SGV TOAN 8-CTST

["C G I 60o K D H 120o L a) b) c) V\u1eadn d\u1ee5ngQ 3. Quan s\u00e1t H\u00ecMnh 10, choT8b0oi\u1ebft ABSCD Z AB v\u00e0 AKCH \u0111\u1ec1u l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. Ch\u1ee9ng minh ba V 75o K \u0111o\u1ea1n th\u1eb3ng ACO, BD v\u00e0 HK c\u00f3 c\u00f9ng trung \u0111i\u1ec3m O. Y \u2013 MP\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadNn d\u1ee5ng v3\u00e0: oGtih\u00fa\u1ef1pcUHt1S\u1ebf00nco \u00f3h\u1eadcn7\u01a10obhiR\u1ed9\u1ebfit H10O5o v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1eeba h\u1ecdc c\u00e1c h\u00ecnh b\u00ecnh hd\u00e0)nh c\u0169ng nh\u01b0 s\u1eed d\u1ee5ng t\u00ednh ce)h\u1ea5t c\u1ee7a D X C H\u00ecnh 1g0) h\u00ecnh b\u00ecnh h\u00e0nh trong ch\u1ee9ng minh. H\u00ecnh 9 A B \u2013 GV\u01a1\u0323\u1eadi ny\u0301dt\u00f4\u1ee5\u0309 ncgh\u01b03\u0301c. QVu\u1eadannds\u1ee5\u00e1tnHg\u00ec3n:hH10S, ctrha\u0309olb\u01a1\u0300ii\u1ebftyA\u00eauBCc\u1ea7Du v\u00e0o v\u1edf, GV s\u1eeda chunKg tr\u01b0\u1edbc l\u1edbp. GV c\u00f3vt\u00e0h\u1ec3AtK\u1ed5CcHh\u1ee9\u0111c\u1ec1cuhol\u00e0HhS\u00ecnhl\u00e0mb\u00ecnvhi\u1ec7hc\u00e0nnhh\u00f3. mChh\u1ee9on\u1eb7gc mthiunyh\u1ebft tr\u00ecnh. ba \u0111o\u1ea1n th\u1eb3ng AC, BD v\u00e0 HK c\u00f3 c\u00f9ng trung O 2. HH\u0111\u00ecin\u00ec\u1ec3nhmhttOhhoo. iil\u00e0 t\u1ee9 gi\u00e1c c\u00f3 b\u1ed1n c\u1ea1nh b\u1eb1ng nhau. D H C H\u00ecnh 10 2\u0110.\u1ecbnHh\u00ccnNgHh\u0129TaHOI H\u0110V\u0110K\u00ed\u1ecbPndh\u1ee54n4g. hT\u0129raong c\u00e1c t\u1ee9 gi\u00e1c \u1edf H\u00ecnh 12, t\u1ee9 gi\u00e1c n\u00e0o l\u00e0 h\u00ecnh thoi? MN A B 4 H\u00ecnh 11a l\u00e0 h\u00ecnh ch\u1ee5p t\u1ea5m l\u01b0\u1edbi th\u00e9p \u0111\u01b0\u1ee3c \u0111an th\u00e0nh nhi\u1ec1u m\u1eaft. H\u00ecnh 11b l\u00e0 h\u00ecnh v\u1ebd ph\u00f3ng to c\u1ee7a m\u1ed9t m\u1eaft l\u01b0\u1edbi. \u0110o \u0111\u1ed9 d\u00e0i c\u00e1c c\u1ea1nh c\u1ee7a t\u1ee9 gi\u00e1c ABCD v\u00e0 r\u00fat ra nh\u1eadn x\u00e9t. QP B a) DC b) H\u00ecnh 12 A C Gi\u1ea3i D \u2013 T\u1ee9 gi\u00e1c MNPQ c\u00f3 b\u1ed1n c\u1ea1nh b\u1eb1ng nhau n\u00ean l\u00e0 h\u00ecnh thoi. \u2013 T\u1ee9 gi\u00e1c ABCD ch\u1ec9 c\u00f3 ac)\u00e1c c\u1ea1nh \u0111\u1ed1i b\u1eb1Hn\u00ecgnhn1h1au n\u00ean ch\u1ec9 l\u00e0 h\u00ecnh b\u00ecnhb)h\u00e0nh v\u00e0 kh\u00f4ng ph\u1ea3i 76T\u00ednlh\u00e0 hc\u00echn\u1ea5htthoi. H\u0110TK\u00edPnh5ch\u1ea5t 5 a) H\u00ecnh thoi c\u00f3 l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh kh\u00f4ng? b) Cho h\u00ecnh thoi ABCD c\u00f3 O l\u00e0 giao \u0111i\u1ec3m c\u1ee7a hai \u0111\u01b0\u1eddng ch\u00e9o (H\u00ecnh 13b). C\u00e1c tam gi\u00e1c OAB, OCB, OCD, OAD c\u00f3 b\u1eb1ng nhau kh\u00f4ng? BB A CA O C a) D b) D H\u00ecnh 13 vho\u00e0\u1eb7\u2013tc\u00ednMshHbo\u1ee5\u00ecc\u00ecnscnh\u00e1hh\u1ea5\u0111nht\u00edhtc\u00e0\u0111hnhc\u1eb7oh\u00e1cic.cctu\u0309r\u0169ta\u01b0annmHgg\u0110lg\u00e0ciK\u1ee7\u00e1hacP\u00ecnhvh4\u00ecun,b\u00f4h5\u00ecnn:tghhGobhii\u00fa\u1eb1\u00e0qnpnughHannSvh\u00eainac\u1ec7ucoh\u0301.q\u00eccnu\u01a1hahnth\u00f4\u0323soi\u00e1ittrcc\u1ea3\u00f3\u00e1i c\u0111n\u1ea7\u00f4gyhl\u01b0i\u0111\u1ec7\u1edb\u1ee7micm,\u00e1tc\u1eafhtta\u00ed\u0309con\u00e1hloucc\u00e2h\u0323\u00f3n\u1ea5tdvc\u1ea1\u1ec1\u1ee7n\u0111ag\u1ecbmnh\u00ech\u1ed9ntnhhgt\u00echhno\u0129hai \u2013 G\u0110\u01a1\u0323i\u1ecbny\u0301htl\u00f4\u00ed\u0309 ch\u01b0\u0301c H\u0110KP 4, 5: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. 100 Trong h\u00ecnh thoi:","a) T\u00ednh AB khi bi\u1ebft OA = 4 cm v\u00e0 OB = 3 cm. A O C b) T\u00ednh B\uf0b7AD khi bi\u1ebft B\uf0b7AO = 32o. Gi\u1ea3i Tha\u1ef1)cDho\u00e0hnahi 3\u0111.\u01b0C\u1eddnhgo chh\u00ecn\u00e9oh cth\u1ee7oaihM\u00ecnNh PthQoic\u00f3vuI\u00f4ln\u00e0gggia\u00f3oc \u0111i\u1ec3m c\u1ee7a hai \u0111\u01b0\u1eddnDg ch\u00e9o. H\u00ecnh 14 a)vT\u1edb\u00edinhnhMauP knh\u00eani b\u00e1i\u1ebfpt dM\u1ee5Nng=\u01111\u1ecbn0hdml\u00ed ,PIyNth=ag6ordemv. \u00e0o b)tTam\u00ednhgi\u00e1I\uf0b7cMONABkhviub\u00f4in\u1ebfgt Mt\uf0b7\u1ea1iNOPta=c1\u00f32:8o. M\u1ee5AcB\u0111\u00edch Oc\u1ee7Aa2T\u000ehO\u1ef1cBh2 \u00e0nh 432: H\u000e 3S2th\u01b0\u03235c (hcam\u0300n)h. nh\u1eadn bi\u1ebft h\u00ecnh thoi \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t. V\u1eadbn) Dd\u1ee5onhgai4\u0111.\u01b0T\u1eddn\u00ednghch\u0111\u00e9\u1ed9odl\u00e0\u00e0ic\u00e1cc\u1ea1n\u0111h\u01b0\u1eddcn\u1ee7ga pch\u00e1\u00e2cnkghi\u00e1ucyc\u00e1\u1ee7oa ch\u00e1\u00ecnchg\u00f3tchoci\u1ee7ac\u00f3h\u00ec\u0111n\u1ed9h tdh\u00e0oii hna\u00eani \u0111ta\u01b0c\u1edd\u00f3n:g ch\u00e9o l\u1ea7n l\u01b0\u1ee3t l\u00e0=B\uf0b73,A2Dcm 2v=B\u00e0\uf0b7A2,O4 cm6.4o. Th\u1ef1c h\u00e0nh 3. Cho h\u00ecnh thoi MNPQ c\u00f3 I l\u00e0 giao \u0111i\u1ec3m c\u1ee7a hai \u0111\u01b0\u1eddng ch\u00e9o. a) T\u00ednh MP khi bi\u1ebft MN = 10 dm, IN = 6 dm. b) T\u00ednh I\uf0b7MN khi bi\u1ebft M\uf0b7NP = 128o. V\u1eadn d\u1ee5ng 4. T\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh c\u1ee7a c\u00e1c khuy \u00e1o h\u00ecnh thoi c\u00f3 \u0111\u1ed9 d\u00e0i hai \u0111\u01b0\u1eddng ch\u00e9o l\u1ea7n l\u01b0\u1ee3t l\u00e0 3,2 cm v\u00e0 2,4 cm. H\u00ecnh 15 \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 4: HS c\u00f3 c\u01a1 h\u1ed9i v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1eeba h\u1ecdc v\u00e0o th\u1ef1c t\u1ebf, nh\u1eadn bi\u1ebft c\u00e1c h\u00ecnh thoi c\u0169ng nh\u01b0 s\u1eed d\u1ee5ng t\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh thoi trong t\u00ednh to\u00e1n. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c V\u1eadn d\u1ee5ng 4: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. GV c\u00f3 th\u1ec3 t\u1ed5 ch\u1ee9c cho HS l\u00e0m vi\u1ec7c nh\u00f3m ho\u1eb7c thuy\u1ebft tr\u00ecnh. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: 2 cm. D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft H\u00ecnh 15 H\u0110DK\u1ea5uP h6i\u1ec7u nh\u1eadn bi\u1ebft 6 Cho ABCD l\u00e0 m\u1ed9t h\u00ecnh b\u00ecnh h\u00e0nh. Gia\u0309i th\u00edch t\u1ea1i sao t\u1ee9 gi\u00e1c A B ABCD c\u00f3 b\u1ed1n c\u1ea1nh b\u1eb1ng nhau trong m\u1ed7i tr\u01b0\u1eddng h\u1ee3p sau: Tr\u01b0\u1eddng h\u1ee3p 1: AB = AD. OC Tr\u01b0\u1eddng h\u1ee3p 2: AC vu\u00f4ng g\u00f3c v\u1edbi BD. Tr\u01b0\u1eddng h\u1ee3p 3: AC l\u00e0 \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c g\u00f3c BAD. D Tr\u01b0\u1eddng h\u1ee3p 4: BD l\u00e0 \u0111\u01b0\u1eddng ph\u00e2n gi\u00e1c g\u00f3c ABC. H\u00ecnh 16 78M\u1ee5c \u0111\u00edch c\u1ee7a H\u0110KP 6: Gi\u00fap HS x\u00e2y d\u1ef1ng \u0111\u01b0\u1ee3c c\u00e1c d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft c\u1ee7a h\u00ecnh thoi. V\u1eadn d\u1ee5ng 5. M\u1ed9t hoa v\u0103n trang tr\u00ed \u0111\u01b0\u1ee3c gh\u00e9p b\u1edfi ba h\u00ecnh t\u1ee9 gi\u00e1c c\u00f3 \u0111\u1ed9 d\u00e0i m\u1ed7i c\u1ea1nh \u0111\u1ec1u b\u1eb1ng 2 cm (Hi\u0300nh 18). G\u1ecdi t\u00ean c\u00e1c t\u1ee9 gi\u00e1c n\u00e0y v\u00e0 t\u00ednh chu vi c\u1ee7a hoa v\u0103n. H\u00ecnh 18 101","M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 5: T\u1ea1o c\u01a1 h\u1ed9i \u0111\u1ec3 HS nh\u1eadn bi\u1ebft h\u00ecnh thoi th\u00f4ng qua quan s\u00e1t c\u00e1c t\u1ee9 gi\u00e1c c\u00f3 b\u1ed1n c\u1ea1nh b\u1eb1ng nhau \u1edf c\u00e1c hoa v\u0103n trang tr\u00ed, logo trong th\u1ef1c t\u1ebf. V\u1eadn d\u1ee5ng 6. M\u1ed9t t\u1ee9 gi\u00e1c c\u00f3 chu vi l\u00e0 52 cm v\u00e0 m\u1ed9t \u0111\u01b0\u1eddng ch\u00e9o l\u00e0 24 cm. T\u00ecm \u0111\u1ed9 d\u00e0i c\u1ee7a m\u1ed7i c\u1ea1nh v\u00e0 \u0111\u01b0\u1eddng ch\u00e9o c\u00f2n l\u1ea1i n\u1ebfu bi\u1ebft hai \u0111\u01b0\u1eddng ch\u00e9o vu\u00f4ng g\u00f3c t\u1ea1i trung \u0111i\u1ec3m c\u1ee7a m\u1ed7i \u0111\u01b0\u1eddng. M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 6: HS c\u00f3 c\u01a1 h\u1ed9i v\u1eadn d\u1ee5ng c\u00e1c t\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh thoi khi t\u00ednh to\u00e1n c\u00e1c \u0111\u1ed9 d\u00e0i trong th\u1ef1c ti\u1ec5n. IV. H\u01b0\u1edbng d\u1eabn gi\u1ea3i c\u00e1c b\u00e0i t\u1eadp 1. a) Ta \u0111\u00e3 c\u00f3 AB \/\/ CD (hai g\u00f3c so le trong b\u1eb1ng nhau A\uf0b51 = C\uf0b51 ). V\u1eady c\u1ea7n th\u00eam \u0111i\u1ec1u ki\u1ec7n AB = CD. b) Ta \u0111\u00e3 c\u00f3 HE = GF. V\u1eady c\u1ea7n th\u00eam \u0111i\u1ec1u ki\u1ec7n HE \/\/ GF. c) Ta \u0111\u00e3 c\u00f3 OQ = ON. V\u1eady c\u1ea7n th\u00eam \u0111i\u1ec1u ki\u1ec7n OP = OM. d) Ta \u0111\u00e3 c\u00f3 S\uf024 = U\uf0b5. V\u1eady c\u1ea7n th\u00eam \u0111i\u1ec1u ki\u1ec7n V\uf0b5 = T\uf0b5. 