, b \uf03e 0, c \uf03c 0. C. a \uf03e 0, b \uf03c 0, c \uf03c 0. D. a \uf03e 0, b \uf03c 0, c \uf03e 0. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 12. \u0110\u01b0\u1eddng cong h\u00ecnh b\u00ean l\u00e0 \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d ax4 \uf02b bx2 \uf02b c v\u1edbi a,b, c l\u00e0 c\u00e1c s\u1ed1 th\u1ef1c. M\u1ec7nh \u0111\u1ec1 n\u00e0o d\u01b0\u1edbi \u0111\u00e2y \u0111\u00fang? A. a \uf03c 0, b \uf03e 0, c \uf03c 0. B. a \uf03e 0, b \uf03e 0, c \uf03c 0. C. a \uf03c 0, b \uf03c 0, c \uf03c 0. D. a \uf03c 0, b \uf03e 0, c \uf03e 0. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 13. H\u00e0m s\u1ed1 y \uf03d ax4 \uf02b bx2 \uf02b c \uf028a \uf0b9 0\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. M\u1ec7nh \u0111\u1ec1 n\u00e0o sau \u0111\u00e2y \u0111\u00fang? A. a \uf03c 0, b \uf03c 0, c \uf03c 0. B. a \uf03e 0, b \uf0b3 0, c \uf03e 0. C. a \uf03e 0, b \uf0b3 0, c \uf03c 0. D. a \uf03e 0, b \uf03c 0, c \uf0a3 0. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 108","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 3. H\u00e0m nh\u1ea5t bi\u1ebfn \uf074 H\u00e0m s\u1ed1: y \uf03d ax \uf02b b , c\u00f3 \u0111\u1ea1o h\u00e0m: y\uf0a2 \uf03d ad \uf02d bc . cx \uf02b d \uf028cx \uf02b d \uf0292 \uf09f D\u1ef1a v\u00e0o h\u00ecnh d\u00e1ng \u0111\u1ed3 th\u1ecb. \uf02b) T\u1eeb tr\u00e1i sang ph\u1ea3i, \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 \u0111i l\u00ean th\u00ec y\uf0a2 \uf03e 0 \uf0db ad \uf02d bc \uf03e 0. \uf02b) T\u1eeb tr\u00e1i sang ph\u1ea3i, \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 \u0111i xu\u1ed1ng th\u00ec y\uf0a2 \uf03c 0 \uf0db ad \uf02d bc \uf03c 0. \uf09f Ti\u1ec7m c\u1eadn: \uf02b) Ti\u1ec7m c\u1eadn ngang: y \uf03d a . c \uf02b) Ti\u1ec7m c\u1eadn \u0111\u1ee9ng: x \uf03d \uf02d d . c 14. [\u0110\u1ec0 THAM KH\u1ea2O \u2013 BGD \u2013 L\u1ea6N 2 \u2013 2020] Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 \uf03d ax \uf02b 1 \uf028a,b,c \uf0ce \uf0a1\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn bx \uf02b c thi\u00ean nh\u01b0 sau: Trong c\u00e1c s\u1ed1 a,b v\u00e0 c c\u00f3 bao nhi\u00eau s\u1ed1 d\u01b0\u01a1ng? A. 2. B. 3. C. 1. D. 0. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 15. Cho h\u00e0m s\u1ed1 y \uf03d x \uf02b b c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. Kh\u1eb3ng cx \uf02b d \u0111\u1ecbnh n\u00e0o sau \u0111\u00e2y \u0111\u00fang? A. b \uf03e 0, c \uf03e 0, d \uf03e 0. B. b \uf03c 0, c \uf03c 0, d \uf03e 0. C. b \uf03c 0, c \uf03e 0, d \uf03c 0. D. b \uf03c 0, c \uf03e 0, d \uf03e 0. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 109","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 B\u00e0i 6. S\u1ef0 T\u01af\u01a0NG GIAO C\u1ee6A HAI \u0110\u1ed2 TH\u1eca D\u1ea1ng 1. T\u00ecm s\u1ed1 giao \u0111i\u1ec3m c\u1ee7a hai \u0111\u1ed3 th\u1ecb Nh\u00f3m 1. T\u01b0\u01a1ng giao c\u1ee7a hai \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 \uf09f L\u1eadp ph\u01b0\u01a1ng tr\u00ecnh ho\u00e0nh \u0111\u1ed9 giao \u0111i\u1ec3m c\u1ee7a \uf028C \uf029 v\u00e0 \uf028C\uf0a2\uf029. \uf09f Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh tr\u00ean v\u00e0 k\u1ebft lu\u1eadn. 1. X\u00e1c \u0111\u1ecbnh t\u1ecda \u0111\u1ed9 giao \u0111i\u1ec3m c\u1ee7a \u0111\u1ed3 th\u1ecb \uf028C\uf029 : y \uf03d x3 \uf02b x2 \uf02d x \uf02b 1 v\u1edbi parabol \uf028 P\uf029 : y \uf03d 2x2 \uf02d x \uf02b1. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 2. T\u00ecm s\u1ed1 giao \u0111i\u1ec3m c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d x4 \uf02b 2x3 \uf02d 2 v\u00e0 tr\u1ee5c ho\u00e0nh. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 3. X\u00e1c \u0111\u1ecbnh t\u1ecda \u0111\u1ed9 giao \u0111i\u1ec3m c\u1ee7a \u0111\u1ed3 th\u1ecb \uf028C \uf029 : y \uf03d 2x \uf02b 1 v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng d : y \uf03d x \uf02b 2. 2x \uf02d1 ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 4. S\u1ed1 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh x5 \uf02d x \uf02d1 \uf03d 0 l\u00e0 A. 3. B. 2. C. 1. D. 4. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 5. S\u1ed1 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh x \uf02d 1 \uf02d 1 \uf03d 3 l\u00e0 x \uf02d1 x \uf02b2 A. 1. B. 2. C. 3. D. 0. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 110","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 2. T\u01b0\u01a1ng giao cho b\u1edfi b\u1ea3ng bi\u1ebfn thi\u00ean (\u0111\u1ed3 th\u1ecb) v\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng \uf09f \u0110\u01b0a ph\u01b0\u01a1ng tr\u00ecnh v\u1ec1 d\u1ea1ng f \uf028 x\uf029 \uf03d a (v\u1edbi a l\u00e0 h\u1eb1ng s\u1ed1). \uf09f D\u1ef1a v\u00e0o b\u1ea3ng bi\u1ebfn thi\u00ean (\u0111\u1ed3 th\u1ecb) \u0111\u1ec3 t\u00ecm s\u1ed1 giao \u0111i\u1ec3m, t\u1eeb \u0111\u00f3 suy ra nghi\u1ec7m ph\u01b0\u01a1ng tr\u00ecnh. 6. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean sau: S\u1ed1 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh 2 f \uf028 x\uf029 \uf02b 3 \uf03d 0 l\u00e0 A. 4. B. 3. C. 2. D. 1. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 7. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 \uf03d ax4 \uf02b bx2 \uf02b c \uf028a,b, c \uf0ce \uf0a1\uf029. \u0110\u1ed3 th\u1ecb c\u1ee7a h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. S\u1ed1 nghi\u1ec7m d\u01b0\u01a1ng c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh 4 f \uf028 x\uf029 \uf02d 3 \uf03d 0 l\u00e0 A. 4. B. 3. C. 2. D. 0. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 8. Cho h\u00e0m b\u1eadc ba y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. S\u1ed1 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf02d x \uf02b 1 \uf03d 0 l\u00e0 A. 1. B. 2. C. 3. D. 4. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 9. Cho h\u00e0m b\u1eadc ba y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. S\u1ed1 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf02b x \uf02d 2 \uf03d 0 l\u00e0 A. 1. B. 2. C. 3. D. 4. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 111","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 10. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 x\u00e1c \u0111\u1ecbnh tr\u00ean \uf0a1 \\\\ \uf07b\uf02d1\uf07d v\u00e0 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: S\u1ed1 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf02b 1 \uf03d 0 l\u00e0 A. 0. B. 3. C. 2. D. 1. ................................................................................. ................................................................................. 11. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 x\u00e1c \u0111\u1ecbnh tr\u00ean \uf0a1 \\\\ \uf07b0\uf07d v\u00e0 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean sau: \uf028 \uf029S\u1ed1 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh f x2 \uf02d 2 \uf03d 0 l\u00e0 A. 4. B. 3. C. 2. D. 6. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 12. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 x\u00e1c \u0111\u1ecbnh tr\u00ean \uf0a1 \\\\ \uf07b\uf02d1\uf07d v\u00e0 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean sau: S\u1ed1 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf02d 1 \uf03d 0 l\u00e0 A. 4. B. 3. C. 2. D. 1. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 13. Cho h\u00e0m s\u1ed1 b\u1eadc ba y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean. S\u1ed1 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf02d1 \uf03d 2 l\u00e0 A. 3. B. 5. C. 4. D. 6. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 112","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 14. Cho h\u00e0m s\u1ed1 b\u1eadc ba y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean. G\u1ecdi S l\u00e0 t\u1eadp nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh f 2 \uf028 x\uf029 \uf02d 4 f \uf028 x\uf029 \uf03d 0. T\u1ed5ng c\u00e1c ph\u1ea7n t\u1eed c\u1ee7a S b\u1eb1ng A. 3. B. 5. C. 4. D. 1. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 15. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean sau: S\u1ed1 nghi\u1ec7m ph\u00e2n bi\u1ec7t c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh 2 \uf0eb\uf0e9 f \uf028 x\uf029\uf0fb\uf0f92 \uf02b 3 f \uf028 x\uf029 \uf02b 1 \uf03d 0 l\u00e0 A. 7. B. 8. C. 6. D. 3. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 16. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean sau: S\u1ed1 nghi\u1ec7m ph\u00e2n bi\u1ec7t c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh sin \uf0e9\uf0eb f \uf028 x\uf029\uf0f9\uf0fb \uf03d 0 tr\u00ean \u0111o\u1ea1n \uf05b\uf02d\uf070 ;\uf070 \uf05d l\u00e0 A. 4. B. 2. C. 3. D. 5. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 113","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 D\u1ea1ng 2. Bi\u1ec7n lu\u1eadn s\u1ed1 nghi\u1ec7m theo tham s\u1ed1 m Nh\u00f3m 1. B\u1ea3ng bi\u1ebfn thi\u00ean, \u0111\u1ed3 th\u1ecb 17. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf03d m c\u00f3 3 nghi\u1ec7m ph\u00e2n bi\u1ec7t? A. 3. B. 4. C. 1. D. 2. ................................................................................. ................................................................................. 18. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: S\u1ed1 gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a m \uf028 m \uf03c 10\uf029 \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf03d m c\u00f3 2 nghi\u1ec7m ph\u00e2n bi\u1ec7t l\u00e0 A. 8. B. 9. C. 10. D. 18. ................................................................................. ................................................................................. 19. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: S\u1ed1 gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf03d m c\u00f3 2 nghi\u1ec7m ph\u00e2n bi\u1ec7t l\u00e0 A. 3. B. 4. C. 5. D. 2. ................................................................................. ................................................................................. 20. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: T\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf03d m c\u00f3 nghi\u1ec7m. A. m \uf0ce\uf05b4;6\uf029. B. m \uf0ce \uf028\uf02d\uf0a5;4\uf05d. C. m \uf0ce\uf05b0;6\uf029. D. m \uf0ce \uf0282;6\uf029. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 114","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 21. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: \uf028 \uf029C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \uf028 m \uf03c 10\uf029 \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f x2 \uf02d 1 \uf03d m c\u00f3 nghi\u1ec7m? A. 11. B. 12. C. 13. D. 14. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 22. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: \uf028 \uf029C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f 1 \uf02d x2 \uf03d m c\u00f3 6 nghi\u1ec7m? A. 7. B. 6. C. 4. D. 3. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 23. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f \uf028sin x\uf029 \uf03d m c\u00f3 nghi\u1ec7m? A. 6. B. 7. C. 8. D. 11. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 115","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 2. C\u00f4 l\u1eadp tham s\u1ed1 m \uf09f \u0110\u01b0a ph\u01b0\u01a1ng tr\u00ecnh v\u1ec1 d\u1ea1ng f \uf028 x\uf029 \uf03d m (v\u1edbi m l\u00e0 tham s\u1ed1) \uf09f Kh\u1ea3o s\u00e1t v\u00e0 v\u1ebd b\u1ea3ng bi\u1ebfn thi\u00ean c\u1ee7a h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 . \uf09f D\u1ef1a v\u00e0o b\u1ea3ng bi\u1ebfn thi\u00ean (\u0111\u1ed3 th\u1ecb) \u0111\u1ec3 t\u00ecm s\u1ed1 giao \u0111i\u1ec3m, t\u1eeb \u0111\u00f3 suy ra nghi\u1ec7m ph\u01b0\u01a1ng tr\u00ecnh 24. T\u00ecm m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh x3 \uf02d 3x \uf02b 2m \uf02d 3 \uf03d 0 c\u00f3 ba nghi\u1ec7m ph\u00e2n bi\u1ec7t. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 25. Cho h\u00e0m s\u1ed1 y \uf03d \uf02dx4 \uf02b 2x2 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean. T\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb th\u1ef1c c\u1ee7a m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh \uf02dx4 \uf02b 2x2 \uf02b 3 \uf02d 2m \uf03d 0 c\u00f3 b\u1ed1n nghi\u1ec7m th\u1ef1c ph\u00e2n bi\u1ec7t. A. 0 \uf03c m \uf03c 1 \uf0d7 B. 3 \uf03c m \uf03c 2. 2 2 C. 0 \uf03c m \uf03c 1. D. m \uf03e 1. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 26. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \uf028 m \uf03c 10\uf029 \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh x3 \uf02d mx \uf02b 2 \uf03d 0 c\u00f3 ba nghi\u1ec7m ph\u00e2n bi\u1ec7t? B. 5. C. 6. D. 10. A. 4. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 27. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh x3 \uf02d mx2 \uf02b 4 \uf03d 0 c\u00f3 ba nghi\u1ec7m ph\u00e2n bi\u1ec7t th\u1ecfa m\u00e3n x1 \uf03c 1 \uf03c x2 \uf03c x3 ? A. v\u00f4 s\u1ed1. B. 2. C. 1. D. 3. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 116","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 D\u1ea1ng 3. \u1ee8ng d\u1ee5ng t\u01b0\u01a1ng giao v\u00e0o b\u00e0i to\u00e1n \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn h\u00e0m \u1ea9n Nh\u00f3m 1. Cho \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 28. Cho h\u00e0m s\u1ed1 b\u1eadc ba y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong nh\u01b0 h\u00ecnh b\u00ean. \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 g\uf028x\uf029 \uf03d f x\uf02b2 c\u00f3 bao nhi\u00eau \uf028x\uf029 \uf02b1 ti\u1ec7m c\u1eadn \u0111\u1ee9ng? A. 1. B. 2. C. 3. D. 4. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 29. Cho h\u00e0m s\u1ed1 b\u1eadc ba y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong nh\u01b0 h\u00ecnh b\u00ean. \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 g\uf028x\uf029 \uf03d x2 \uf02d1 \uf028x\uf029 c\u00f3 bao f 2 \uf028x\uf029 \uf02d 4 f nhi\u00eau ti\u1ec7m c\u1eadn? A. 5. B. 2. C. 4. D. 3. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 30. Cho h\u00e0m s\u1ed1 b\u1eadc ba y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong nh\u01b0 h\u00ecnh b\u00ean. \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 g \uf028 x \uf029 \uf03d \uf028x2 \uf02d x\uf029\uf028x2 \uf02d 1\uf029 c\u00f3 bao f 2\uf028x \uf029\uf02d2f \uf028x\uf029 nhi\u00eau ti\u1ec7m c\u1eadn? A. 5. B. 6. C. 4. D. 3. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 31. Cho h\u00e0m s\u1ed1 b\u1eadc n\u0103m y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong nh\u01b0 h\u00ecnh b\u00ean. \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 g\uf028x\uf029 \uf03d x \uf028 x\uf029 \uf02d 5 c\u00f3 2 f 2 \uf028x\uf029\uf02b3 f bao nhi\u00eau ti\u1ec7m c\u1eadn \u0111\u1ee9ng? A. 4. B. 2. C. 1. D. 3. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 117","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 2. Cho b\u1ea3ng bi\u1ebfn thi\u00ean 32. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: T\u1ed5ng s\u1ed1 \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn \u0111\u1ee9ng v\u00e0 \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn ngang c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y\uf03d f 1 l\u00e0 \uf028x\uf029 \uf02b 2 A. 2. B. 3. C. 4. D. 5. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 33. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: T\u1ed5ng s\u1ed1 \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn \u0111\u1ee9ng v\u00e0 \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn ngang c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y\uf03d f 1 l\u00e0 \uf028x\uf029 \uf02d2 A. 2. B. 3. C. 4. D. 5. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 34. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: T\u1ed5ng s\u1ed1 \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn \u0111\u1ee9ng v\u00e0 \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn ngang c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d f \uf028x\uf029 \uf02b1 l\u00e0 x A. 2. B. 3. C. 4. D. 1. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 118","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 3. T\u00ecm tham s\u1ed1 m th\u1ecfa y\u00eau c\u1ea7u b\u00e0i to\u00e1n 35. C\u00f3 t\u1ea5t c\u1ea3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 a \uf0ce \uf028\uf02d10;10\uf029 \u0111\u1ec3 \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d x2 \uf02b a c\u00f3 x3 \uf02b ax2 \u0111\u00fang 3 \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn? A. 16. B. 17. C. 8. D. 9. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 36. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y\uf03d x2 \uf02d 3x \uf02b 2 c\u00f3 \u0111\u00fang 2 ti\u1ec7m c\u1eadn \u0111\u1ee9ng? x3 \uf02d 3mx \uf02b 2 A. 1. B. 3. C. 2. D. 4. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 37. T\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a tham s\u1ed1 th\u1ef1c m \u0111\u1ec3 \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y\uf03d x \uf02d1 c\u00f3 \u0111\u00fang m\u1ed9t ti\u1ec7m c\u1eadn x3 \uf02b 3x2 \uf02b m \uf02b1 \u0111\u1ee9ng. A. m \uf03c \uf02d5 \uf0c8 m \uf03e \uf02d1. B. \uf02d5 \uf0a3 m \uf03c \uf02d1. C. m \uf0a3 \uf02d5 \uf0c8 m \uf03e \uf02d1. D. m \uf0a3 \uf02d4 \uf0c8 m \uf03e 0. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 119","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 D\u1ea1ng 4. B\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh Nh\u00f3m 1. Cho \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1, \u0111\u1ed3 th\u1ecb c\u1ee7a \u0111\u1ea1o h\u00e0m 38. Cho h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean. T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf03c 0 l\u00e0 A. \uf028\uf02d\uf0a5;2\uf029. B. \uf028\uf02d4;2\uf029. C. \uf028\uf02d1;1\uf029. D. \uf028\uf02d\uf0a5;2\uf029 \\\\ \uf07b\uf02d1\uf07d. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 39. Cho h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean. T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf0b3 0 c\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean? A. 5. B. 4. C. 1. D. 2. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 40. Cho h\u00e0m s\u1ed1 b\u1eadc ba y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean. T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf02d x \uf02d1 \uf03e 0 l\u00e0 A. \uf0281;\uf02b \uf0a5\uf029. B. \uf028\uf02d\uf0a5;0\uf029. C. \uf028\uf02d\uf0a5;1\uf029 \uf0c8 \uf0282;\uf02b \uf0a5\uf029. D. \uf028\uf02d1;1\uf029 \uf0c8 \uf0284;\uf02b \uf0a5\uf029. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 41. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029. H\u00e0m s\u1ed1 y \uf03d f \uf0a2\uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh sau. \u0110\u1eb7t g \uf028 x\uf029 \uf03d f \uf0281 \uf02d 2x\uf029 \uf02b x2 \uf02d x. T\u1eadp nghi\u1ec7m c\u1ee7a b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh g\uf0a2\uf028 x\uf029 \uf03c 0 l\u00e0 A. \uf0e6 \uf02d\uf0a5; \uf02d 3\uf0f6 \uf0c8 \uf0e6 1 ; 3 \uf0f6 . B. \uf0e6 0; 1 \uf0f6 . \uf0e8\uf0e7 2 \uf0f7\uf0f8 \uf0e8\uf0e7 2 2 \uf0f8\uf0f7 \uf0e7\uf0e8 2 \uf0f8\uf0f7 C. \uf028\uf02d2;\uf02d1\uf029. D. \uf0282;3\uf029. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 120","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 2. T\u00ecm m \u0111\u1ec3 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x, m\uf029 \uf0b3 0 ho\u1eb7c f \uf028 x, m\uf029 \uf0a3 0 \uf09f T\u00ecm m \u0111\u1ec3 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 nghi\u1ec7m tr\u00ean D ? \uf02b) B\u01b0\u1edbc 1. C\u00f4 l\u1eadp m \u0111\u01b0a v\u1ec1 d\u1ea1ng m \uf0b3 f \uf028 x\uf029 ho\u1eb7c m \uf0a3 f \uf028 x\uf029. \uf02b) B\u01b0\u1edbc 2. Kh\u1ea3o s\u00e1t s\u1ef1 bi\u1ebfn thi\u00ean v\u00e0 d\u1ef1a v\u00e0o b\u1ea3ng bi\u1ebfn thi\u00ean x\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb m. \uf09f T\u00ecm m \u0111\u1ec3 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 nghi\u1ec7m \u0111\u00fang tr\u00ean D ? \uf02b) B\u01b0\u1edbc 1. C\u00f4 l\u1eadp m \u0111\u01b0a v\u1ec1 d\u1ea1ng m \uf0b3 g \uf028 x\uf029 ho\u1eb7c m \uf0a3 g \uf028 x\uf029. \uf02b) B\u01b0\u1edbc 2. Kh\u1ea3o s\u00e1t s\u1ef1 bi\u1ebfn thi\u00ean v\u00e0 d\u1ef1a v\u00e0o b\u1ea3ng bi\u1ebfn thi\u00ean x\u00e1c \u0111\u1ecbnh gi\u00e1 tr\u1ecb m. Ch\u00fa \u00fd: N\u1ebfu f \uf028 x, m\uf029 l\u00e0 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc hai, ta s\u1ebd x\u1eed d\u1ee5ng d\u1ea5u tam th\u1ee9c. 42. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: C\u00f3 bao nhi\u00eau s\u1ed1 nguy\u00ean kh\u00f4ng \u00e2m c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf0b3 m c\u00f3 nghi\u1ec7m. A. 4. B. 6. C. 7. D. 5. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 43. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: T\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb th\u1ef1c c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf0b3 m v\u1edbi m\u1ecdi x \uf0ce \uf0a1. A. m \uf0b3 6. B. m \uf0a3 \uf02d4. C. m \uf03c \uf02d4. D. m \uf03e 6. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 44. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean d\u01b0\u01a1ng c\u1ee7a m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh x2 \uf02d mx \uf02d1 \uf03e 0 c\u00f3 nghi\u1ec7m x \uf0ce\uf0281; 4\uf029? A. 4. B. 3. C. 2. D. v\u00f4 s\u1ed1. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 121","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 45. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 \uf03d x3 \uf02b 3x2 \uf02d mx \uf02d 4. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \uf0ce \uf028\uf02d10;10\uf029 \u0111\u1ec3 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh f \uf0a2\uf028 x\uf029 \uf0b3 0 c\u00f3 nghi\u1ec7m \u0111\u00fang \uf022x \uf0ce\uf028\uf02d\uf0a5;1\uf029? A. 7. B. 5. C. 6. D. 8. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 46. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 \uf03d 1 x3 \uf02b 1 \uf028m \uf02d1\uf029 x2 \uf02d \uf028m \uf02d 9\uf029 x \uf02b m3. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean \u00e2m c\u1ee7a tham 32 s\u1ed1 m \u0111\u1ec3 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh f \uf0a2\uf028 x\uf029 \uf0b3 0 c\u00f3 nghi\u1ec7m \u0111\u00fang \uf022x \uf0ce\uf0281; \uf02b \uf0a5\uf029? A. 7. B. 5. C. 6. D. 8. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 47. Cho h\u00e0m s\u1ed1 f \uf028x\uf029 \uf03d x3 \uf02b 2mx \uf02d 1 . C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean \u00e2m c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 b\u1ea5t 5x5 ph\u01b0\u01a1ng tr\u00ecnh f \uf0a2\uf028 x\uf029 \uf0b3 0 c\u00f3 nghi\u1ec7m \u0111\u00fang \uf022x \uf0ce \uf0280;\uf02b \uf0a5\uf029. A. 3. B. 2. C. 1. D. 6. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 48. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 \uf03d 1 x3 \uf02d 1 \uf028m \uf02b 1\uf029 x2 \uf02b \uf028m \uf02b 1\uf029 x \uf02d 3. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean \u00e2m c\u1ee7a tham s\u1ed1 32 m \u0111\u1ec3 b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh f \uf0a2\uf028 x\uf029 \uf0b3 0 c\u00f3 nghi\u1ec7m \u0111\u00fang \uf022x \uf0ce \uf028\uf02d\uf0a5;1\uf029. A. 2. B. 1. C. 3. D. V\u00f4 s\u1ed1. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 122","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 D\u1ea1ng 5. T\u01b0\u01a1ng giao h\u00e0m s\u1ed1 c\u00f3 \u0111i\u1ec1u ki\u1ec7n Nh\u00f3m 1. S\u1eed d\u1ee5ng tam th\u1ee9c b\u1eadc hai \uf0eca \uf0b9 0 \uf09f C\u00f3 hai nghi\u1ec7m c\u00f3 ho\u00e0nh \u0111\u1ed9 d\u01b0\u01a1ng: \uf0ef\uf0ef\uf044 \uf03e 0 . \uf0ef\uf0edP \uf03e 0 \uf0ee\uf0efS \uf03e 0 \uf0eca \uf0b9 0 \uf09f C\u00f3 hai nghi\u1ec7m c\u00f3 ho\u00e0nh \u0111\u1ed9 \u00e2m: \uf0ef\uf0ef\uf044 \uf03e 0 . \uf0ef\uf0edP \uf03e 0 \uf0ee\uf0efS \uf03c 0 \uf09f C\u00f3 hai nghi\u1ec7m c\u00f3 ho\u00e0nh \u0111\u1ed9 tr\u00e1i d\u1ea5u: a.c \uf03c 0. \uf09f C\u00f3 hai nghi\u1ec7m x1, x2 th\u1ecfa m\u00e3n x1 \uf03c \uf061 \uf03c x2 \uf0db \uf028 x1 \uf02d \uf061 \uf029 \uf028 x2 \uf02d \uf061 \uf029 \uf03c 0. \uf0ec\uf044 \uf03e 0 \uf09f C\u00f3 hai nghi\u1ec7m x1, x2 th\u1ecfa m\u00e3n x1 \uf03c x2 \uf03c \uf061 \uf0db \uf0ed\uf0ef\uf028 x1 \uf02d \uf061 \uf029 \uf028 x2 \uf02d \uf061 \uf029 \uf03e 0. \uf0ef x1 \uf02b x2 \uf03c 2\uf061 \uf0ee \uf0ec\uf044 \uf03e 0 \uf09f C\u00f3 hai nghi\u1ec7m x1 , x2 th\u1ecfa m\u00e3n \uf061 \uf03c x1 \uf03c x2 \uf0db \uf0ef\uf0ed\uf028 x1 \uf02d \uf061 \uf029 \uf028 x2 \uf02d \uf061 \uf029 \uf03e 0. \uf0ef x1 \uf02b x2 \uf03e 2\uf061 \uf0ee 49. T\u1eadp h\u1ee3p t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 \u0111\u01b0\u1eddng th\u1eb3ng y \uf03d 2x \uf02b 1 v\u00e0 \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d x \uf02b m x \uf02d1 c\u00f3 hai \u0111i\u1ec3m chung l\u00e0 A. \uf0e6 \uf02d 3 ; \uf02d 1\uf0f6\uf0f7\uf0f8 \uf0c8 \uf028 \uf02d1; \uf02b \uf0a5\uf029. B. \uf0ea\uf0eb\uf0e9\uf02d 3 ; \uf02d 1\uf0f7\uf0f8\uf0f6 \uf0c8 \uf028 \uf02d1; \uf02b \uf0a5\uf029. C. \uf0e9\uf0eb\uf0ea\uf02d 3 ; \uf02b \uf0a5 \uf0f6 . D. \uf0e6 \uf02d 3 ; \uf02b \uf0a5 \uf0f8\uf0f6\uf0f7. \uf0e7\uf0e8 2 2 2 \uf0f8\uf0f7 \uf0e8\uf0e7 2 ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 50. T\u1eadp h\u1ee3p t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 \u0111\u01b0\u1eddng th\u1eb3ng y \uf03d mx \uf02b 1 v\u00e0 \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d x \uf02d 3 x \uf02b1 t\u1ea1i hai \u0111i\u1ec3m ph\u00e2n bi\u1ec7t l\u00e0 A. \uf028\uf02d\uf0a5;0\uf05d \uf0c8 \uf05b16;\uf02b \uf0a5\uf029. B. \uf028\uf02d\uf0a5;0\uf029 \uf0c8 \uf02816;\uf02b \uf0a5\uf029. C. \uf028\uf02d\uf0a5;0\uf029. D. \uf02816;\uf02b \uf0a5\uf029. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 123","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 \uf028 \uf02951. C\u00f3 bao nhi\u00eau s\u1ed1 nguy\u00ean c\u1ee7a tham s\u1ed1 m \uf028 m \uf03c 10\uf029 \u0111\u1ec3 \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d \uf028 x \uf02b 1\uf029 2x2 \uf02d mx \uf02b 1 c\u1eaft tr\u1ee5c ho\u00e0nh t\u1ea1i ba \u0111i\u1ec3m ph\u00e2n bi\u1ec7t? A. 13. B. 12. C. 14. D. 11. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 52. Cho h\u00e0m s\u1ed1 y \uf03d x3 \uf02d 3x \uf02b 2 c\u00f3 \u0111\u1ed3 th\u1ecb \uf028C \uf029 v\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng d : y \uf03d m \uf028 x \uf02d 3\uf029 \uf02b 20. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \uf0ce\uf028\uf02d25;25\uf029 \u0111\u1ec3 \u0111\u01b0\u1eddng th\u1eb3ng d c\u1eaft \uf028C \uf029 t\u1ea1i ba \u0111i\u1ec3m ph\u00e2n bi\u1ec7t. A. 20. B. 21. C. 18. D. 19. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 53. C\u00f3 bao nhi\u00eau s\u1ed1 nguy\u00ean c\u1ee7a tham s\u1ed1 m \uf0ce\uf05b\uf02d10;10\uf05d \u0111\u1ec3 \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d x4 \uf02d mx2 \uf02b m \uf02d1 c\u1eaft tr\u1ee5c ho\u00e0nh t\u1ea1i hai \u0111i\u1ec3m? B. 12. C. 8. D. 11. A. 13. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 54. C\u00f3 bao nhi\u00eau s\u1ed1 nguy\u00ean c\u1ee7a tham s\u1ed1 m \uf0ce\uf028\uf02d10;10\uf029 \u0111\u1ec3 parabol \uf028 P\uf029 : y \uf03d 2x2 \uf02d1 c\u1eaft \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d x4 \uf02d 2mx2 \uf02b 2m t\u1ea1i 4 \u0111i\u1ec3m ph\u00e2n bi\u1ec7t? A. 9. B. 8. C. 10. D. 11. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 124","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 2. C\u00f4 l\u1eadp tham s\u1ed1 m 55. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \uf0ce\uf028\uf02d10;10\uf029 \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh 2x \uf02d 1 \uf03d m c\u00f3 hai x \uf02b1 \uf02d1 nghi\u1ec7m ph\u00e2n bi\u1ec7t? A. 10. B. 11. C. 12. D. 1. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 56. T\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh 4 x2 \uf02b 1 \uf02d x \uf03d m c\u00f3 nghi\u1ec7m th\u1ef1c. A. \uf0280;1\uf05d. B. \uf0280;2\uf029. C. \uf0281;\uf02b \uf0a5\uf029. D. \uf05b1;2\uf029. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 57. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh m x2 \uf02b 1 \uf02b 2x \uf02b 5 \uf03d 0 c\u00f3 \u0111\u00fang 1 nghi\u1ec7m? A. 4. B. 5. C. V\u00f4 s\u1ed1. D. 6. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 125","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 58. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \uf0ce\uf05b\uf02d2018;2019\uf05d \u0111\u1ec3 \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d x3 \uf02d 3mx \uf02b 3 v\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng y \uf03d 3x \uf02b 1 c\u00f3 duy nh\u1ea5t 1 \u0111i\u1ec3m chung? A. 1. B. 2019. C. 4038. D. 2018. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 59. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh 3x2 \uf02d 3 \uf03d \uf02dx3 \uf02b m c\u00f3 2 nghi\u1ec7m th\u1ef1c ph\u00e2n bi\u1ec7t? A. 2. B. 1. C. V\u00f4 s\u1ed1. D. 3. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 60. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \uf0ce\uf05b\uf02d20;20\uf05d \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh x2 \uf02b mx \uf02d 2 \uf02d 2x \uf02d1 \uf03d 0 c\u00f3 nghi\u1ec7m? B. 20. C. 31. D. 19. A. 28. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 126","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 D\u1ea1ng 6. T\u01b0\u01a1ng giao h\u00e0m \u1ea9n Nh\u00f3m 1. 61. [\u0110\u1ec0 THAM KH\u1ea2O-BGD-L\u1ea6N 1-2020] Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: S\u1ed1 nghi\u1ec7m thu\u1ed9c \u0111o\u1ea1n \uf05b\uf02d\uf070 ;2\uf070 \uf05d c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh 2 f \uf028sin x\uf029 \uf02b 3 \uf03d 0 l\u00e0 A. 4. B. 6. C. 3. D. 8. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 62. Cho h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb trong h\u00ecnh b\u00ean. S\u1ed1 gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f \uf028sin x\uf029 \uf03d m c\u00f3 nghi\u1ec7m l\u00e0 A. 5. B. 1. C. 3. D. 2. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 63. Cho h\u00e0m s\u1ed1 b\u1eadc ba y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. \uf028 \uf029S\u1ed1 nghi\u1ec7m th\u1ef1c c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh f x3 \uf02d 3x \uf03d 4 l\u00e0 3 A. 3. B. 8. C. 7. D. 4. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 127","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 2. \u0110\u1eb7t \u1ea9n s\u1ed1 ph\u1ee5 64. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f 2 \uf0282x\uf029 \uf02d 2 f \uf0282x\uf029 \uf02d m \uf02b 2 \uf03d 0 c\u00f3 4 nghi\u1ec7m ph\u00e2n bi\u1ec7t tr\u00ean \uf028\uf02d\uf0a5;1\uf029? A. 3. B. 0. C. 1. D. 2. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 65. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f 2 \uf028 x\uf029 \uf02d 2mf \uf028 x\uf029 \uf02b 4m \uf02d1 \uf03d 0 c\u00f3 \u0111\u00fang 4 nghi\u1ec7m? B. 3. C. 1. D. 4. A. 2. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 128","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 3. \u0110\u01b0\u1eddng th\u1eb3ng song song ho\u1eb7c \u0111i qua \u0111i\u1ec3m c\u1ed1 \u0111\u1ecbnh 66. Cho h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 li\u00ean t\u1ee5c tr\u00ean \uf0a1 v\u00e0 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean. G\u1ecdi S l\u00e0 t\u1eadp t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf02d 3x \uf02d m \uf03d 0 c\u00f3 nghi\u1ec7m thu\u1ed9c kho\u1ea3ng \uf0280;1\uf05d. T\u1ed5ng c\u00e1c ph\u1ea7n t\u1eed c\u1ee7a S b\u1eb1ng A. \uf02d8. B. \uf02d10. C. 4. D. \uf02d6. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 67. Cho h\u00e0m s\u1ed1 b\u1eadc b\u1ed1n y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 trong h\u00ecnh b\u00ean. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf02d x \uf03d m c\u00f3 \u0111\u00fang hai nghi\u1ec7m thu\u1ed9c n\u1eeda kho\u1ea3ng \uf05b1;\uf02b\uf0a5\uf029 ? A. 5. B. 6. C. 7. D. 8. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 68. Cho h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 li\u00ean t\u1ee5c tr\u00ean \uf0a1 v\u00e0 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean. T\u1eadp h\u1ee3p t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb th\u1ef1c c\u1ee7a m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf03d mx \uf02b m \uf02d1 c\u00f3 nghi\u1ec7m thu\u1ed9c kho\u1ea3ng \uf0281;3\uf029 l\u00e0 A. \uf0280;1\uf029. B. \uf0e6 1 ; 3 \uf0f6\uf0f7\uf0f8. C. \uf0281;3\uf029. \uf0e8\uf0e7 4 2 D. \uf028\uf02d1;2\uf029. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 129","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 4. 69. Cho h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 li\u00ean t\u1ee5c tr\u00ean \uf0a1 v\u00e0 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 ph\u01b0\u01a1ng tr\u00ecnh f \uf028sin x\uf029 \uf02d 3sin x \uf03d m c\u00f3 hai nghi\u1ec7m ph\u00e2n bi\u1ec7t thu\u1ed9c kho\u1ea3ng \uf0280;\uf070 \uf029? A. 2. B. 3. C. 4. D. v\u00f4 s\u1ed1. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 70. Cho h\u00e0m s\u1ed1 b\u1eadc ba y \uf03d f \uf028 x\uf029 \uf03d ax3 \uf02b bx2 \uf02b 1 x \uf02b c v\u00e0 3 \u0111\u01b0\u1eddng th\u1eb3ng y \uf03d g \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 trong h\u00ecnh v\u1ebd b\u00ean. Bi\u1ebft \u0111o\u1ea1n th\u1eb3ng AB c\u00f3 \u0111\u1ed9 d\u00e0i b\u1eb1ng 5. S\u1ed1 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh f \uf028 x\uf029 \uf03d g \uf028 x\uf029 \uf02b x2 \uf02b 2 l\u00e0 A. 0. B. 2. C. 1. D. 3. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 71. [\u0110\u1ec0-CH\u00cdNH-TH\u1ee8C-L\u1ea6N-1-101-2020] Cho h\u00e0m s\u1ed1 b\u1eadc ba y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong trong h\u00ecnh b\u00ean. S\u1ed1 \uf028 \uf029nghi\u1ec7m th\u1ef1c ph\u00e2n bi\u1ec7t c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh f x3 f \uf028 x\uf029 \uf02b 1 \uf03d 0 l\u00e0 A. 8. B. 5. C. 6. D. 4. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 130","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 B\u00e0i 7. B\u00c0I TO\u00c1N LI\u00caN QUAN H\u00c0M \u1ea8N D\u1ea1ng 1. H\u00e0m ch\u1ee9a tr\u1ecb tuy\u1ec7t \u0111\u1ed1i Ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i \uf09f H\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 \u0111\u01b0\u1ee3c v\u1ebd \uf02b) L\u1ea5y \u0111\u1ed1i x\u1ee9ng nh\u00e1nh \u0111\u1ed3 th\u1ecb b\u00ean d\u01b0\u1edbi tr\u1ee5c ho\u00e0nh qua tr\u1ee5c ho\u00e0nh. \uf02b) B\u1ecf \u0111i ph\u1ea7n d\u01b0\u1edbi tr\u1ee5c ho\u00e0nh. \uf09f H\u00e0m s\u1ed1 y \uf03d f \uf028 x \uf029 \u0111\u01b0\u1ee3c v\u1ebd \uf02b) L\u1ea5y \u0111\u1ed1i x\u1ee9ng nh\u00e1nh \u0111\u1ed3 th\u1ecb b\u00ean ph\u1ea3i tr\u1ee5c tung qua tr\u1ee5c tung \uf02b) B\u1ecf \u0111i ph\u1ea7n b\u00ean tr\u00e1i tr\u1ee5c tung. Nh\u00f3m 1. T\u00ednh \u0111\u01a1n \u0111i\u1ec7u 1. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean d\u01b0\u01a1ng c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 h\u00e0m s\u1ed1 y \uf03d x3 \uf02d 3x2 \uf02b m \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng \uf0281; 2\uf029? A. 2. B. 1. C. 3. D. v\u00f4 s\u1ed1. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 2. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb c\u1ee7a tham s\u1ed1 m \uf028m \uf03c 10\uf029 \u0111\u1ec3 h\u00e0m s\u1ed1 y \uf03d 3x4 \uf02d 4x3 \uf02d 12x2 \uf02b m ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng \uf028\uf02d\uf0a5;\uf02d1\uf029 ? A. 6. B. 4. C. 3. D. 5. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 131","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 2. C\u1ef1c tr\u1ecb 3. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. S\u1ed1 \u0111i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 l\u00e0 A. 7. B. 5. C. 3. D. 9. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 4. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. S\u1ed1 \u0111i\u1ec3m c\u1ef1c ti\u1ec3u c\u1ee7a h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 l\u00e0 A. 1. B. 2. C. 4. D. 3. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 5. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. S\u1ed1 \u0111i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 y \uf03d f \uf028 x \uf029 l\u00e0 A. 7. B. 5. C. 3. D. 9. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 6. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 h\u00ecnh sau: H\u00e0m s\u1ed1 y \uf03d f \uf028 x \uf029 c\u00f3 bao nhi\u00eau \u0111i\u1ec3m c\u1ef1c tr\u1ecb A. 1. B. 2. C. 3. D. 4. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 132","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 3. Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, nh\u1ecf nh\u1ea5t 7. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 li\u00ean t\u1ee5c tr\u00ean \u0111o\u1ea1n \uf05b\uf02d1;3\uf05d v\u00e0 c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong nh\u01b0 h\u00ecnh b\u00ean. G\u1ecdi M v\u00e0 m l\u1ea7n l\u01b0\u1ee3t l\u00e0 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 tr\u00ean \uf05b\uf02d1;3\uf05d. Gi\u00e1 tr\u1ecb c\u1ee7a M \uf02b m b\u1eb1ng A. 1. B. \uf02d2. C. 3. D. 5. ................................................................................. ................................................................................. 8. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 li\u00ean t\u1ee5c tr\u00ean \u0111o\u1ea1n \uf05b\uf02d2; 2\uf05d v\u00e0 c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong nh\u01b0 h\u00ecnh b\u00ean. G\u1ecdi M v\u00e0 m l\u1ea7n l\u01b0\u1ee3t l\u00e0 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 tr\u00ean \uf05b\uf02d2; 2\uf05d. Gi\u00e1 tr\u1ecb c\u1ee7a M \uf02b m b\u1eb1ng A. 1. B. 3. C. 5. D. 6. ................................................................................. ................................................................................. 9. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 y \uf03d 2 f \uf028 x\uf029 \uf02d 3 l\u00e0 A. 9. B. 2. C. 1. D. 3. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 10. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 li\u00ean t\u1ee5c tr\u00ean \u0111o\u1ea1n \uf05b\uf02d1;3\uf05d v\u00e0 c\u00f3 \u0111\u1ed3 th\u1ecb l\u00e0 \u0111\u01b0\u1eddng cong nh\u01b0 h\u00ecnh b\u00ean. G\u1ecdi M v\u00e0 m l\u1ea7n l\u01b0\u1ee3t l\u00e0 gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 y \uf03d f \uf028 x \uf029 tr\u00ean \uf05b\uf02d1;3\uf05d. Gi\u00e1 tr\u1ecb c\u1ee7a M \uf02b m b\u1eb1ng A. 1. B. \uf02d2. C. 3. D. 5. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 133","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 4. X\u00e9t \u0111\u01a1n \u0111i\u1ec7u, c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m h\u1ee3p ch\u1ee9a tr\u1ecb tuy\u1ec7t \u0111\u1ed1i \uf09f N\u1eafm v\u1eefng ki\u1ebfn th\u1ee9c ph\u00e9p bi\u1ebfn \u0111\u1ed5i \u0111\u1ed3 th\u1ecb h\u00e0m tr\u1ecb tuy\u1ec7t \u0111\u1ed1i. \uf09f \u0110\u1ea1o h\u00e0m: g\uf0a2\uf028 x\uf029 \uf03d u\uf0a2.u . f \uf0a2\uf028 u \uf029. u \uf02b) Cho g\uf0a2\uf028x\uf029 \uf03d 0 \uf0db \uf0e9u\uf0a2 \uf03d 0 v\u00e0 g\uf0a2\uf028x\uf029 kh\u00f4ng x\u00e1c \u0111\u1ecbnh khi u \uf03d 0. \uf0ea f \uf0a2\uf028 u \uf029 \uf03d0 \uf0ea\uf0eb \uf09f K\u1ebb b\u1ea3ng bi\u1ebfn thi\u00ean, x\u00e9t d\u1ea5u v\u00e0 k\u1ebft lu\u1eadn b\u00e0i to\u00e1n. 11. \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d f \uf0a2\uf028 x\uf029 nh\u01b0 h\u00ecnh b\u00ean. H\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf028 3 \uf02d x \uf029 \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng A. \uf028\uf02d\uf0a5;\uf02d1\uf029. B. \uf028\uf02d1;2\uf029. C. \uf0282;3\uf029. D. \uf0284;7\uf029. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 12. Cho h\u00e0m s\u1ed1 \u0111a th\u1ee9c f \uf028 x\uf029 c\u00f3 \u0111\u1ea1o h\u00e0m tr\u00ean \uf0a1, f \uf0280\uf029 \uf03d 0 v\u00e0 y \uf03d f \uf0a2\uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean. H\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf028 x\uf029 \uf02b 3x c\u00f3 ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng A. \uf028\uf02d\uf0a5;\uf02d1\uf029. B. \uf028\uf02d1;0\uf029. C. \uf0280;1\uf029. D. \uf0281;\uf02b \uf0a5\uf029. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 134","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 13. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. S\u1ed1 \u0111i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 y \uf03d 2 f \uf028 x\uf029 \uf02b 5 \uf02b 3 l\u00e0 A. 2. B. 3. C. 5. D. 7. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 14. Cho h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 li\u00ean t\u1ee5c tr\u00ean \uf0a1 v\u00e0 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean. S\u1ed1 \u0111i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f 2 \uf028 x\uf029 \uf02d 2 f \uf028 x\uf029 \uf02d 8 l\u00e0 A. 9. B. 10. C. 11. D. 7. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 15. Cho h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 x\u00e1c \u0111\u1ecbnh, li\u00ean t\u1ee5c tr\u00ean \uf0a1 v\u00e0 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. S\u1ed1 \u0111i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf028\uf02d x \uf02b1\uf029 l\u00e0 A. 9. B. 8. C. 7. D. 6. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 135","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 5. Gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, nh\u1ecf nh\u1ea5t \uf074 H\u00e0m s\u1ed1 c\u00f3 d\u1ea1ng y \uf03d f \uf028 x\uf029 \u0111\u1ea1t GTLN, GTNN b\u1eb1ng k. \uf09f Kh\u1ea3o s\u00e1t h\u00e0m f \uf028 x\uf029 t\u00ecm \u0111\u01b0\u1ee3c min f \uf028 x\uf029 \uf03d a, max f \uf028 x\uf029 \uf03d b. \uf09f X\u00e9t 3 tr\u01b0\u1eddng h\u1ee3p: \uf050 N\u1ebfu a \uf03e 0 \uf0de min f \uf028 x\uf029 \uf03d a, max f \uf028 x\uf029 \uf03d b. \uf050 N\u1ebfu b \uf03c 0 \uf0de min f \uf028 x\uf029 \uf03d \uf02db, max f \uf028 x\uf029 \uf03d \uf02da. \uf050 N\u1ebfu a \uf03c 0 \uf03c b \uf0de min f \uf028 x\uf029 \uf03d 0, max f \uf028x\uf029 \uf03d \uf07b\uf02da;b\uf07d \uf03d \uf0ecb khi b \uf0b3 \uf02da \uf0ee\uf0ed\uf02da khi . b \uf03c \uf02da 16. [\u0110\u1ec0 THAM KH\u1ea2O BGD \u2013 L\u1ea6N 1 \u2013 2020] G\u1ecdi S l\u00e0 t\u1eadp h\u1ee3p t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb th\u1ef1c c\u1ee7a tham s\u1ed1 m sao cho gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 f \uf028 x\uf029 \uf03d x3 \uf02d 3x \uf02b m tr\u00ean \u0111o\u1ea1n \uf05b0;3\uf05d b\u1eb1ng 16. T\u1ed5ng t\u1ea5t c\u1ea3 c\u00e1c ph\u1ea7n t\u1eed c\u1ee7a S b\u1eb1ng B. 16. C. \uf02d12. D. \uf02d2. A. \uf02d16. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 17. [\u0110\u1ec0 THAM KH\u1ea2O BGD \u2013 L\u1ea6N 2 \u2013 2020] Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 \uf03d x \uf02b m ( m l\u00e0 tham s\u1ed1 th\u1ef1c). G\u1ecdi S x \uf02b1 l\u00e0 t\u1eadp h\u1ee3p t\u1ea5t c\u1ea3 c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a m sao cho max f \uf028 x\uf029 \uf02b min f \uf028 x\uf029 \uf03d 2. S\u1ed1 ph\u1ea7n t\u1eed c\u1ee7a S l\u00e0 \uf05b0;1\uf05d \uf05b0;1\uf05d A. 6. B. 2. C. 1. D. 4. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 18. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 li\u00ean t\u1ee5c tr\u00ean \uf0a1 v\u00e0 f \uf0282\uf029 \uf03c 0. H\u00e0m s\u1ed1 y \uf03d f \uf0a2\uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. Gi\u00e1 tr\u1ecb nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf028 x\uf029 tr\u00ean \u0111o\u1ea1n \uf05b\uf02d1;3\uf05d b\u1eb1ng A. \uf02d f \uf0283\uf029. B. \uf02d f \uf0282\uf029. C. f \uf0281\uf029. D. f \uf0283\uf029. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 136","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 D\u1ea1ng 2. S\u1eed d\u1ee5ng t\u01b0\u01a1ng giao c\u1ee7a hai \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 Nh\u00f3m 1. X\u00e9t t\u00ednh \u0111\u01a1n \u0111i\u1ec7u, c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 \uf09f N\u1eafm ch\u1eafc s\u1ef1 t\u01b0\u01a1ng giao c\u1ee7a hai \u0111\u1ed3 th\u1ecb. \uf09f \u0110\u1ea1o h\u00e0m g\uf0a2\uf028 x\uf029 \uf03d u\uf0a2\uf028 x\uf029 f \uf0a2\uf028u \uf028 x\uf029\uf029 \uf02d h\uf0a2\uf028 x\uf029. \uf02b) Cho g\uf0a2\uf028 x\uf029 \uf03d 0 \uf0db u\uf0a2\uf028 x\uf029 f \uf0a2\uf028u \uf028 x\uf029\uf029 \uf02d h\uf0a2\uf028 x\uf029 \uf03d 0. \uf02b) Thay f \uf0a2\uf028u \uf028 x\uf029\uf029 v\u00e0o f \uf0a2\uf028 x\uf029 r\u1ed3i gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh. \uf02b) S\u1ef1 t\u01b0\u01a1ng giao c\u1ee7a hai \u0111\u1ed3 th\u1ecb f \uf0a2\uf028t\uf029 v\u00e0 g \uf028t\uf029. \uf09f L\u1eadp b\u1ea3ng bi\u1ebfn thi\u00ean, suy ra t\u00ednh \u0111\u01a1n \u0111i\u1ec7u c\u1ee7a h\u00e0m s\u1ed1. \uf02b) N\u1ebfu kho\u1ea3ng \uf028a;b\uf029 n\u1ebfu \u0111\u1ed3 th\u1ecb f \uf0a2\uf028t\uf029 n\u1eb1m tr\u00ean \u0111\u1ed3 th\u1ecb g \uf028t\uf029 th\u00ec f \uf0a2\uf028t\uf029 \uf03e g \uf028t\uf029. \uf02b) N\u1ebfu kho\u1ea3ng \uf028a;b\uf029 n\u1ebfu \u0111\u1ed3 th\u1ecb f \uf0a2\uf028t\uf029 n\u1eb1m d\u01b0\u1edbi \u0111\u1ed3 th\u1ecb g \uf028t \uf029 th\u00ec f \uf0a2\uf028t\uf029 \uf03c g \uf028t\uf029. \uf02b) N\u1ebfu f \uf0a2\uf028t\uf029 ti\u1ebfp x\u00fac g \uf028t\uf029 t\u1ea1i x \uf03d a th\u00ec \u0111\u00f3 l\u00e0 nghi\u1ec7m k\u00e9p. 19. \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d f \uf0a2\uf028 x\uf029 nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. H\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf028 x\uf029 \uf02d x ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng n\u00e0o d\u01b0\u1edbi \u0111\u00e2y? A. \uf028\uf02d3; \uf02d 2\uf029. B. \uf028\uf02d2;\uf02d1\uf029. C. \uf028\uf02d1;1\uf029. D. \uf0282;3\uf029. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 20. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029. \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d f \uf0a2\uf028 x\uf029 nh\u01b0 h\u00ecnh b\u00ean. H\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d 2 f \uf028 x\uf029 \uf02d x2 \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng n\u00e0o trong c\u00e1c kho\u1ea3ng d\u01b0\u1edbi \u0111\u00e2y? A. \uf028\uf02d\uf0a5;\uf02d 2\uf029. B. \uf028\uf02d2;2\uf029. C. \uf0282;4\uf029. D. \uf0282;\uf02b \uf0a5\uf029. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 137","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 21. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029. \u0110\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y \uf03d f \uf0a2\uf028 x\uf029 nh\u01b0 h\u00ecnh b\u00ean. H\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf0281 \uf02d x\uf029 \uf02b x2 \uf02d 2x ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng 2 A. \uf028\uf02d3;1\uf029. B. \uf028\uf02d2;0\uf029. C. \uf0281;3\uf029. D. \uf0e6 \uf02d1; 3 \uf0f6\uf0f8\uf0f7 . \uf0e7\uf0e8 2 ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 22. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. S\u1ed1 \u0111i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 y \uf03d f \uf0eb\uf0e9 f \uf028 x\uf029\uf0f9\uf0fb l\u00e0 A. 5. B. 3. C. 4. D. 6. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 23. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 \u0111\u1ea1o h\u00e0m f \uf0a2\uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh v\u1ebd b\u00ean. H\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf028 x\uf029 \uf02d x3 \uf02b x2 \uf02d x \uf02b 2 c\u00f3 bao nhi\u00eau \u0111i\u1ec3m 3 c\u1ef1c ti\u1ec3u? A. 1. B. 2. C. 0. D. 3. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 138","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 2. T\u00ecm h\u00e0m s\u1ed1 24. Cho h\u00e0m s\u1ed1 b\u1eadc b\u1ed1n f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: H\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf028 x\uf029 \uf02b \uf028 x \uf02b 1\uf0293 \u0111\u1ea1t c\u1ef1c ti\u1ec3u t\u1ea1i A. x \uf03d \uf02d3. B. x \uf03d \uf02d1. C. x \uf03d 0. D. x \uf03d \uf02d5. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 25. Cho h\u00e0m s\u1ed1 b\u1eadc b\u1ed1n f \uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: S\u1ed1 \u0111i\u1ec3m c\u1ef1c tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d x4 \uf0e9\uf0eb f \uf028 x \uf02b 1\uf029\uf0f9\uf0fb2 l\u00e0 A. 11. B. 9. C. 7. D. 5. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 139","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 26. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 \uf03d ax5 \uf02b bx3 \uf02b cx. H\u00e0m s\u1ed1 y \uf03d f \uf0a2\uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: H\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf0282x \uf02b 1\uf029 \uf02b 8x3 \uf02b 12x2 \uf02b 2x \u0111\u1ea1t c\u1ef1c \u0111\u1ea1i t\u1ea1i A. x \uf03d 0. B. x \uf03d \uf02d1. C. x \uf03d \uf02d 1 \uf0d7 D. x \uf03d 2. 2 ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 27. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 \uf03d ax4 \uf02b bx3 \uf02b cx2 \uf02b dx \uf02b e. H\u00e0m s\u1ed1 y \uf03d f \uf0a2\uf028 x\uf029 c\u00f3 b\u1ea3ng bi\u1ebfn thi\u00ean nh\u01b0 sau: H\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 \uf02d x2 \uf02b 3 x \u0111\u1ea1t c\u1ef1c \u0111\u1ea1i t\u1ea1i 2 A. x \uf03d \uf02d1. B. x \uf03d 1 \uf0d7 C. x \uf03d 1 \uf02b 39 \uf0d7 D. x \uf03d 0. 