2. a) Ta c\u00f3 AH \/\/ CK (v\u00ec c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi BD). Hai tam gi\u00e1c vu\u00f4ng AHD v\u00e0 CKB b\u1eb1ng nhau (c\u1ea1nh huy\u1ec1n v\u00e0 m\u1ed9t g\u00f3c nh\u1ecdn). Suy ra AH = CK. T\u1ee9 gi\u00e1c AHCK c\u00f3 AH = CK v\u00e0 AH \/\/ CK n\u00ean AHCK l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. b) Ta c\u00f3 AHCK l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh, n\u00ean trung \u0111i\u1ec3m I c\u1ee7a HK c\u0169ng l\u00e0 trung \u0111i\u1ec3m c\u1ee7a AC. Ta c\u00f3 ABCD l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh, n\u00ean trung \u0111i\u1ec3m I c\u1ee7a AC c\u0169ng l\u00e0 trung \u0111i\u1ec3m c\u1ee7a BD. V\u1eady IB = ID. 3. a) Ta c\u00f3 ABCD l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh, suy ra AD \/\/ BC AE D v\u00e0 AD = BC. Do \u0111\u00f3 ED \/\/ BF v\u00e0 ED = BF. O B Suy ra t\u1ee9 gi\u00e1c EBFD l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. FC b) Ta c\u00f3 O l\u00e0 giao \u0111i\u1ec3m c\u1ee7a hai \u0111\u01b0\u1eddng ch\u00e9o AC v\u00e0 AE BD c\u1ee7a h\u00ecnh b\u00ecnh h\u00e0nh ABCD, suy ra O l\u00e0 trung \u0111i\u1ec3m c\u1ee7a BD. B Do EBFD l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh n\u00ean trung \u0111i\u1ec3m O c\u1ee7a BD c\u0169ng l\u00e0 trung \u0111i\u1ec3m c\u1ee7a EF. V\u1eady E, O, F th\u1eb3ng h\u00e0ng. 4. a) Ta c\u00f3 ABCD l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh, suy ra A\uf0b7BC = A\uf0b7DC v\u00e0 AB \/\/ CD. D O Suy ra F\uf0b7DE = A\uf0b7=ED A\uf0b7=DC A\uf0b7BC (g\u00f3c so le trong). FC 22 Suy ra F\uf0b7BE = A\uf0b7ED = A\uf0b7BC . V\u1eady DE \/\/ BF (c\u00f3 c\u1eb7p 2 g\u00f3c \u0111\u1ed3ng v\u1ecb b\u1eb1ng nhau). b) Ta c\u00f3 EB \/\/ DF v\u00e0 DE \/\/ BF, suy ra t\u1ee9 gi\u00e1c DEBF l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh.\t 102","5. a) Ta c\u00f3 ABCD l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh n\u00ean AB \/\/ CD v\u00e0 AD AB = CD, suy ra AI \/\/ CK v\u00e0 AI = CK. Do \u0111\u00f3 t\u1ee9 gi\u00e1c AKCI l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh, suy ra AK \/\/ CI hay AE \/\/ FI. E O V\u1eady t\u1ee9 gi\u00e1c AEFI l\u00e0 h\u00ecnh thang. I K F BC b) Ta c\u00f3 E l\u00e0 tr\u1ecdng t\u00e2m tam gi\u00e1c ADC, suy ra=DE 2=DO 1 DB (v\u00ec DO = 1 DB) v\u00e0 33 2 EO = 1 DO = 1 DB. 36 Ta c\u0169ng c\u00f3 F l\u00e0 tr\u1ecdng t\u00e2m tam gi\u00e1c ABC, suy ra BF = 2 BO = 1 DB v\u00e0 FO = 1 BO = 1 DB. 33 36 Suy ra DE = EF = FB = 1 DB (EF = EO + FO = 1 DB + 1 DB = 1 DB). 3 663 6.\t Ta c\u00f3 AB = CD, AD = BC. Suy ra ABCD l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh, suy ra AB \/\/ CD v\u00e0 AD \/\/ BC. Ta c\u00f3 A\uf0b5 l\u00e0 g\u00f3c vu\u00f4ng, suy ra D\uf0b5, C\uf0b5, B\uf0b5 l\u00e0 c\u00e1c g\u00f3c vu\u00f4ng. B\u1ed1n tam gi\u00e1c vu\u00f4ng AEH, BEF, CGF, DGH b\u1eb1ng nhau (c.g.c), suy ra HE = FE = FG = GH. V\u1eady t\u1ee9 gi\u00e1c EFGH l\u00e0 h\u00ecnh thoi. 7. \tT\u1ee9 gi\u00e1c ABCD l\u00e0 h\u00ecnh thoi n\u00ean c\u00f3 AC v\u00e0 BD vu\u00f4ng g\u00f3c t\u1ea1i trung \u0111i\u1ec3m O c\u1ee7a m\u1ed7i \u0111\u01b0\u1eddng, suy ra AB = AO2 + BO2 = 32 + 42 = 5 (cm). 8. \ta) Ta c\u00f3 BC l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a AD, suy ra BD = BA, CD = CA. Ta l\u1ea1i c\u00f3 BA = CA, suy ra BA = CA = BD = CD. OA V\u1eady t\u1ee9 gi\u00e1c ABDC l\u00e0 h\u00ecnh thoi. b) Ta c\u00f3 E l\u00e0 trung \u0111i\u1ec3m c\u1ee7a AB v\u00e0 MO, EF suy ra t\u1ee9 gi\u00e1c AOBM l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. Ta c\u00f3 AM \/\/ OB v\u00e0 AM \u22a5 BM, suy ra MB \u22a5 OB. BM C V\u1eady hai tam gi\u00e1c vu\u00f4ng AOB v\u00e0 MBO b\u1eb1ng nhau. c) Ta c\u00f3 \u2206AOB = \u2206MBO, suy ra AB = MO, suy ra EA = EM. T\u01b0\u01a1ng t\u1ef1 ta c\u00f3 FM = AF. Ta c\u00f3 tam gi\u00e1c ABC c\u00e2n t\u1ea1i A, suy ra AE = AF. V\u1eady t\u1ee9 gi\u00e1c AEMF c\u00f3 b\u1ed1n c\u1ea1nh b\u1eb1ng nhau n\u00ean l\u00e0 h\u00ecnh thoi. D 9. \tC\u00e1c h\u00ecnh b\u00ecnh h\u00e0nh l\u00e0 ABCD, AQGF. C\u00e1c h\u00ecnh thang l\u00e0 AECD, AFMD, AFGP, AFMN, PDMG, QDMG. A QP N D F GM BE C 103","B\u00e0i 5. H\u00ccNH CH\u1eee NH\u1eacT \u2013 H\u00ccNH VU\u00d4NG I. M\u1ee5c ti\u00eau 1. Y\u00eau c\u1ea7u c\u00e2\u0300n \u0111a\u0323t: \u2013 Gi\u1ea3i th\u00edch \u0111\u01b0\u1ee3c t\u00ednh ch\u1ea5t v\u1ec1 hai \u0111\u01b0\u1eddng ch\u00e9o c\u1ee7a h\u00ecnh ch\u1eef nh\u1eadt. \u2013 Nh\u1eadn bi\u1ebft \u0111\u01b0\u1ee3c d\u1ea5u hi\u1ec7u \u0111\u1ec3 m\u1ed9t h\u00ecnh b\u00ecnh h\u00e0nh l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt (v\u00ed d\u1ee5: h\u00ecnh b\u00ecnh h\u00e0nh c\u00f3 hai \u0111\u01b0\u1eddng ch\u00e9o b\u1eb1ng nhau l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt). \u2013 Gi\u1ea3i th\u00edch \u0111\u01b0\u1ee3c t\u00ednh ch\u1ea5t v\u1ec1 hai \u0111\u01b0\u1eddng ch\u00e9o c\u1ee7a h\u00ecnh vu\u00f4ng. \u2013 Nh\u1eadn bi\u1ebft \u0111\u01b0\u1ee3c d\u1ea5u hi\u1ec7u \u0111\u1ec3 m\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt l\u00e0 h\u00ecnh vu\u00f4ng (v\u00ed d\u1ee5: h\u00ecnh ch\u1eef nh\u1eadt c\u00f3 hai \u0111\u01b0\u1eddng ch\u00e9o vu\u00f4ng g\u00f3c v\u1edbi nhau l\u00e0 h\u00ecnh vu\u00f4ng). 2. N\u0103ng l\u1ef1c ch\u00fa tr\u1ecdng: t\u01b0 duy v\u00e0 l\u1eadp lu\u1eadn to\u00e1n h\u1ecdc, m\u00f4 h\u00ecnh ho\u00e1 to\u00e1n h\u1ecdc, giao ti\u00ea\u0301p toa\u0301n ho\u0323c. 3. T\u00edch h\u1ee3p: To\u00e1n h\u1ecdc v\u00e0 cu\u1ed9c s\u1ed1ng, t\u00edch h\u1ee3p c\u00e1c m\u00f4n h\u1ecdc kh\u00e1c. II. M\u1ed9t s\u1ed1 ch\u00fa \u00fd 1. GV c\u1ea7n \u00f4n t\u1eadp v\u00e0 c\u1ee7ng c\u1ed1 c\u00e1c ki\u1ebfn th\u1ee9c v\u1ec1 h\u00ecnh thoi, h\u00ecnh b\u00ecnh h\u00e0nh \u0111\u1ec3 gi\u00fap HS kh\u00e1m ph\u00e1 c\u00e1c t\u00ednh ch\u1ea5t c\u1ee7a h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 h\u00ecnh vu\u00f4ng. 2. GV s\u1eed d\u1ee5ng c\u00e1c h\u00ecnh \u1ea3nh quen thu\u1ed9c trong th\u1ef1c t\u1ebf \u0111\u1ec3 gi\u00fap HS nh\u1eadn bi\u1ebft h\u00ecnh ch\u1eef nh\u1eadt v\u00e0 h\u00ecnh vu\u00f4ng. III. G\u1ee3i \u00fd c\u00e1c ho\u1ea1t \u0111\u1ed9ng c\u1ee5 th\u1ec3 H\u0110K\u0110 B\u1ec1 m\u1eb7t m\u1ed7i vi\u00ean g\u1ea1ch trong h\u00ecnh b\u1ee9c t\u01b0\u1eddng c\u00f3 d\u1ea1ng l\u00e0 m\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt \u0111\u01b0\u1ee3c minh ho\u1ea1 b\u1edfi h\u00ecnh b\u00ean. H\u00e3y v\u1ebd h\u00ecnh t\u1ee9 gi\u00e1c ABCD m\u00f4 ph\u1ecfng b\u1ec1 m\u1eb7t m\u1ed9t vi\u00ean g\u1ea1ch v\u00e0o v\u1edf c\u1ee7a em. \u2013 M\u1ee5c \u0111\u00edch cu\u0309a H\u0110K\u0110: Gi\u00fap HS co\u0301 c\u01a1 h\u00f4\u0323i tr\u1ea3i nghi\u1ec7m, tha\u0309o lu\u00e2\u0323n v\u1ec1 c\u00e1c h\u00ecnh ch\u1eef nh\u1eadt trong th\u1ef1c t\u1ebf h\u1eb1ng ng\u00e0y. C\u00e1ch \u0111\u1eb7t v\u1ea5n \u0111\u1ec1 n\u00e0y c\u00f3 kh\u1ea3 n\u0103ng thu h\u00fat HS v\u00e0o b\u00e0i h\u1ecdc. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110K\u0110: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV s\u1eed d\u1ee5ng c\u01a1 h\u1ed9i \u0111\u1ec3 gi\u1edbi thi\u1ec7u b\u00e0i. L\u01b0u \u00fd: GV c\u00f3 th\u1ec3 t\u00ecm ki\u1ebfm c\u00e1c h\u00ecnh \u1ea3nh s\u00e1ng t\u1ea1o h\u01a1n c\u00f3 li\u00ean quan \u0111\u1ebfn \u0111\u1ecba ph\u01b0\u01a1ng, tr\u01b0\u1eddng h\u1ecdc \u0111\u1ec3 t\u1ea1o s\u1ef1 ch\u00fa \u00fd v\u00e0 th\u00edch th\u00fa cho HS. 104","1. H\u00ecnh ch\u1eef nh\u1eadt \u0110\u1ecbnh ngh\u0129a H\u0110KP 1 T\u00ednh ch\u1ea5t H\u0110KP 2 \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a H\u0110KP 1, 2: Gi\u00fap HS co\u0301 c\u01a1 h\u00f4\u0323i tr\u1ea3i nghi\u1ec7m, tha\u0309o lu\u00e2\u0323n v\u1ec1 \u0111\u1ecbnh ngh\u0129a, t\u00ednh ch\u1ea5t \u0111\u1eb7c tr\u01b0ng c\u1ee7a h\u00ecnh ch\u1eef nh\u1eadt qua vi\u1ec7c so s\u00e1nh c\u00e1c tam gi\u00e1c b\u1eb1ng nhau. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110KP 1, 2: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. Th\u1ef1c h\u00e0nh 1. Cho bi\u1ebft a, b, d l\u1ea7n l\u01b0\u1ee3t l\u00e0 \u0111\u1ed9 d\u00e0i c\u00e1c c\u1ea1nh v\u00e0 \u0111\u01b0\u1eddng ch\u00e9o c\u1ee7a m\u1ed9t h\u00ecnh ch\u1eef nh\u1eadt. Thay d\u1ea5u ? trong b\u1ea3ng sau b\u1eb1ng gi\u00e1 tr\u1ecb th\u00edch h\u1ee3p. a 8 15 ? b6?5 d ? 24 13 \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a Th\u1ef1c h\u00e0nh 1: HS th\u1ef1c h\u00e0nh t\u00ednh \u0111\u1ed9 d\u00e0i c\u1ea1nh, \u0111\u01b0\u1eddng ch\u00e9o c\u1ee7a h\u00ecnh ch\u1eef nh\u1eadt \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t. \u2013 G\u1ee3i \u00fd t\u1ed5 ch\u1ee9c Th\u1ef1c h\u00e0nh 1: GV t\u1ed5 ch\u1ee9c ho\u1ea1t \u0111\u1ed9ng nh\u00f3m ho\u1eb7c \u0111i\u1ec1n k\u1ebft qu\u1ea3 v\u00e0o phi\u1ebfu h\u1ecdc t\u1eadp. V\u1eadn d\u1ee5ng 1. T\u00ecm b\u1ed1n v\u00ed d\u1ee5 v\u1ec1 h\u00ecnh ch\u1eef nh\u1eadt trong th\u1ef1c t\u1ebf. \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 1: T\u1ea1o c\u01a1 h\u1ed9i \u0111\u1ec3 HS r\u00e8n luy\u1ec7n kh\u1ea3 n\u0103ng quan s\u00e1t, nh\u1eadn bi\u1ebft h\u00ecnh ch\u1eef nh\u1eadt trong th\u1ef1c t\u1ebf. \u2013 G\u1ee3i \u00fd t\u1ed5 ch\u1ee9c V\u1eadn d\u1ee5ng 1: T\u1ed5 ch\u1ee9c thuy\u1ebft tr\u00ecnh theo nh\u00f3m v\u1edbi trang tr\u00ecnh chi\u1ebfu minh ho\u1ea1. 105","b6?5 d ? 24 13 D\u1ea5uV\u1eadhni\u1ec7du\u1ee5nnhg\u1ead1n. Tbi\u00ecm\u1ebft b\u1ed1n v\u00ed d\u1ee5 v\u1ec1 h\u00ecnh ch\u1eef nh\u1eadt trong th\u1ef1c t\u1ebf. H\u0110DK\u1ea5Pu3hi\u1ec7u nh\u1eadn bi\u1ebft 3 Cho h\u00ecnh b\u00ecnh h\u00e0nh ABCD c\u00f3 O l\u00e0 giao \u0111i\u1ec3m cu\u0309a hai \u0111\u01b0\u1eddng ch\u00e9o. A Gi\u1ea3i th\u00edch c\u00e1c kh\u0103\u0309ng \u0111\u1ecbnh sau: D C a) N\u1ebfu B\uf0b7AD l\u00e0 go\u0301c vu\u00f4ng th\u00ec A\uf0b7DC v\u00e0 A\uf0b7BC c\u0169ng l\u00e0 g\u00f3c vu\u00f4ng. O b) N\u1ebfu AC = BD th\u00ec B\uf0b7AD vu\u00f4ng. B Hi\u0300nh 4 \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a H\u0110KP 3: Gi\u00fap HS co\u0301 c\u01a1 h\u00f4\u0323i tr\u1ea3i nghi\u1ec7m, tha\u0309o lu\u00e2\u0323n v\u1ec1 d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebf8t3 c\u1ee7a h\u00ecnh ch\u1eef nh\u1eadt qua vi\u1ec7c so s\u00e1nh c\u00e1c tam gi\u00e1c b\u1eb1ng nhau. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110KP 3: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. Th\u1ef1c h\u00e0nh 2. Ch\u1ec9 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng compa, h\u00e3y ki\u1ec3m tra Hi\u0300nh 6 t\u1ee9 gi\u00e1c \u1edf H\u00ecnh 6 c\u00f3 ph\u1ea3i l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt hay kh\u00f4ng. M\u1ee5c \u0111\u00edch c\u1ee7a Th\u1ef1c h\u00e0nh 2: HS th\u01b0\u0323c ha\u0300nh nh\u1eadn bi\u1ebft h\u00ecnh ch\u1eef nh\u1eadt \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t. V\u1eadn d\u1ee5ng 2. a) H\u00e3y s\u1eed d\u1ee5ng \u00eake sao cho ch\u1ec9 sau ba l\u1ea7n \u0111o ta c\u00f3 th\u1ec3 x\u00e1c \u0111\u1ecbnh khung c\u1eeda s\u1ed5 \u1edf H\u00ecnh 7 c\u00f3 ph\u1ea3i l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt hay kh\u00f4ng. b) H\u00e3y s\u1eed d\u1ee5ng m\u1ed9t cu\u1ed9n d\u00e2y, x\u00e1c \u0111\u1ecbnh khung c\u1eeda s\u1ed5 trong H\u00ecnh 7 c\u00f3 l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt hay kh\u00f4ng. \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 2: HS c\u00f3 c\u01a1 h\u1ed9i v\u1eadn d\u1ee5ng Hi\u0300nh 7 ki\u1ebfn th\u1ee9c v\u1eeba h\u1ecdc v\u00e0o th\u1ef1c t\u1ebf nh\u1eadn bi\u1ebft c\u00e1c khung c\u1eeda h\u00ecnh ch\u1eef nh\u1eadt b\u1eb1ng c\u00e1ch ch\u1ec9 s\u1eed d\u1ee5ng \u00eake ho\u1eb7c th\u01b0\u1edbc d\u00e2y. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c V\u1eadn d\u1ee5ng 2: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. GV c\u00f3 th\u1ec3 t\u1ed5 ch\u1ee9c cho HS l\u00e0m vi\u1ec7c nh\u00f3m ho\u1eb7c thuy\u1ebft tr\u00ecnh. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: a) N\u1ebfu d\u00f9ng \u00eake \u0111o \u0111\u01b0\u1ee3c ba g\u00f3c c\u1ee7a khung c\u1eeda l\u00e0 g\u00f3c vu\u00f4ng th\u00ec n\u00f3 l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt. b) N\u1ebfu d\u00f9ng cu\u1ed9n d\u00e2y \u0111o \u0111\u01b0\u1ee3c hai \u0111\u01b0\u1eddng ch\u00e9o b\u1eb1ng nhau v\u00e0 c\u1eaft nhau t\u1ea1i trung \u0111i\u1ec3m m\u1ed7i \u0111\u01b0\u1eddng th\u00ec khung c\u1eeda l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt. 2. H\u00ecnh vu\u00f4ng \u0110\u1ecbnh ngh\u0129a H\u0110KP 4 106","T\u00ednh ch\u1ea5t H\u0110KP 5 \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a H\u0110KP 4, 5: Gi\u00fap HS co\u0301 c\u01a1 h\u00f4\u0323i tr\u1ea3i nghi\u1ec7m, tha\u0309o lu\u00e2\u0323n v\u1ec1 \u0111\u1ecbnh ngh\u0129a, t\u00ednh ch\u1ea5t \u0111\u1eb7c tr\u01b0ng c\u1ee7a h\u00ecnh vu\u00f4ng. \u2013 G\u1ee3i \u00fd t\u1ed5 ch\u1ee9c H\u0110KP 4, 5: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. Th\u1ef1c h\u00e0nh 3. T\u00ecm h\u00ecnh vu\u00f4ng trong hai h\u00ecnh sau: NR MO PU S a) Q H\u00ecnh 10 T b) M\u1ee5c \u0111\u00edch c\u1ee7a Th\u1ef1c h\u00e0nh 3: HS th\u1ef1c h\u00e0nh nh\u1eadn bi\u1ebft h\u00ecnh vu\u00f4ng th\u00f4ng qua s\u1eed d\u1ee5ng \u0111\u1ecbnh ngh\u0129a \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t. V\u1eadn d\u1ee5ng 3. T\u00ecm b\u1ed1n v\u00ed d\u1ee5 v\u1ec1 h\u00ecnh vu\u00f4ng trong th\u1ef1c t\u1ebf. \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 3: T\u1ea1o c\u01a1 h\u1ed9i \u0111\u1ec3 HS r\u00e8n luy\u1ec7n kh\u1ea3 n\u0103ng quan s\u00e1t, nh\u1eadn bi\u1ebft h\u00ecnh vu\u00f4ng trong th\u1ef1c t\u1ebf. \u2013 G\u1ee3i \u00fd t\u1ed5 ch\u1ee9c V\u1eadn d\u1ee5ng 3: T\u1ed5 ch\u1ee9c thuy\u1ebft tr\u00ecnh theo nh\u00f3m v\u1edbi trang tr\u00ecnh chi\u1ebfu minh ho\u1ea1. D\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft H\u0110KP 6, 7 107","\u2013 M\u1ee5c \u0111\u00edch c\u1ee7a H\u0110KP 6, 7: Gi\u00fap HS co\u0301 c\u01a1 h\u00f4\u0323i tr\u1ea3i nghi\u1ec7m, tha\u0309o lu\u00e2\u0323n v\u1ec1 d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft c\u1ee7a h\u00ecnh vu\u00f4ng qua vi\u1ec7c b\u1ed5 sung th\u00eam t\u00ednh ch\u1ea5t cho m\u1ed9t h\u00ecnh thoi ho\u1eb7c h\u00ecnh ch\u1eef nh\u1eadt. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110KP 6, 7: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. Th\u1ef1c h\u00e0nh 4. Trong H\u00ecnh 12, cho bi\u1ebft ABCD l\u00e0 m\u1ed9t AE B h\u00ecnh vu\u00f4ng. Ch\u1ee9ng minh r\u1eb1ng: a) T\u1ee9 gi\u00e1c EFGH c\u00f3 ba g\u00f3c vu\u00f4ng; F b) HE = HG; H c) T\u1ee9 gi\u00e1c EFGH l\u00e0 m\u1ed9t h\u00ecnh vu\u00f4ng. \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a Th\u1ef1c h\u00e0nh 4: HS th\u01b0\u0323c ha\u0300nh s\u1eed d\u1ee5ng D GC d\u1ea5u hi\u1ec7u nh\u1eadn bi\u1ebft h\u00ecnh vu\u00f4ng \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo Hi\u0300nh 12 y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c Th\u1ef1c h\u00e0nh 4: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. V\u1eadn d\u1ee5ng 4. B\u1ea1n Nam ki\u1ec3m tra m\u1eb7t k\u00ednh c\u1ee7a chi\u1ebfc \u0111\u1ed3ng h\u1ed3 \u0111\u1ec3 b\u00e0n va\u0300 nh\u1eadn th\u1ea5y c\u00f3 ba g\u00f3c vu\u00f4ng v\u00e0 hai c\u1ea1nh k\u1ec1 b\u1eb1ng nhau (H\u00ecnh 13). H\u00e3y cho bi\u1ebft m\u1eb7t k\u00ednh \u0111\u1ed3ng h\u1ed3 c\u00f3 h\u00ecnh g\u00ec. 11 12 1 10 2 \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 4: HS c\u00f3 c\u01a1 h\u1ed9i v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1eeba h\u1ecdc v\u00e0o th\u1ef1c t\u1ebf, nh\u1eadn bi\u1ebft c\u00e1c h\u00ecnh \u1ea3nh th\u1ef1c t\u1ebf c\u00f3 d\u1ea1ng 93 h\u00ecnh vu\u00f4ng th\u00f4ng qua vi\u1ec7c \u0111o \u0111\u1ea1c b\u1eb1ng th\u01b0\u1edbc v\u00e0 \u00eake. 84 765 \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c V\u1eadn d\u1ee5ng 4: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u c\u1ee7a ho\u1ea1t \u0111\u1ed9ng Hi\u0300nh 13 v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: H\u00ecnh vu\u00f4ng. IV. H\u01b0\u1edbng d\u1eabn gi\u1ea3i c\u00e1c b\u00e0i t\u1eadp 1. Trong tam gi\u00e1c vu\u00f4ng ABC, ta c\u00f3 BC = AB2 + AC2 = 62 + 82 = 10 (cm). \u0110\u01b0\u1eddng trung tuy\u1ebfn AM \u1ee9ng v\u1edbi c\u1ea1nh huy\u1ec1n BC, suy ra x = AM = BC = 5 (cm). 2 2. V\u1ebd \u0111i\u1ec3m P sao cho H l\u00e0 trung \u0111i\u1ec3m c\u1ee7a MP. T\u1ee9 gi\u00e1c MNPQ c\u00f3 hai \u0111\u01b0\u1eddng ch\u00e9o b\u1eb1ng nhau v\u00e0 c\u00f3 H l\u00e0 trung \u0111i\u1ec3m c\u1ee7a m\u1ed7i \u0111\u01b0\u1eddng, suy ra t\u1ee9 gi\u00e1c MNPQ l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt. M QH N P 108","3. \ta) T\u1ee9 gi\u00e1c AHCE c\u00f3 hai \u0111\u01b0\u1eddng ch\u00e9o AC v\u00e0 HE c\u1eaft nhau A K E t\u1ea1i trung \u0111i\u1ec3m c\u1ee7a m\u1ed7i \u0111\u01b0\u1eddng n\u00ean AHCE l\u00e0 h\u00ecnh b\u00ecnh G I N h\u00e0nh. Ta c\u00f3 AH \u22a5 HC, suy ra h\u00ecnh b\u00ecnh h\u00e0nh AHCE l\u00e0 C h\u00ecnh ch\u1eef nh\u1eadt. B HM C b) Ta c\u00f3 G v\u00e0 K l\u1ea7n l\u01b0\u1ee3t l\u00e0 tr\u1ecdng t\u00e2m c\u1ee7a tam gi\u00e1c AHC v\u00e0 AEC. Theo t\u00ednh ch\u1ea5t tr\u1ecdng t\u00e2m ta c\u00f3: HG = 2 HI = 1 HE v\u00e0 GI = 1 HI = 1 HE; 33 36 EK = 2 EI = 1 HE v\u00e0 KI = 1 EI = 1 HE.\t 33 36 Suy ra HG = EK = GK = 1 HE (GK = GI + KI = 1 HE).\t A E 33 F 4. a) X\u00e9t t\u1ee9 gi\u00e1c AEDF ta c\u00f3: AE \/\/ FD (AC \/\/ FD), DE \/\/ FA (DE \/\/ AB) n\u00ean AEDF l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. Ta c\u00f3 A\uf0b5 = 90o, suy ra h\u00ecnh b\u00ecnh h\u00e0nh AEDF l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt. b) Ta c\u00f3 \u2206BFD = \u2206DEC (c\u1ea1nh huy\u1ec1n v\u00e0 m\u1ed9t g\u00f3c nh\u1ecdn). B Suy ra BF = DE. D T\u1ee9 gi\u00e1c BFED c\u00f3 BF \/\/ DE v\u00e0 BF = DE n\u00ean BFED l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. 5. \tSau khi m\u1edf ph\u1ea7n gi\u1ea5y c\u1eaft ta \u0111\u01b0\u1ee3c t\u1ee9 gi\u00e1c NMN\u2032M\u2032 c\u00f3 b\u1ed1n c\u1ea1nh b\u1eb1ng nhau n\u00ean NMN\u2032M\u2032 l\u00e0 h\u00ecnh thoi. M\u1eb7t kh\u00e1c, hai \u0111\u01b0\u1eddng ch\u00e9o NN\u2032 v\u00e0 MM\u2032 b\u1eb1ng nhau, suy ra h\u00ecnh thoi NMN\u2032M\u2032 l\u00e0 h\u00ecnh vu\u00f4ng. N N M\u2032 O M M O N\u2032 109","B\u00c0I T\u1eacP CU\u1ed0I CH\u01af\u01a0NG 3 C\u00c2U H\u1eceI TR\u1eaeC NGHI\u1ec6M 1. D 2. A 3. C 4. A 5. A 6. C 7. A B\u00c0I T\u1eacP T\u1ef0 LU\u1eacN DM C 8.\t \t\t\t\t\t\t\t\t\t\t\t\t O F E AN B a) Ta c\u00f3 ABCD l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh, suy ra O l\u00e0 trung \u0111i\u1ec3m c\u1ee7a hai \u0111\u01b0\u1eddng ch\u00e9o AC v\u00e0 BD. Ta c\u00f3 CF = 1 2 CO, suy ra F l\u00e0 tr\u1ecdng t\u00e2m c\u1ee7a tam gi\u00e1c BCD. Do \u0111\u00f3 BM l\u00e0 \u0111\u01b0\u1eddng CA = 33 trung tuy\u1ebfn c\u1ee7a tam gi\u00e1c BCD hay M l\u00e0 trung \u0111i\u1ec3m c\u1ee7a CD. Ch\u1ee9ng minh t\u01b0\u01a1ng t\u1ef1, N l\u00e0 trung \u0111i\u1ec3m c\u1ee7a AB. b) Ta c\u00f3 OA = OC v\u00e0 AE = CF, suy ra OE = OF. Ta l\u1ea1i c\u00f3 DM \/\/ NB v\u00e0 DM = NB, suy ra t\u1ee9 gi\u00e1c DMBN l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. Suy ra O l\u00e0 trung \u0111i\u1ec3m c\u1ee7a MN. T\u1ee9 gi\u00e1c EMFN c\u00f3 hai \u0111\u01b0\u1eddng ch\u00e9o c\u1eaft nhau t\u1ea1i trung \u0111i\u1ec3m O, suy ra t\u1ee9 gi\u00e1c EMFN l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. 9. a) X\u00e9t \u2206AHB vu\u00f4ng t\u1ea1i H c\u00f3 HD l\u00e0 \u0111\u01b0\u1eddng trung tuy\u1ebfn E A \u1ee9ng v\u1edbi c\u1ea1nh huy\u1ec1n AB, suy ra HD = BD = AB . 1 2 ND Khi \u0111\u00f3 \u2206DHB c\u00e2n t\u1ea1i D, suy ra D\uf0b7BH = D\uf0b7HB. 1 Tam gi\u00e1c ABC c\u00e2n t\u1ea1i A, suy ra A\uf0b7CB = D\uf0b7BH. 2 M 1 Suy ra A\uf0b7CB = D\uf0b7HB. BH C Ta c\u00f3 A\uf0b7CB = D\uf0b7HB (hai g\u00f3c \u1edf v\u1ecb tr\u00ed \u0111\u1ed3ng v\u1ecb), do \u0111\u00f3 DH \/\/ AC. V\u1eady t\u1ee9 gi\u00e1c ADHC l\u00e0 h\u00ecnh thang. b) Tam gi\u00e1c ABC c\u00e2n t\u1ea1i A, c\u00f3 \u0111\u01b0\u1eddng trung tuy\u1ebfn AH n\u00ean AH c\u0169ng l\u00e0 \u0111\u01b0\u1eddng cao, suy ra AH \u22a5 BC. X\u00e9t t\u1ee9 gi\u00e1c AHBE, ta c\u00f3: DA = DB v\u00e0 DH = DE n\u00ean t\u1ee9 gi\u00e1c AHBE l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. M\u1eb7t kh\u00e1c, A\uf0b7HB = 90o n\u00ean h\u00ecnh b\u00ecnh h\u00e0nh AHBE l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt. c) X\u00e9t \u2206ADM v\u00e0 \u2206BDN, ta c\u00f3 D\uf0b51 = D\uf0b5 2 (\u0111\u1ed1i \u0111\u1ec9nh), A\uf0b51 = B\uf0b51 (so le trong), DA = DB. Suy ra \u2206ADM = \u2206BDN (g.c.g) n\u00ean DM = DN. T\u1ee9 gi\u00e1c AMBN c\u00f3 hai \u0111\u01b0\u1eddng ch\u00e9o c\u1eaft nhau t\u1ea1i trung \u0111i\u1ec3m c\u1ee7a m\u1ed7i \u0111\u01b0\u1eddng n\u00ean AMBN l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. 110","10. a) G\u1ecdi Q l\u00e0 \u0111i\u1ec3m \u0111\u1ed1i x\u1ee9ng c\u1ee7a N qua E. Ta c\u00f3 t\u1ee9 gi\u00e1c D A F BNCQ l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh, suy ra BQ \/\/ CN v\u00e0 BQ = CN. N Do \u0111\u00f3, BQ \/\/ AN v\u00e0 BQ = AN. Suy ra t\u1ee9 gi\u00e1c ANQB l\u00e0 M E h\u00ecnh b\u00ecnh h\u00e0nh, suy ra NQ \/\/ AB hay NE \/\/ AB. B Q C Ta l\u1ea1i c\u00f3 AB \u22a5 AC, suy ra NE \u22a5 AN. V\u1eady t\u1ee9 gi\u00e1c ANEB l\u00e0 h\u00ecnh thang vu\u00f4ng. b) Ch\u1ee9ng minh t\u01b0\u01a1ng t\u1ef1 c\u00e2u a) ta c\u00f3 ME \u22a5 AM. T\u1ee9 gi\u00e1c ANEM c\u00f3 ba g\u00f3c vu\u00f4ng n\u00ean ANEM l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt. c) T\u1ee9 gi\u00e1c BMFN c\u00f3 BN \/\/ MF v\u00e0 BM \/\/ NF n\u00ean BMFN l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh, suy ra NF = BM = AM = NE. T\u1ee9 gi\u00e1c AFCE c\u00f3 hai \u0111\u01b0\u1eddng ch\u00e9o vu\u00f4ng g\u00f3c t\u1ea1i trung \u0111i\u1ec3m m\u1ed7i \u0111\u01b0\u1eddng n\u00ean AFCE l\u00e0 h\u00ecnh thoi. d) T\u1ee9 gi\u00e1c AEBD c\u00f3 MA = MB v\u00e0 ME = MD n\u00ean AEBD l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. Suy ra AD \/\/ EB v\u00e0 AD = EB. Ta c\u00f3 AFCE l\u00e0 h\u00ecnh thoi n\u00ean AF \/\/ CE v\u00e0 AF = CE. M\u00e0 EB = EC, suy ra AF = AD. M\u1eb7t kh\u00e1c, AD \/\/ BC \/\/ AF n\u00ean A, D, F th\u1eb3ng h\u00e0ng. V\u1eady A l\u00e0 trung \u0111i\u1ec3m c\u1ee7a DF. 11. \t\t\t\t\t\t\t\t\t A E B I K DFC a) Ta c\u00f3 ABCD l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh n\u00ean AB \/\/ CD v\u00e0 AB = CD. Suy ra AE \/\/ CF v\u00e0 AE = CF, suy ra t\u1ee9 gi\u00e1c AECF l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. b) Ta c\u00f3 AE \/\/ DF v\u00e0 AE = DF, suy ra t\u1ee9 gi\u00e1c AEFD l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. M\u1eb7t kh\u00e1c AD = AE (AB = 2AD) n\u00ean h\u00ecnh b\u00ecnh h\u00e0nh AEFD l\u00e0 h\u00ecnh thoi. c) T\u1ee9 gi\u00e1c EBFD c\u00f3 EB \/\/ DF v\u00e0 EB = DF n\u00ean EBFD l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. Suy ra EI \/\/ FK. Trong h\u00ecnh thoi AEFD, ta c\u00f3 ED \u22a5 AF. Ta c\u00f3 EK \/\/ IF, EI \/\/ FK v\u00e0 IE \u22a5 IF. Suy ra t\u1ee9 gi\u00e1c EIFK l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt. d) T\u1ee9 gi\u00e1c EIFK l\u00e0 h\u00ecnh vu\u00f4ng khi IF = IE, suy ra AF = ED. Suy ra h\u00ecnh thoi AEFD l\u00e0 h\u00ecnh vu\u00f4ng hay D\uf0b7AE = 90o. V\u1eady ABCD l\u00e0 h\u00ecnh ch\u1eef nh\u1eadt. 111","12.\t\t\t\t\t\t\t\t\t\t A M D F E B NC a) Ta c\u00f3 MN \/\/ AB (v\u00ec c\u00f9ng vu\u00f4ng g\u00f3c v\u1edbi CE), suy ra MN \/\/ CD (v\u00ec AB \/\/ CD). X\u00e9t t\u1ee9 gi\u00e1c MNCD c\u00f3 MN \/\/ CD v\u00e0 NC \/\/ MD n\u00ean MNCD l\u00e0 h\u00ecnh b\u00ecnh h\u00e0nh. M\u1eb7t kh\u00e1c, CD = MD (v\u00ec CD = 1 AD). 