2 2 ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 140","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 D\u1ea1ng 3. Li\u00ean quan ch\u1ee9a tham s\u1ed1 c\u1ee7a m Nh\u00f3m 1. \u0110\u01a1n \u0111i\u1ec7u h\u00e0m \u1ea9n c\u00f3 ch\u1ee9a tham s\u1ed1 \uf09f N\u1ebfu f \uf0a2\uf028 x\uf029 ch\u1ee9a tham s\u1ed1 m, g \uf028 x\uf029 \uf03d f \uf028u \uf028 x\uf029\uf029. \uf02b) \u0110\u1ea1o h\u00e0m g\uf0a2\uf028 x\uf029 \uf03d u\uf0a2\uf028 x\uf029. f \uf0a2\uf028u \uf028 x\uf029\uf029. \uf02b) Thay u \uf028 x\uf029 v\u00e0o x c\u1ee7a f \uf0a2\uf028 x\uf029, sau \u0111\u00f3 c\u00f4 l\u1eadp m gi\u1ea3i \u0111i\u1ec1u ki\u1ec7n b\u00e0i to\u00e1n. \uf09f N\u1ebfu f \uf0a2\uf028 x\uf029 kh\u00f4ng ch\u1ee9a tham s\u1ed1 m, g \uf028 x\uf029 \uf03d f \uf028 x,m\uf029. \uf02b) T\u00ecm kho\u1ea3ng \u0111\u01a1n \u0111i\u1ec7u c\u1ee7a f \uf028 x\uf029. \uf02b) \u0110\u1ea1o h\u00e0m: g\uf0a2\uf028 x\uf029 \uf03d f \uf0a2\uf028 x,m\uf029. \uf02b) Thay v\u00e0o x, sau \u0111\u00f3 c\u00f4 l\u1eadp m gi\u1ea3i \u0111i\u1ec1u ki\u1ec7n b\u00e0i to\u00e1n. \uf028 \uf02928. Cho h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ea1o h\u00e0m f \uf0a2\uf028 x\uf029 \uf03d x \uf028 x \uf02d1\uf0292 3x4 \uf02b mx3 \uf02b 1 v\u1edbi m\u1ecdi x \uf0ce \uf0a1. C\u00f3 bao nhi\u00eau s\u1ed1 nguy\u00ean \u00e2m m \u0111\u1ec3 h\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf028 x2 \uf029 \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng \uf0280;\uf02b\uf0a5\uf029 ? A. 3. B. 4. C. 5. D. 6. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. \uf028 \uf02929. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 \u0111\u1ea1o h\u00e0m f \uf0a2\uf028 x\uf029 \uf03d \uf028 x \uf02d1\uf0292 x2 \uf02d 2x v\u1edbi m\u1ecdi x \uf0ce \uf0a1. C\u00f3 bao nhi\u00eau s\u1ed1 nguy\u00ean m \uf03c 100 \u0111\u1ec3 h\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf028 x2 \uf02d 8x \uf02b m\uf029 \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng \uf0284;\uf02b\uf0a5\uf029 ? A. 18. B. 82. C. 83. D. 84. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 141","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 30. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 \u0111\u1ea1o h\u00e0m tr\u00ean \uf0a1. \u0110\u1ea1o h\u00e0m f \uf0a2\uf028 x\uf029 c\u00f3 b\u1ea3ng x\u00e9t d\u1ea5u \uf028 \uf029C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a m \u0111\u1ec3 h\u00e0m s\u1ed1 y \uf03d f x2 \uf02d m ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng \uf0280;1\uf029. A. 3. B. 4. C. V\u00f4 s\u1ed1. D. 2. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 31. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029. H\u00e0m s\u1ed1 y \uf03d f \uf0a2\uf028 x\uf029 c\u00f3 \u0111\u1ed3 th\u1ecb nh\u01b0 h\u00ecnh b\u00ean. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 h\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf028 x \uf02b m2 \uf029 ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng \uf028\uf02d1;0\uf029 ? A. 2. B. 0. C. 4. D. 3. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 142","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 Nh\u00f3m 2. C\u1ef1c tr\u1ecb c\u00f3 tham s\u1ed1 \uf09f Cho f \uf0a2\uf028 x\uf029 kh\u00f4ng ch\u1ee9a tham s\u1ed1, t\u00ecm m \u0111\u1ec3 f \uf028 x,m\uf029 c\u00f3 n \u0111i\u1ec3m c\u1ef1c tr\u1ecb: \uf02b) Cho f \uf0a2\uf028 x\uf029 \uf03d 0 \uf0db x \uf03d xi l\u00e0 c\u00e1c \u0111i\u1ec3m c\u1ef1c tr\u1ecb (ch\u00fa \u00fd xi l\u00e0 nghi\u1ec7m b\u1ed9i ch\u1eb5n lo\u1ea1i). \uf02b) \u0110\u1ea1o h\u00e0m: f \uf0a2\uf028 x, m\uf029. \uf02b) Cho f \uf0a2\uf028 x, m\uf029 \uf03d 0 \uf0db h\uf028 x, m\uf029 \uf03d xi , \u0111\u01b0a v\u1ec1 d\u1ea1ng c\u00f4 l\u1eadp m. \uf02b) D\u1ef1a theo y\u00eau c\u1ea7u \u0111\u1ec1 b\u00e0i \u0111\u1ec3 t\u00ecm m. \uf09f Cho f \uf0a2\uf028 x,m\uf029 ch\u1ee9a tham s\u1ed1 m. T\u00ecm m \u0111\u1ec3 g \uf028 x\uf029 \uf03d f \uf028u \uf028 x\uf029\uf029 c\u00f3 n \u0111i\u1ec3m c\u1ef1c tr\u1ecb: \uf02b) \u0110\u1ea1o h\u00e0m: g\uf0a2\uf028 x\uf029 \uf03d u\uf0a2\uf028 x\uf029. f \uf0a2\uf028u \uf028 x\uf029\uf029 \uf03d u\uf0a2\uf028 x\uf029. f \uf0a2\uf028 x, m\uf029. \uf02b) Cho g\uf0a2\uf028 x\uf029 \uf03d 0 , sau \u0111\u00f3 \u0111\u01b0a v\u1ec1 d\u1ea1ng c\u00f4 l\u1eadp m . \uf02b) D\u1ef1a v\u00e0o y\u00eau c\u1ea7u b\u00e0i to\u00e1n \u0111\u1ec3 t\u00ecm m . \uf09f Cho \u0111\u1ed3 th\u1ecb f \uf028 x\uf029 . T\u00ecm m \u0111\u1ec3 h\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf028 x\uf029 \uf02b m c\u00f3 n \u0111i\u1ec3m c\u1ef1c tr\u1ecb: \uf02b) \u0110\u1ea1o h\u00e0m: g\uf0a2\uf028x\uf029 \uf03d f \uf0a2\uf028x\uf029.\uf028 f \uf028x\uf029\uf02b m\uf029 g\uf0a2\uf028x\uf029 \uf03d 0 \uf0db \uf0e9 f \uf0a2\uf028x\uf029 \uf03d 0 . \uf0ea f \uf028 x\uf029 \uf02b m . Cho \uf0eb\uf0ea f \uf028 x\uf029 \uf02b m \uf03d 0 \uf02b) \u0110\u01b0a b\u00e0i to\u00e1n v\u1ec1 d\u1ea1ng bi\u1ec7n lu\u1eadn tham s\u1ed1 m \u0111\u1ec3 g \uf028 x\uf029 c\u00f3 n \u0111i\u1ec3m c\u1ef1c tr\u1ecb. \uf028 \uf02932. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 \u0111\u1ea1o h\u00e0m f \uf0a2\uf028 x\uf029 \uf03d \uf028 x \uf02d1\uf0292 x2 \uf02d 2x v\u1edbi \uf022x \uf0ce \uf0a1. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean \uf028 \uf029d\u01b0\u01a1ng c\u1ee7a tham s\u1ed1 m \u0111\u1ec3 h\u00e0m s\u1ed1 y \uf03d f x2 \uf02d 8x \uf02b m c\u00f3 5 \u0111i\u1ec3m c\u1ef1c tr\u1ecb? A. 15. B. 17. C. 16. D. 18. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. \uf028 \uf02933. Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 c\u00f3 \u0111\u1ea1o h\u00e0m f \uf0a2\uf028 x\uf029 \uf03d x \uf028 x \uf02d 1\uf0292 3x4 \uf02b mx3 \uf02b 1 v\u1edbi m\u1ecdi x \uf0ce \uf0a1. C\u00f3 bao nhi\u00eau s\u1ed1 nguy\u00ean m \uf0ce\uf028\uf02d8;8\uf029 \u0111\u1ec3 h\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf028 x2 \uf029 c\u00f3 5 \u0111i\u1ec3m c\u1ef1c tr\u1ecb? A. 3. B. 4. C. 11. D. 12. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 143","C\u00abng ty TNHH gi\u00b8o d\u00f4c t\u00e6ng h\u00eep Th\u00b5nh Nh\u00a9n Gi\u00b6i t\u00ddch 12 \u2013 Ch\u00ad\u00acng 1 \u2013 Kh\u00b6o s\u00b8t h\u00b5m s\u00e8 \uf028 \uf02934. [\u0110\u1ec0-THPTQG-102-\u0110\u1ee2T-1-2021] Cho h\u00e0m s\u1ed1 y \uf03d f \uf028 x\uf029 c\u00f3 \u0111\u1ea1o h\u00e0m f \uf0a2\uf028 x\uf029 \uf03d \uf028 x \uf02d 8\uf029 x2 \uf02d 9 v\u1edbi \uf028 \uf029\uf022x \uf0ce \uf0a1. H\u1ecfi c\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean d\u01b0\u01a1ng c\u1ee7a m \u0111\u1ec3 h\u00e0m s\u1ed1 f x3 \uf02b 6x \uf02b m c\u00f3 \u00edt nh\u1ea5t 3 c\u1ef1c tr\u1ecb? A. 5. B. 7. C. 8. D. 6. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. 35. [\u0110\u1ec0-THPTQG-102-\u0110\u1ee2T-2-2021] Cho h\u00e0m s\u1ed1 f \uf028 x\uf029 \uf03d x4 \uf02d12x3 \uf02b 30x2 \uf02b \uf0284 \uf02d m\uf029 x v\u1edbi m l\u00e0 tham s\u1ed1 th\u1ef1c. C\u00f3 bao nhi\u00eau gi\u00e1 tr\u1ecb nguy\u00ean c\u1ee7a m \u0111\u1ec3 h\u00e0m s\u1ed1 g \uf028 x\uf029 \uf03d f \uf028 x \uf029 c\u00f3 7 \u0111i\u1ec3m c\u1ef1c tr\u1ecb? A. 27. B. 31. C. 28. D. 30. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. ................................................................................. Bi\u00aan so\u00b9n & gi\u00b6ng d\u00b9y: Th\u00c7y Nguy\u00d4n Nh\u00a9n T\u00d7nh Trang 144"]