2 V\u1eady h\u00ecnh b\u00ecnh h\u00e0nh MNCD l\u00e0 h\u00ecnh thoi. b) Ta c\u00f3 \u2206EBC vu\u00f4ng t\u1ea1i E v\u00e0 NC = NB, suy ra EN = 1 BC = NC. 2 Suy ra \u2206ENC c\u00e2n t\u1ea1i N. M\u00e0 NF l\u00e0 \u0111\u01b0\u1eddng cao n\u00ean NF c\u0169ng l\u00e0 \u0111\u01b0\u1eddng trung tr\u1ef1c c\u1ee7a \u2206ENC. Suy ra ME = MC hay \u2206MEC c\u00e2n t\u1ea1i M. c) Ta c\u00f3 A\uf0b7EM = E\uf0b7MN (g\u00f3c so le trong), E\uf0b7MN = N\uf0b7MC (\u2206EMC c\u00e2n t\u1ea1i M), N\uf0b7MC = M\uf0b7CD (g\u00f3c so le trong). Suy ra A\uf0b7EM = M\uf0b7CD. Ta l\u1ea1i c\u00f3 MDCN l\u00e0 h\u00ecnh thoi, suy ra N\uf0b7CD = 2 . M\uf0b7CD = 2 . A\uf0b7EM. Trong h\u00ecnh b\u00ecnh h\u00e0nh ABCD, ta c\u00f3 B\uf0b7AD = N\uf0b7CD. V\u1eady B\uf0b7AD = 2 A\uf0b7EM. 112","Ph\u1ea7n M\u1ed8T S\u1ed0 Y\u1ebeU T\u1ed0 TH\u1ed0NG K\u00ca V\u00c0 X\u00c1C SU\u1ea4T Ch\u01b0\u01a1ng 4 M\u1ed8T S\u1ed0 Y\u1ebeU T\u1ed0 TH\u1ed0NG K\u00ca A. M\u1ee4C TI\u00caU 1. N\u0103ng l\u01b0\u0323c chuy\u00ean m\u00f4n Thu th\u1eadp v\u00e0 t\u1ed5 ch\u1ee9c d\u1eef li\u1ec7u: Bi\u1ebft thu th\u1eadp, ph\u00e2n lo\u1ea1i, t\u1ed5 ch\u1ee9c d\u1eef li\u1ec7u theo c\u00e1c ti\u00eau ch\u00ed cho tr\u01b0\u1edbc. M\u00f4 t\u1ea3 v\u00e0 bi\u1ec3u di\u1ec5n d\u1eef li\u1ec7u tr\u00ean c\u00e1c b\u1ea3ng, bi\u1ec3u \u0111\u1ed3. Bi\u1ebft l\u1ef1a ch\u1ecdn c\u00e1c d\u1ea1ng bi\u1ec3u \u0111\u1ed3 ph\u00f9 h\u1ee3p \u0111\u1ec3 bi\u1ec3u di\u1ec5n d\u1eef li\u1ec7u. Ph\u00e2n t\u00edch v\u00e0 x\u1eed l\u00ed d\u1eef li\u1ec7u: Bi\u1ebft ph\u00e1t hi\u1ec7n v\u00e0 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 \u0111\u01a1n gi\u1ea3n xu\u1ea5t hi\u1ec7n t\u1eeb c\u00e1c s\u1ed1 li\u1ec7u v\u00e0 bi\u1ec3u \u0111\u1ed3 th\u1ed1ng k\u00ea \u0111\u00e3 c\u00f3. 2. N\u0103ng l\u01b0\u0323c chung \u2013 N\u0103ng l\u01b0\u0323c t\u01b0\u0323 chu\u0309 va\u0300 t\u01b0\u0323 ho\u0323c trong ti\u0300m to\u0300i, kha\u0301m pha\u0301. \u2013 N\u0103ng l\u01b0\u0323c giao ti\u00ea\u0301p va\u0300 h\u01a1\u0323p ta\u0301c trong tri\u0300nh ba\u0300y, tha\u0309o lu\u00e2\u0323n va\u0300 la\u0300m vi\u00ea\u0323c nho\u0301m. \u2013 N\u0103ng l\u01b0\u0323c gia\u0309i quy\u00ea\u0301t v\u00e2\u0301n \u0111\u00ea\u0300 va\u0300 sa\u0301ng ta\u0323o trong th\u01b0\u0323c ha\u0300nh va\u0300 v\u00e2\u0323n du\u0323ng. 3. Hi\u0300nh tha\u0300nh ca\u0301c ph\u00e2\u0309m ch\u00e2\u0301t \u2013 Y\u00eau n\u01b0\u01a1\u0301c, nh\u00e2n \u00e1i. \u2013 Ch\u0103m chi\u0309, trung th\u01b0\u0323c, tra\u0301ch nhi\u00ea\u0323m. B. H\u01af\u1edaNG D\u1eaaN D\u1ea0Y H\u1eccC B\u00e0i 1. THU TH\u1eacP V\u00c0 PH\u00c2N LO\u1ea0I D\u1eee LI\u1ec6U I. M\u1ee5c ti\u00eau 1. Y\u00eau c\u1ea7u c\u00e2\u0300n \u0111a\u0323t: \u2013 Th\u1ef1c hi\u1ec7n v\u00e0 l\u00ed gi\u1ea3i \u0111\u01b0\u1ee3c vi\u1ec7c thu th\u1eadp, ph\u00e2n lo\u1ea1i d\u1eef li\u1ec7u theo c\u00e1c ti\u00eau ch\u00ed cho tr\u01b0\u1edbc t\u1eeb nhi\u1ec1u ngu\u1ed3n kh\u00e1c nhau: v\u0103n b\u1ea3n; b\u1ea3ng bi\u1ec3u; ki\u1ebfn th\u1ee9c trong c\u00e1c l\u0129nh v\u1ef1c gi\u00e1o d\u1ee5c kh\u00e1c; ph\u1ecfng v\u1ea5n, truy\u1ec1n th\u00f4ng, Internet; th\u1ef1c ti\u1ec5n. \u2013 Nh\u1eadn bi\u1ebft \u0111\u01b0\u1ee3c m\u1ed1i li\u00ean h\u1ec7 to\u00e1n h\u1ecdc \u0111\u01a1n gi\u1ea3n gi\u1eefa c\u00e1c s\u1ed1 li\u1ec7u \u0111\u00e3 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n. T\u1eeb \u0111\u00f3, nh\u1eadn bi\u1ebft \u0111\u01b0\u1ee3c s\u1ed1 li\u1ec7u kh\u00f4ng ch\u00ednh x\u00e1c trong nh\u1eefng v\u00ed d\u1ee5 \u0111\u01a1n gi\u1ea3n. \u2013 Ch\u1ee9ng t\u1ecf \u0111\u01b0\u1ee3c t\u00ednh h\u1ee3p l\u00ed c\u1ee7a d\u1eef li\u1ec7u theo c\u00e1c ti\u00eau ch\u00ed to\u00e1n h\u1ecdc \u0111\u01a1n gi\u1ea3n (v\u00ed d\u1ee5: t\u00ednh h\u1ee3p l\u00ed trong c\u00e1c s\u1ed1 li\u1ec7u \u0111i\u1ec1u tra, t\u00ednh h\u1ee3p l\u00ed c\u1ee7a c\u00e1c qu\u1ea3ng c\u00e1o, ...). 2. N\u0103ng l\u1ef1c ch\u00fa tr\u1ecdng: m\u00f4 h\u00ecnh ho\u00e1 to\u00e1n h\u1ecdc, giao ti\u00ea\u0301p toa\u0301n ho\u0323c. 3. T\u00edch h\u1ee3p: To\u00e1n h\u1ecdc v\u00e0 cu\u1ed9c s\u1ed1ng, t\u00edch h\u1ee3p c\u00e1c m\u00f4n h\u1ecdc kh\u00e1c. 113","II. M\u1ed9t s\u1ed1 ch\u00fa \u00fd 1. HS \u0111\u00e3 h\u1ecdc v\u1ec1 ph\u00e2n lo\u1ea1i d\u1eef li\u1ec7u \u1edf c\u00e1c l\u1edbp d\u01b0\u1edbi. L\u1edbp 8 s\u1ebd ph\u00e2n lo\u1ea1i chi ti\u1ebft h\u01a1n. 2. GV c\u1ea7n gi\u00fap HS \u00f4n t\u1eadp c\u00e1c c\u00e1ch thu th\u1eadp v\u00e0 ph\u00e2n lo\u1ea1i d\u1eef li\u1ec7u \u0111\u00e3 h\u1ecdc \u1edf c\u00e1c l\u1edbp d\u01b0\u1edbi, t\u1ea1o \u0111i\u1ec1u ki\u1ec7n cho vi\u1ec7c l\u1ef1a ch\u1ecdn v\u00e0 t\u1ed5ng h\u1ee3p c\u00e1ch thu th\u1eadp v\u00e0 ph\u00e2n lo\u1ea1i d\u1eef li\u1ec7u. III. G\u1ee3i \u00fd c\u00e1c ho\u1ea1t \u0111\u1ed9ng c\u1ee5 th\u1ec3 H\u0110K\u0110 Em \u0111\u00e3 bi\u1ebft nh\u1eefng c\u00e1ch n\u00e0o \u0111\u1ec3 thu th\u1eadp d\u1eef li\u1ec7u? \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a H\u0110K\u0110: Gi\u00fap HS co\u0301 c\u01a1 h\u00f4\u0323i tr\u1ea3i nghi\u1ec7m, tha\u0309o lu\u00e2\u0323n v\u1ec1 c\u00e1c c\u00e1ch thu th\u1eadp d\u1eef li\u1ec7u \u0111\u00e3 h\u1ecdc \u1edf l\u1edbp d\u01b0\u1edbi. GV c\u1ea7n ch\u1ee7 \u0111\u1ed9ng nh\u1eafc l\u1ea1i m\u1ed9t s\u1ed1 c\u00e1ch nh\u01b0 sau: Quan s\u00e1t tr\u1ef1c ti\u1ebfp, l\u00e0m th\u00ed nghi\u1ec7m, l\u1eadp phi\u1ebfu th\u0103m d\u00f2, thu th\u1eadp t\u1eeb c\u00e1c ngu\u1ed3n c\u00f3 s\u1eb5n (s\u00e1ch, b\u00e1o, Internet, ...) \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110K\u0110: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV s\u1eed d\u1ee5ng c\u01a1 h\u1ed9i \u0111\u1ec3 gi\u1edbi thi\u1ec7u b\u00e0i. C\u00f3 th\u1ec3 cho th\u1ea3o lu\u1eadn theo t\u1ed5 ho\u1eb7c nh\u00f3m HS. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: C\u00e1c c\u00e1ch thu th\u1eadp d\u1eef li\u1ec7u HS \u0111\u00e3 h\u1ecdc l\u00e0: \u2013 Quan s\u00e1t tr\u1ef1c ti\u1ebfp, ph\u1ecfng v\u1ea5n, l\u1eadp phi\u1ebfu th\u0103m d\u00f2. \u2013 L\u00e0m th\u00ed nghi\u1ec7m. \u2013 Thu th\u1eadp t\u1eeb c\u00e1c ngu\u1ed3n c\u00f3 s\u1eb5n nh\u01b0: S\u00e1ch, b\u00e1o, tranh \u1ea3nh, Internet. L\u01b0u \u00fd: \u0110\u00e2y l\u00e0 c\u00e2u h\u1ecfi m\u1edf, t\u1ea1o s\u1ef1 ch\u00fa \u00fd v\u00e0 k\u1ebft n\u1ed1i. GV kh\u00f4ng c\u1ea7n \u0111\u00e1nh gi\u00e1 c\u00e2u tr\u1ea3 l\u1eddi c\u1ee7a HS \u0111\u00fang hay sai. Tinh th\u1ea7n chung c\u1ee7a H\u0110K\u0110 l\u00e0: \u201cM\u1ecdi c\u00e2u tr\u1ea3 l\u1eddi \u0111\u1ec1u \u0111\u01b0\u1ee3c ghi nh\u1eadn, mu\u1ed1n bi\u1ebft \u0111\u00fang \u2013 sai, h\u1ecdc xong b\u00e0i n\u00e0y s\u1ebd r\u00f5!\u201d 1. Thu th\u1eadp d\u1eef li\u1ec7u H\u0110KP 1 114","b) Theo em, b\u1ea1n Tu\u0301 \u0111\u00e3 d\u00f9ng ph\u01b0\u01a1ng ph\u00e1p n\u00e0o trong c\u00e1c ph\u01b0\u01a1ng ph\u00e1p sau \u0111\u1ec3 thu th\u1eadp d\u1eef li\u1ec7u? STT T\u00ean ph\u01b0\u01a1ng ph\u00e1p 1 Quan s\u00e1t tr\u1ef1c ti\u1ebfp 2 L\u00e0m th\u00ed nghi\u1ec7m 3 L\u1eadp phi\u1ebfu th\u0103m d\u00f2 4 Thu th\u1eadp t\u1eeb nh\u1eefng ngu\u1ed3n c\u00f3 s\u1eb5n nh\u01b0 s\u00e1ch, b\u00e1o, Internet Nh\u1eadn x\u00e9t: C\u00f3 nhi\u1ec1u c\u00e1ch \u0111\u1ec3 thu th\u1eadp d\u1eef li\u1ec7u nh\u01b0: thu th\u1eadp t\u1eeb c\u00e1c ngu\u1ed3n c\u00f3 s\u1eb5n, \u2013 Mp\u1ee5hc\u1ecfn\u0111g\u00edcvh\u1ea5nc,\u1ee7la\u1eadpHp\u0110hiK\u1ebfuPc\u00e21u: Gh\u1ecfii\u00fa,pquHanSsc\u00e1ot\u0301, lc\u00e0\u01a1mht\u00f4h\u0323\u00edi ntrg\u1ea3hii\u1ec7nmgh, \u2026i\u1ec7m. C, hthu\u0301an\u0309og tlauc\u00e2\u0323\u1ea7nnvt\u00ec\u1ec1mcp\u00e1hch\u01b0\u01a1tnhgupthh\u00e1\u1eadpp th\u00f4ng tpihn\u00f9vh\u1ec1\u1ee3kp\u1ebfvt \u1edbqiul\u1ea3\u0129nShEvA\u1ef1cG, amm\u1ee5ecs\u01113\u00edc1h. c\u1ea7n thu th\u1eadp. \u2013 GV\u01a1\u0323i\u00ed dy\u0301\u1ee5t\u00f41\u0309 .ch\u01b0\u0301c H\u0110KP 1: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. Th\u1ef1c h\u00e0nh 1. EmDh\u1eef\u00e3lyi\u1ec7\u0111u\u1ec1vx\u1ec1u\u1ea5t ph\u01b0\u01a1ng ph\u00e1p thu Pthh\u1ead\u01b0p\u01a1dn\u1eefglpi\u1ec7hu\u00e1cphco\u00f3ct\u00e1hc\u1ec3vs\u00e2\u1eed\u0301nd\u0111\u1ee5\u1ec1nsgau: a) S\u1ea3\u0110n\u1ecbal\u01b0l\u1ee3\u00ed,nLg\u1ecbcgh\u1ea1os\u1eedv\u00e0 c\u00e0 ph\u00ea xu\u1ea5t kh\u1ea9u c\u1ee7a TVhi\u1ec7uttNh\u1eadapmt\u1eebtrnognug\u1ed3bn\u1ed1cn\u00f3ns\u0103\u1eb5mn g\u1ea7n nh\u1ea5t. b) \u00ddTkhi\u1ef1\u1ebfnc tci\u1ee7\u1ec5na (hm\u1ecdc\u00f4istirn\u01b0h\u1eddknhg\u1ed1, ti\u00e08i cvh\u1ec1\u00ednchh,\u1ea5yt lt\u01b0\u1ebf,\u1ee3nPghb\u1ecf\u01b0n\u0303ag \u0103vn\u1ea5nb,a\u0301ln\u1eadptrpu\u0301h.i\u1ebfu h\u1ecfi, thu th\u1eadp t\u1eeb ngu\u1ed3n M\u1ee5cg\u0111i\u00e1\u00edcch\u1ea3ct\u1ee7ha\u1ecb tTr\u01b0h\u1edd\u1ef1ncgh)\u00e0nh 1: HS th\u01b0\u0323c ha\u0300nh lc\u1ef1\u00f3asc\u1eb5hn\u1ecd, Inncte\u00e1rcnhetph\u00f9 h\u1ee3p \u0111\u1ec3 thu th\u1eadp th\u00f4ng tin nh\u1eb1m r\u00e8Mn\u1ee9lucy\u0111\u1ec7\u1ed9nhk\u00e0\u0129i nl\u00f2\u0103nnggct\u1ee7haeoc\u00f4yn\u00eagu dc\u00e2\u1ea7nu c\u1ea7n \u0111\u1ea1t.Quan s\u00e1t, ph\u1ecfng v\u1ea5n, l\u1eadp phi\u1ebfu kh\u1ea3o s\u00e1t Vth\u1ead\u1ed1nTan)hgdS\u1ef1k\u1ee5\u1ea3c\u00eannhdgl\u00e2\u00e0\u01b0nn1\u1ee3sh.n\u1ed1gS1cg.\u1eed\u00e1\u1ea1Ecodmt\u1ec9\u1ee5vnnh\u00e0hg\u00e3cTy\u00e0\u00e2p\u0111yph\u1ec1h\u01b0N\u00eax\u01a1guxnu\u1ea5ugyt\u1ea5\u00eaptpnhkh:\u01b0hK\u00e1\u01a1\u1ea9ponungtchT\u1ee7p\u00eduahcm\u00e1hVp,ih\u1ec7Gth\u1ee3tiuNpa taLh\u0111ma\u1ead\u1ec3ip,ttr\u0110dho\u1eef\u1eafunkglitL\u1ec7bhu\u1eaf\u1ed1\u1eadkpnc,hn\u0110do\u0103\u1eaf\u1eefmck\u00e1lNcgi\u1ec7\u1ea7\u00f4vunn\u1ea5ngnv,h\u0111\u00e0L\u1ea5\u1ec1t\u00e2l.s\u1eadmapu\u0110:b\u1ed3\u1ea3nngg. V\u1eadnb)d\u00dd\u1ee5nkgi\u1ebf2n.cE\u1ee7ma hh\u1ecd\u00e3cys\u0111in\u1ec1hxkuh\u1ea5\u1ed1t ip8h\u01b0v\u01a1\u1ec1ncgh\u1ea5pthl\u00e1\u01b0p\u1ee3nthgubt\u1eefha\u1eadp\u0103nd\u1eefb\u00e1lni\u1ec7turuv\u0301.\u00e0 l\u00ed gi\u1ea3i v\u1ec1 vi\u1ec7c l\u1ea5y \u00fd ki\u1ebfn h\u1ecdcVs\u1eadinnhdl\u1ee5\u1edbnpgem1. vS\u1ec1\u1eed\u0111\u1ecbda\u1ee5\u0111nig\u1ec3mphth\u01b0a\u01a1mngqupahn\u00e1ptrothn\u00edgchchhu\u1ee3yp\u1ebfn\u0111\u0111\u1ec3i tdh\u00e3untgho\u1ead\u1ea1pi cdu\u1eef\u1ed1ilih\u1ec7\u1ecduc vk\u00e0\u00ec sl\u1eaf\u1eadpp t\u1edbbi\u1ea3.ng \u2013 Mth\u1ee5\u1ed1cn\u0111g\u00edckh\u00ea dc\u00e2\u1ee7nasV\u1ed1 c\u1ead\u00e1ncdt\u1ec9\u1ee5nnhgT1\u00e2y, 2N:gHuyS\u00eanc:\u00f3Kco\u01a1nhT\u1ed9uimv,\u1eadGniad\u1ee5Lnagi, \u0110ki\u1eaf\u1ebfknLt\u1eafhk\u1ee9,c\u0110v\u1eaf\u1eebkaNh\u00f4\u1ecdncg,vL\u00e0\u00e2omth\u0110\u1ef1\u1ed3cngt\u1ebf. s\u01b0\u0309 du\u0323nVg\u1eadcn\u00e1dc\u1ee5pnhg\u01b0\u01a12n. Egmphh\u00e1\u00e3pyt\u0111h\u1ec1uxtuh\u1ea5\u1eadtppdh\u1eef\u01b0\u01a1lni\u1ec7gupthh\u00e1\u00edpchthhu\u1ee3tph\u1eadvp\u1ec1dd\u1eef\u1eeflil\u1ec7i\u1ec7uuvd\u00e0\u00e2l\u00edngsi\u1ed1\u1ea3ivv\u00e0\u1ec1 \u00fdvik\u1ec7ci\u1ebfln\u1ea5yc\u1ee7\u00fdakci\u1ebf\u00e1nc b\u1ea1n h\u1ecdhc\u1ecdscinsihnhtrol\u1edbnpgelm\u1edbpvv\u1ec1\u1ec1\u0111\u1ecb\u0111a\u1ecba\u0111i\u0111\u1ec3im\u1ec3mthtahmamquqaunatnrocn\u1ee7gaclh\u1edbupy.\u1ebfn \u0111i d\u00e3 ngo\u1ea1i cu\u1ed1i h\u1ecdc k\u00ec s\u1eafp t\u1edbi. 2. PH\u00c2N LO\u1ea0I D\u1eee LI\u1ec6U THEO C\u00c1C TI\u00caU CH\u00cd 115 2 Th\u00f4ng tin v\u1ec1 5 b\u1ea1n h\u1ecdc sinh trong c\u00e2u l\u1ea1c b\u1ed9 c\u1ea7u l\u00f4ng c\u1ee7a tr\u01b0\u1eddng Trung h\u1ecdc c\u01a1 s\u01a1\u0309 Quang Trung tham gia gi\u1ea3i \u0111\u1ea5u c\u1ee7a t\u1ec9nh \u0111\u01b0\u1ee3c cho b\u01a1\u0309i b\u1ea3ng th\u1ed1ng k\u00ea sau:","Th\u1ef1c ti\u1ec5n (m\u00f4i tr\u01b0\u1eddng, t\u00e0i ch\u00ednh, y t\u1ebf, Ph\u1ecfng v\u1ea5n, l\u1eadp phi\u1ebfu h\u1ecfi, thu th\u1eadp t\u1eeb ngu\u1ed3n gi\u00e1 c\u1ea3 th\u1ecb tr\u01b0\u1eddng) c\u00f3 s\u1eb5n, Internet M\u1ee9c \u0111\u1ed9 h\u00e0i l\u00f2ng c\u1ee7a c\u00f4ng d\u00e2n Quan s\u00e1t, ph\u1ecfng v\u1ea5n, l\u1eadp phi\u1ebfu kh\u1ea3o s\u00e1t Th\u1ef1c h\u00e0nh 1. Em h\u00e3y \u0111\u1ec1 xu\u1ea5t ph\u01b0\u01a1ng ph\u00e1p thu th\u1eadp d\u1eef li\u1ec7u cho c\u00e1c v\u1ea5n \u0111\u1ec1 sau: GV\u2013cG\u00f3ba\u01a1t\u0323))hiS\u00dd\u1ec3y\u0301\u1ea3cnkth\u00f4i\u0309lo\u1ebf\u01b0cnH\u1ee3hcn\u01b0S\u0301\u1ee7gcahgVho\u1ea1\u1ecd\u1ea1\u1eadoctnv\u0111sd\u00e0\u1ed9in\u1ee5nchn\u00e0ggkpnhh1h\u1ed1\u00ea,\u00f3i2xm8:uv\u1ea5Hht\u1ec1oSk\u1eb7chchtr\u1ea9\u1ea5atu\u0309thlluc\u01a1\u01b0\u0300\u1ee7y\u1ee3ia\u1ebfnytVg\u00eatirub\u1ec7\u00ecn\u1eeftchNa\u1ea7.u\u0103anmv\u00e0bto\u00e1ronvnt\u1edfgru,\u0301b.G\u1ed1Vn ns\u0103\u1eedma gch\u1ea7nunngh\u1ea5ttr.\u01b0\u1edbc l\u1edbp. H\u01b0\u1edbVn\u1eadgndd\u1eab\u1ee5nn\u2013g\u01111\u00e1.pS\u00e1\u1eedn:d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p th\u00edch h\u1ee3p \u0111\u1ec3 thu th\u1eadp d\u1eef li\u1ec7u v\u00e0 l\u1eadp b\u1ea3ng V\u1eadnthd\u1ed1\u1ee5nnggk\u00ea1:dT\u00e2nras\u1ed1cc\u1ee9\u00e1ucnt\u1ec9in\u00eahnTg\u00e2iy\u00e1mNgtuhy\u1ed1\u00eanng: Kk\u00eao,ntThuamm,kGhi\u1ea3aoLat\u1eebi, \u0110In\u1eaftkerLn\u1eafekt., \u0110\u1eafk N\u00f4ng, L\u00e2m \u0110\u1ed3ng. V\u1eadnVd\u1ead\u1ee5nndg\u1ee52n:gL2\u1ead.pEpmhih\u1ebf\u00e3uyt\u0111h\u1ec1\u0103mxu\u1ea5dt\u00f2p.h\u01b0\u01a1ng ph\u00e1p thu th\u1eadp d\u1eef li\u1ec7u v\u00e0 l\u00ed gi\u1ea3i v\u1ec1 vi\u1ec7c l\u1ea5y \u00fd ki\u1ebfn 2. Phh\u1ecd\u00e2cnsilnoh\u1ea1il\u1edbdp\u1eefelmi\u1ec7uv\u1ec1th\u0111\u1ecbeao\u0111ci\u1ec3\u00e1mc tthi\u00eaaumcqhu\u00edan trong chuy\u1ebfn \u0111i d\u00e3 ngo\u1ea1i cu\u1ed1i h\u1ecdc k\u00ec s\u1eafp t\u1edbi. H2.\u0110PKHP\u00c22 N LO\u1ea0I D\u1eee LI\u1ec6U THEO C\u00c1C TI\u00caU CH\u00cd 2 Th\u00f4ng tin v\u1ec1 5 b\u1ea1n h\u1ecdc sinh trong c\u00e2u l\u1ea1c b\u1ed9 c\u1ea7u l\u00f4ng c\u1ee7a tr\u01b0\u1eddng Trung h\u1ecdc c\u01a1 s\u01a1\u0309 Quang Trung tham gia gi\u1ea3i \u0111\u1ea5u c\u1ee7a t\u1ec9nh \u0111\u01b0\u1ee3c cho b\u01a1\u0309i b\u1ea3ng th\u1ed1ng k\u00ea sau: Ho\u0323 va\u0300 t\u00ean Kh\u1ed1i Chi\u1ec1u cao Gi\u1edbi t\u00ednh K\u0129 thu\u1eadt S\u1ed1 n\u1ed9i dung (cm) ph\u00e1t c\u1ea7u thi \u0111\u1ea5u Tr\u1ea7n V\u0103n Long 9 165 Nam 3 Nguy\u1ec5n Tr\u00ed T\u00edn 8 162 Nam T\u1ed1t 2 L\u00ea Th\u1ecb Th\u1ecd 8 168 N\u1eef Kh\u00e1 2 Nguy\u1ec5n Th\u1ecb Thu\u00fd 7 160 N\u1eef T\u1ed1t 1 L\u00fd Th\u00e0nh Anh 6 Nam Kh\u00e1 2 140 Trung b\u00ecnh 92 \u2013 Mu\u0323c \u0111i\u0301ch cu\u0309a H\u0110KP 2: Gi\u00fap HS l\u00e0m quen v\u1edbi vi\u1ec7c ph\u00e2n lo\u1ea1i d\u1eef li\u1ec7u qua th\u1ef1c t\u1ebf nh\u1eadn bi\u1ebft d\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh g\u1ed3m hai lo\u1ea1i l\u00e0 d\u1eef li\u1ec7u \u0111\u1ecbnh danh v\u00e0 d\u1eef li\u1ec7u bi\u1ec3u th\u1ecb th\u1ee9 b\u1eadc. D\u1eef li\u1ec7u \u0111\u1ecbnh l\u01b0\u1ee3ng bao g\u1ed3m hai lo\u1ea1i l\u00e0 d\u1eef li\u1ec7u r\u1eddi r\u1ea1c v\u00e0 d\u1eef li\u1ec7u li\u00ean t\u1ee5c. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110KP 2: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. C\u00f3 th\u1ec3 h\u01b0\u1edbng d\u1eabn HS v\u1ebd s\u01a1 \u0111\u1ed3 sau v\u00e0 t\u00ecm th\u00eam v\u00ed d\u1ee5 minh ho\u1ea1. D\u1eee LI\u1ec6U (DL) DL \u0110\u1ecaNH T\u00cdNH DL \u0110\u1ecaNH L\u01af\u1ee2NG DL \u0110\u1ecaNH DANH DL BI\u1ec2U TH\u1eca TH\u1ee8 B\u1eacC DL R\u1edcI R\u1ea0C DL LI\u00caN T\u1ee4C V\u00cd D\u1ee4: T\u00caN G\u1eccI, V\u00cd D\u1ee4: DANH HI\u1ec6U, V\u00cd D\u1ee4: L\u1edaP, B\u1eacC, V\u00cd D\u1ee4: CHI\u1ec0U CAO, M\u00c0U S\u1eaeC, X\u1ebeP LO\u1ea0I TH\u1ee2, ... C\u00c2N N\u1eb6NG, GI\u1edaI T\u00cdNH, ... THI \u0110UA, ... S\u1ed0 \u0110O, G\u00d3C, ... 116","Th\u1ef1c h\u00e0nh 2. Cho c\u00e1c lo\u1ea1i d\u1eef li\u1ec7u sau \u0111\u00e2y: \u2013 Danh s\u00e1ch m\u1ed9t s\u1ed1 lo\u1ea1i tr\u00e1i c\u00e2y: cam, xo\u00e0i, m\u00edt, \u2026 \u2013 Kh\u1ed1i l\u01b0\u1ee3ng (t\u00ednh theo g) c\u1ee7a m\u1ed9t s\u1ed1 tr\u00e1i c\u00e2y: 240; 320; 1 200; \u2026 \u2013 \u0110\u1ed9 ch\u00edn cu\u0309a tra\u0301i c\u00e2y: r\u1ea5t ch\u00edn, v\u1eeba ch\u00edn, h\u01a1i ch\u00edn, c\u00f2n xanh, \u2026 \u2013 H\u00e0m l\u01b0\u1ee3ng vitamin C (t\u00ednh theo mg) c\u00f3 trong m\u1ed9t s\u1ed1 tr\u00e1i c\u00e2y: 95; 52; 28; \u2026 \u2013 M\u1ee9c \u0111\u1ed9 t\u01b0\u01a1i ngon cu\u0309a tra\u0301i c\u00e2y: lo\u1ea1i 1, lo\u1ea1i 2, lo\u1ea1i 3. a) T\u00ecm d\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh v\u00e0 d\u1eef li\u1ec7u \u0111\u1ecbnh l\u01b0\u1ee3ng trong c\u00e1c d\u1eef li\u1ec7u tr\u00ean. b) Trong s\u1ed1 c\u00e1c d\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh t\u00ecm \u0111\u01b0\u1ee3c, d\u1eef li\u1ec7u n\u00e0o c\u00f3 th\u1ec3 so s\u00e1nh h\u01a1n k\u00e9m? c) Trong s\u1ed1 c\u00e1c d\u1eef li\u1ec7u \u0111\u1ecbnh l\u01b0\u1ee3ng t\u00ecm \u0111\u01b0\u1ee3c, d\u1eef li\u1ec7u n\u00e0o l\u00e0 li\u00ean t\u1ee5c? \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a Th\u1ef1c h\u00e0nh 2: HS th\u01b0\u0323c ha\u0300nh ph\u00e2n lo\u1ea1i d\u1eef li\u1ec7u \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c Th\u1ef1c h\u00e0nh 2: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. V\u1eadn d\u1ee5ng 3. Th\u1ed1ng k\u00ea v\u1ec1 c\u00e1c lo\u1ea1i l\u1ed3ng \u0111\u00e8n m\u00e0 c\u00e1c b\u1ea1n h\u1ecdc sinh l\u1edbp 8C l\u00e0m \u0111\u01b0\u1ee3c \u0111\u1ec3 trao t\u1eb7ng cho tr\u1ebb em khuy\u1ebft t\u1eadt nh\u00e2n d\u1ecbp T\u1ebft Trung thu \u0111\u01b0\u1ee3c cho trong b\u1ea3ng d\u1eef li\u1ec7u sau: STT T\u00ean l\u1ed3ng \u0111\u00e8n Lo\u1ea1i S\u1ed1 l\u01b0\u1ee3ng M\u00e0u s\u1eafc 1 Con c\u00e1 L\u1edbn 2 V\u00e0ng 2 Thi\u00ean nga V\u1eeba 6 Xanh 3 Con th\u1ecf Nh\u1ecf 10 N\u00e2u 4 Ng\u00f4i sao L\u1edbn 2 \u0110\u1ecf 5 \u0110\u00e8n x\u1ebfp Nh\u1ecf 15 Cam a) T\u00ecm d\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh v\u00e0 d\u1eef li\u1ec7u \u0111\u1ecbnh l\u01b0\u1ee3ng trong b\u1ea3ng d\u1eef li\u1ec7u tr\u00ean. b) Trong s\u1ed1 c\u00e1c d\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh t\u00ecm \u0111\u01b0\u1ee3c, d\u1eef li\u1ec7u n\u00e0o c\u00f3 th\u1ec3 so s\u00e1nh h\u01a1n k\u00e9m? c) Trong s\u1ed1 c\u00e1c d\u1eef li\u1ec7u \u0111\u1ecbnh l\u01b0\u1ee3ng t\u00ecm \u0111\u01b0\u1ee3c, d\u1eef li\u1ec7u n\u00e0o l\u00e0 r\u1eddi r\u1ea1c? \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 3: HS c\u00f3 c\u01a1 h\u1ed9i v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1eeba h\u1ecdc v\u00e0o th\u1ef1c t\u1ebf, v\u1eadn d\u1ee5ng t\u1ed5ng h\u1ee3p c\u00e1c k\u0129 n\u0103ng th\u00f4ng qua vi\u1ec7c ph\u00e2n bi\u1ec7t d\u1eef li\u1ec7u li\u00ean t\u1ee5c v\u00e0 d\u1eef li\u1ec7u r\u1eddi r\u1ea1c. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c V\u1eadn d\u1ee5ng 3: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. GV c\u00f3 th\u1ec3 cho HS ho\u1ea1t \u0111\u1ed9ng nh\u00f3m ho\u1eb7c thuy\u1ebft tr\u00ecnh. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: a) D\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh: T\u00ean l\u1ed3ng \u0111\u00e8n, lo\u1ea1i, m\u00e0u s\u1eafc. D\u1eef li\u1ec7u \u0111\u1ecbnh l\u01b0\u1ee3ng: S\u1ed1 l\u01b0\u1ee3ng. b) Lo\u1ea1i l\u1ed3ng \u0111\u00e8n c\u00f3 th\u1ec3 so s\u00e1nh h\u01a1n k\u00e9m: L\u1edbn > V\u1eeba > Nh\u1ecf. c) S\u1ed1 l\u01b0\u1ee3ng l\u1ed3ng \u0111\u00e8n l\u00e0 d\u1eef li\u1ec7u r\u1eddi r\u1ea1c. 117","3. T\u00ednh h\u1ee3p l\u00ed c\u1ee7a d\u1eef li\u1ec7u H\u0110KP 3 \u2013 Mu\u0323c \u0111i\u0301ch cu\u0309a H\u0110KP 3: H\u01b0\u01a1\u0301ng d\u00e2\u0303n HS \u0111\u00e1nh gi\u00e1 t\u00ednh h\u1ee3p l\u00ed c\u1ee7a d\u1eef li\u1ec7u. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110KP 3: Y\u00eau c\u00e2\u0300u HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. Th\u1ef1c h\u00e0nh 3. B\u1ea3ng th\u1ed1ng k\u00ea sau cho bi\u1ebft d\u1eef li\u1ec7u v\u1ec1 ho\u1ea1t \u0111\u1ed9ng trong gi\u1edd ra ch\u01a1i c\u1ee7a h\u1ecdc sinh l\u1edbp 8A1 (m\u1ed7i h\u1ecdc sinh ch\u1ec9 th\u1ef1c hi\u1ec7n m\u1ed9t ho\u1ea1t \u0111\u1ed9ng). Ho\u1ea1t \u0111\u1ed9ng S\u1ed1 h\u1ecdc sinh \u0110\u1ecdc s\u00e1ch 90 \u00d4n b\u00e0i 10 Ch\u01a1i c\u1ea7u l\u00f4ng 18 \u0110\u00e1 c\u1ea7u 12 Ch\u01a1i c\u1edd vua 8 Nh\u1ea3y d\u00e2y T\u1ea5t c\u1ea3 c\u00e1c b\u1ea1n n\u1eef N\u00eau nh\u1eadn x\u00e9t c\u1ee7a em v\u1ec1 t\u00ednh h\u1ee3p l\u00ed c\u1ee7a c\u00e1c d\u1eef li\u1ec7u trong b\u1ea3ng th\u1ed1ng k\u00ea tr\u00ean. M\u1ee5c \u0111\u00edch c\u1ee7a Th\u1ef1c h\u00e0nh 3: HS th\u01b0\u0323c ha\u0300nh \u0111\u00e1nh gi\u00e1 t\u00ednh h\u1ee3p l\u00ed c\u1ee7a d\u1eef li\u1ec7u \u0111\u00ea\u0309 re\u0300n luy\u00ea\u0323n ki\u0303 n\u0103ng theo y\u00eau c\u00e2\u0300u c\u00e2\u0300n \u0111a\u0323t. V\u1eadn d\u1ee5ng 4. Th\u1ecb ph\u1ea7n c\u1ee7a m\u1ed9t s\u1ea3n ph\u1ea9m l\u00e0 ph\u1ea7n th\u1ecb tr\u01b0\u1eddng ti\u00eau th\u1ee5 m\u00e0 s\u1ea3n ph\u1ea9m \u0111\u00f3 chi\u1ebfm l\u0129nh so v\u1edbi t\u1ed5ng s\u1ed1 s\u1ea3n ph\u1ea9m ti\u00eau th\u1ee5 c\u1ee7a th\u1ecb tr\u01b0\u1eddng. B\u1ea3ng th\u1ed1ng k\u00ea sau cho bi\u1ebft t\u1ec9 s\u1ed1 ph\u1ea7n tr\u0103m th\u1ecb ph\u1ea7n c\u1ee7a 4 lo\u1ea1i b\u00fat tr\u00ean th\u1ecb tr\u01b0\u1eddng. 118","Lo\u1ea1i b\u00fat T\u1ec9 s\u1ed1 ph\u1ea7n tr\u0103m X 10% Y 20% Z 40% T 30% X\u00e9t t\u00ednh h\u1ee3p l\u00ed c\u1ee7a c\u00e1c qu\u1ea3ng c\u00e1o sau \u0111\u00e2y \u0111\u1ed1i v\u1edbi nh\u00e3n hi\u1ec7u b\u00fat Z: a) L\u00e0 lo\u1ea1i b\u00fat \u0111\u01b0\u1ee3c m\u1ecdi ng\u01b0\u1eddi d\u00f9ng l\u1ef1a ch\u1ecdn. b) L\u00e0 lo\u1ea1i b\u00fat chi\u1ebfm th\u1ecb ph\u1ea7n cao nh\u1ea5t. \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 4: HS c\u00f3 c\u01a1 h\u1ed9i v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1eeba h\u1ecdc v\u00e0o th\u1ef1c t\u1ebf \u0111\u00e1nh gi\u00e1 t\u00ednh h\u1ee3p l\u00ed c\u1ee7a c\u00e1c m\u1eabu qu\u1ea3ng c\u00e1o theo d\u1eef li\u1ec7u th\u1ed1ng k\u00ea. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c V\u1eadn d\u1ee5ng 4: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. GV c\u00f3 th\u1ec3 cho HS ho\u1ea1t \u0111\u1ed9ng nh\u00f3m ho\u1eb7c thuy\u1ebft tr\u00ecnh. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: a) Qu\u1ea3ng c\u00e1o kh\u00f4ng h\u1ee3p l\u00ed so v\u1edbi s\u1ed1 li\u1ec7u th\u1ed1ng k\u00ea v\u00ec lo\u1ea1i b\u00fat Z \u00edt h\u01a1n 50%. b) Qu\u1ea3ng c\u00e1o l\u00e0 h\u1ee3p l\u00ed v\u00ec ph\u00f9 h\u1ee3p v\u1edbi s\u1ed1 li\u1ec7u c\u1ee7a b\u1ea3ng th\u1ed1ng k\u00ea. IV. H\u01b0\u1edbng d\u1eabn gi\u1ea3i c\u00e1c b\u00e0i t\u1eadp 1. \ta) L\u1eadp phi\u1ebfu th\u0103m d\u00f2, ph\u1ecfng v\u1ea5n. b) L\u00e0m th\u00ed nghi\u1ec7m ng\u1eabu nhi\u00ean. c) D\u1ef1a v\u00e0o c\u00e1c ngu\u1ed3n c\u00f3 s\u1eb5n nh\u01b0 b\u00e1o ch\u00ed, Internet, ... d) D\u1ef1a v\u00e0o c\u00e1c ngu\u1ed3n c\u00f3 s\u1eb5n nh\u01b0 b\u00e1o ch\u00ed, Internet, ... 2. \tCh\u1eb3ng h\u1ea1n, n\u1ebfu thu th\u1eadp d\u1eef li\u1ec7u v\u1ec1 d\u00e2n s\u1ed1 c\u00e1c t\u1ec9nh khu v\u1ef1c mi\u1ec1n \u0110\u00f4ng Nam B\u1ed9 c\u1ee7a Vi\u1ec7t Nam n\u0103m 2021, ta c\u00f3 th\u1ec3 tra c\u1ee9u t\u1eeb Ni\u00ean gi\u00e1m th\u1ed1ng k\u00ea n\u0103m 2021 v\u00e0 \u0111\u01b0\u1ee3c b\u1ea3ng th\u1ed1ng k\u00ea nh\u01b0 sau: STT Th\u00e0nh ph\u1ed1 \/ T\u1ec9nh D\u00e2n s\u1ed1 (ngh\u00ecn ng\u01b0\u1eddi) 1 Th\u00e0nh ph\u1ed1 H\u1ed3 Ch\u00ed Minh 9 166,8 2 B\u00e0 R\u1ecba \u2013 V\u0169ng T\u00e0u 1 176,1 3 B\u00ecnh D\u01b0\u01a1ng 2 596,8 4 B\u00ecnh Ph\u01b0\u1edbc 1 024,3 5 \u0110\u1ed3ng Nai 3 169,1 6 T\u00e2y Ninh 1 181,9 \t\t\t \t \t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t (Ngu\u1ed3n: Ni\u00ean gi\u00e1m th\u1ed1ng k\u00ea n\u0103m 2021) 119","3. \t\u0110i\u1ec3m ch\u01b0a h\u1ee3p l\u00ed: D\u1eef li\u1ec7u \u201cC\u1ea3 t\u1ed5 3\u201d: Kh\u00f4ng \u0111\u00fang \u0111\u1ecbnh d\u1ea1ng. C\u00e1c s\u1ed1 li\u1ec7u 14, 32, 25 c\u00f3 t\u1ed5ng b\u1eb1ng 71 v\u01b0\u1ee3t qu\u00e1 s\u0129 s\u1ed1 c\u1ee7a m\u1ed9t l\u1edbp h\u1ecdc. 4. \ta) M\u1eabu qu\u1ea3ng c\u00e1o ch\u01b0a h\u1ee3p l\u00ed v\u00ec c\u00f3 44 h\u1ecdc sinh l\u1ef1a ch\u1ecdn c\u00e1c nh\u00e3n hi\u1ec7u kh\u00e1c. b) M\u1eabu qu\u1ea3ng c\u00e1o l\u00e0 h\u1ee3p l\u00ed v\u00ec ph\u00f9 h\u1ee3p v\u1edbi s\u1ed1 li\u1ec7u c\u1ee7a b\u1ea3ng th\u1ed1ng k\u00ea. 5. \ta) D\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh: H\u1ecd v\u00e0 t\u00ean, m\u00f4n b\u01a1i s\u1edf tr\u01b0\u1eddng, k\u0129 thu\u1eadt b\u01a1i. D\u1eef li\u1ec7u \u0111\u1ecbnh l\u01b0\u1ee3ng: C\u00e2n n\u1eb7ng, s\u1ed1 n\u1ed9i dung thi \u0111\u1ea5u. b) Trong ba d\u1eef li\u1ec7u \u0111\u1ecbnh t\u00ednh, d\u1eef li\u1ec7u k\u0129 thu\u1eadt b\u01a1i c\u00f3 th\u1ec3 so s\u00e1nh h\u01a1n k\u00e9m. c) C\u00e2n n\u1eb7ng l\u00e0 d\u1eef li\u1ec7u li\u00ean t\u1ee5c. B\u00e0i 2. L\u1ef0A CH\u1eccN D\u1ea0NG BI\u1ec2U \u0110\u1ed2 \u0110\u1ec2 BI\u1ec2U DI\u1ec4N D\u1eee LI\u1ec6U I. M\u1ee5c ti\u00eau 1. Y\u00eau c\u1ea7u c\u00e2\u0300n \u0111a\u0323t: \u2013 L\u1ef1a ch\u1ecdn v\u00e0 bi\u1ec3u di\u1ec5n \u0111\u01b0\u1ee3c d\u1eef li\u1ec7u v\u00e0o b\u1ea3ng, bi\u1ec3u \u0111\u1ed3 th\u00edch h\u1ee3p \u1edf d\u1ea1ng: b\u1ea3ng th\u1ed1ng k\u00ea; bi\u1ec3u \u0111\u1ed3 tranh; bi\u1ec3u \u0111\u1ed3 d\u1ea1ng c\u1ed9t\/c\u1ed9t k\u00e9p (column chart), bi\u1ec3u \u0111\u1ed3 h\u00ecnh qu\u1ea1t tr\u00f2n (cho s\u1eb5n) (pie chart); bi\u1ec3u \u0111\u1ed3 \u0111o\u1ea1n th\u1eb3ng (line graph). \u2013 So s\u00e1nh \u0111\u01b0\u1ee3c c\u00e1c d\u1ea1ng bi\u1ec3u di\u1ec5n kh\u00e1c nhau cho m\u1ed9t t\u1eadp d\u1eef li\u1ec7u. \u2013 M\u00f4 t\u1ea3 \u0111\u01b0\u1ee3c c\u00e1ch chuy\u1ec3n d\u1eef li\u1ec7u t\u1eeb d\u1ea1ng bi\u1ec3u di\u1ec5n n\u00e0y sang d\u1ea1ng bi\u1ec3u di\u1ec5n kh\u00e1c. 2. N\u0103ng l\u1ef1c ch\u00fa tr\u1ecdng: t\u01b0 duy v\u00e0 l\u1eadp lu\u1eadn to\u00e1n h\u1ecdc, m\u00f4 h\u00ecnh ho\u00e1 to\u00e1n h\u1ecdc, giao ti\u00ea\u0301p toa\u0301n ho\u0323c. 3. T\u00edch h\u1ee3p: To\u00e1n h\u1ecdc v\u00e0 cu\u1ed9c s\u1ed1ng, t\u00edch h\u1ee3p c\u00e1c m\u00f4n h\u1ecdc kh\u00e1c. II. M\u1ed9t s\u1ed1 ch\u00fa \u00fd 1. GV c\u1ea7n gi\u00fap HS \u00f4n t\u1eadp l\u1ea1i c\u00f4ng d\u1ee5ng c\u1ee7a c\u00e1c lo\u1ea1i bi\u1ec3u \u0111\u1ed3 \u0111\u00e3 h\u1ecdc \u1edf c\u00e1c l\u1edbp d\u01b0\u1edbi. 2. S\u1eed d\u1ee5ng c\u00e1c d\u1eef li\u1ec7u trong th\u1ef1c t\u1ebf quen thu\u1ed9c v\u1edbi HS \u0111\u1ec3 minh ho\u1ea1. III. G\u1ee3i \u00fd c\u00e1c ho\u1ea1t \u0111\u1ed9ng c\u1ee5 th\u1ec3 H\u0110K\u0110 H\u00e3y g\u1ecdi t\u00ean c\u00e1c lo\u1ea1i bi\u1ec3u \u0111\u1ed3 c\u00f3 trong b\u1ee9c h\u00ecnh d\u01b0\u1edbi \u0111\u00e2y. (S\u1ed1 105 120 150 60 (Th\u1ee9) ph\u00fat) Th\u1ee9 3 Th\u1ee9 4 Th\u1ee9 5 Th\u1ee9 6 200 150 100 90 50 0 Th\u1ee9 2 N\u0103m S\u1ed1 xe s\u1ea3n xu\u1ea5t = 10 xe (Gi\u00e2y) ? ? 2020 12 15 gi\u00e2y 16 gi\u00e2y (Th\u1eddi gian) 2021 10 2022 8 2023 6? 2024 4 2 0 14 gi\u00e2y 120","\u2013 M\u1ee5c \u0111\u00edch c\u1ee7a H\u0110K\u0110: Gi\u00fap HS co\u0301 c\u01a1 h\u00f4\u0323i tr\u1ea3i nghi\u1ec7m, tha\u0309o lu\u00e2\u0323n v\u1ec1 c\u00e1c d\u1ea1ng bi\u1ec3u \u0111\u1ed3 \u0111\u00e3 h\u1ecdc v\u00e0 so s\u00e1nh c\u00f4ng d\u1ee5ng c\u1ee7a m\u1ed7i lo\u1ea1i. C\u00e1ch \u0111\u1eb7t v\u1ea5n \u0111\u1ec1 n\u00e0y c\u00f3 kh\u1ea3 n\u0103ng thu h\u00fat HS v\u00e0o b\u00e0i h\u1ecdc. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110K\u0110: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV s\u1eed d\u1ee5ng c\u01a1 h\u1ed9i \u0111\u1ec3 gi\u1edbi thi\u1ec7u b\u00e0i. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: Bi\u1ec3u \u0111\u1ed3 tranh, bi\u1ec3u \u0111\u1ed3 h\u00ecnh qu\u1ea1t, bi\u1ec3u \u0111\u1ed3 c\u1ed9t, bi\u1ec3u \u0111\u1ed3 c\u1ed9t k\u00e9p, bi\u1ec3u \u0111\u1ed3 \u0111o\u1ea1n th\u1eb3ng. L\u01b0u \u00fd: C\u00f3 th\u1ec3 cho ho\u1ea1t \u0111\u1ed9ng nh\u00f3m ho\u1eb7c thuy\u1ebft tr\u00ecnh. 1. L\u1ef1a ch\u1ecdn d\u1ea1ng bi\u1ec3u \u0111\u1ed3 \u0111\u1ec3 bi\u1ec3u di\u1ec5n d\u1eef li\u1ec7u H\u0110KP 1 \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a H\u0110KP 1: Gi\u00fap HS co\u0301 c\u01a1 h\u00f4\u0323i tr\u1ea3i nghi\u1ec7m, tha\u0309o lu\u00e2\u0323n v\u1ec1 t\u00ecnh hu\u1ed1ng c\u1ea7n l\u1ef1a ch\u1ecdn bi\u1ec3u \u0111\u1ed3, ph\u00e2n bi\u1ec7t m\u1eb7t thu\u1eadn l\u1ee3i v\u00e0 h\u1ea1n ch\u1ebf c\u1ee7a m\u1ed7i lo\u1ea1i. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110KP 1: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. Th\u1ef1c h\u00e0nh 1. L\u1ef1a ch\u1ecdn d\u1ea1ng bi\u1ec3u \u0111\u1ed3 th\u00edch h\u1ee3p \u0111\u1ec3 bi\u1ec3u di\u1ec5n d\u1eef li\u1ec7u trong c\u00e1c b\u1ea3ng th\u1ed1ng k\u00ea sau: a) B\u1ea3ng th\u1ed1ng k\u00ea v\u1ec1 c\u00e2n n\u1eb7ng trung b\u00ecnh (\u0111\u01a1n v\u1ecb: kg) c\u1ee7a nam, n\u1eef t\u1ea1i m\u1ed9t s\u1ed1 n\u01b0\u1edbc trong kh\u1ed1i Asean nh\u01b0 sau: Qu\u1ed1c gia Indonesia Malaysia Th\u00e1i Lan Vi\u1ec7t Nam Nam 61,4 71,5 69,8 61,2 N\u1eef 56,2 64,4 63,3 54 (Ngu\u1ed3n: worlddata.info) 121","b) B\u1ea3ng th\u1ed1ng k\u00ea t\u1ec9 l\u1ec7 ph\u1ea7n tr\u0103m s\u1ed1 ti\u1ebft h\u1ecdc c\u00e1c n\u1ed9i dung trong m\u00f4n To\u00e1n l\u1edbp 8: Ph\u1ea7n S\u1ed1 v\u00e0 H\u00ecnh h\u1ecdc v\u00e0 M\u1ed9t s\u1ed1 y\u1ebfu t\u1ed1 Ho\u1ea1t \u0111\u1ed9ng \u0110\u1ea1i s\u1ed1 \u0110o l\u01b0\u1eddng Th\u1ed1ng k\u00ea v\u00e0 th\u1ef1c h\u00e0nh v\u00e0 X\u00e1c su\u1ea5t tr\u1ea3i nghi\u1ec7m T\u1ec9 l\u1ec7 ph\u1ea7n tr\u0103m 43% 36% 14% 7% s\u1ed1 ti\u1ebft h\u1ecdc M\u1ee5c \u0111\u00edch c\u1ee7a Th\u1ef1c h\u00e0nh 1: HS th\u01b0\u0323c ha\u0300nh l\u1ef1a ch\u1ecdn lo\u1ea1i bi\u1ec3u \u0111\u1ed3 \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t. V\u1eadn d\u1ee5ng 1. B\u1ea3ng th\u1ed1ng k\u00ea sau \u0111\u00e2y cho bi\u1ebft vi\u1ec7c s\u1eed d\u1ee5ng th\u1eddi gian c\u1ee7a b\u1ea1n Nam trong ng\u00e0y. Th\u00f4\u0301ng k\u00ea vi\u00ea\u0323c s\u1eed d\u1ee5ng th\u1eddi gian trong ng\u00e0y c\u1ee7a Nam C\u00f4ng vi\u00ea\u0323c Th\u01a1\u0300i gian (gi\u1edd) H\u1ecdc tr\u00ean l\u1edbp 5 Ng\u1ee7 8 \u0102n u\u1ed1ng, v\u1ec7 sinh c\u00e1 nh\u00e2n 2 L\u00e0m b\u00e0i \u1edf nh\u00e0 3 L\u00e0m vi\u1ec7c nh\u00e0 2 Ch\u01a1i th\u1ec3 thao\/ Gi\u1ea3i tr\u00ed 4 H\u00e3y bi\u1ec3u di\u1ec5n d\u1eef li\u1ec7u trong b\u1ea3ng tr\u00ean v\u00e0o c\u00e1c d\u1ea1ng bi\u1ec3u \u0111\u1ed3 sau: a) Bi\u1ec3u \u0111\u1ed3 c\u1ed9t: (Gi\u1edd) Th\u1eddi gian trong ng\u00e0y c\u1ee7a Nam 9 8 ? 7 6 ? 5? 4 ? 3 ?? 2 1 Ng\u1ee7 \u0102n u\u1ed1ng, L\u00e0\u1edfmnhb\u00e0\u00e0i L\u00e0m Ch\u01a1i (C\u00f4ng vi\u1ec7c) 0 H\u1ecdc v\u1ec7 sinh vi\u1ec7c nh\u00e0 th\u1ec3 thao\/ tr\u00ean l\u1edbp c\u00e1 nh\u00e2n Gi\u1ea3i tr\u00ed 122","b) Bi\u1ec3u \u0111\u1ed3 h\u00ecnh qu\u1ea1t tr\u00f2n: Th\u1eddi gian trong ng\u00e0y c\u1ee7a Nam ?% ?% H\u1ecdc tr\u00ean l\u1edbp ?% ?% Ng\u1ee7 ?% \u0102n u\u1ed1ng, v\u1ec7 sinh c\u00e1 nh\u00e2n L\u00e0m b\u00e0i \u1edf nh\u00e0 ?% L\u00e0m vi\u1ec7c nh\u00e0 Ch\u01a1i th\u1ec3 thao\/ Gi\u1ea3i tr\u00ed \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 1: HS c\u01a1 h\u1ed9i v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1eeba h\u1ecdc v\u00e0o th\u1ef1c t\u1ebf bi\u1ec3u di\u1ec5n d\u1eef li\u1ec7u th\u1ed1ng k\u00ea v\u00e0o hai d\u1ea1ng bi\u1ec3u \u0111\u1ed3 kh\u00e1c nhau. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c V\u1eadn d\u1ee5ng 1: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. GV c\u00f3 th\u1ec3 cho HS ho\u1ea1t \u0111\u1ed9ng nh\u00f3m ho\u1eb7c thuy\u1ebft tr\u00ecnh. H\u01b0\u1edbng d\u1eabn \u2212 \u0111\u00e1p \u00e1n: (Gi\u1edd) Th\u1eddi gian trong ng\u00e0y c\u1ee7a Nam 9 8 8 7 6 4 55 3 4 22 3 2 Ng\u1ee7 \u0102n u\u1ed1ng, L\u00e0\u1edfmnhb\u00e0\u00e0i L\u00e0m Ch\u01a1i (C\u00f4ng vi\u1ec7c) 1 v\u1ec7 sinh vi\u1ec7c nh\u00e0 th\u1ec3 thao\/ 0 H\u1ecdc c\u00e1 nh\u00e2n Gi\u1ea3i tr\u00ed tr\u00ean l\u1edbp Th\u1eddi gian trong ng\u00e0y c\u1ee7a Nam 17% 21% H\u1ecdc tr\u00ean l\u1edbp 8% Ng\u1ee7 \u0102n u\u1ed1ng, v\u1ec7 sinh c\u00e1 nh\u00e2n 13% 33% L\u00e0m b\u00e0i \u1edf nh\u00e0 8% L\u00e0m vi\u1ec7c nh\u00e0 Ch\u01a1i th\u1ec3 thao\/ Gi\u1ea3i tr\u00ed 123","2. C\u00e1c d\u1ea1ng bi\u1ec3u di\u1ec5n kh\u00e1c nhau cho m\u1ed9t t\u1eadp d\u1eef li\u1ec7u H\u0110KP 2 \u2013 Mu\u0323c \u0111i\u0301ch cu\u0309a H\u0110KP 2: Gi\u00fap HS l\u00e0m quen v\u1edbi th\u1ef1c t\u1ebf nh\u1eadn bi\u1ebft c\u00e1c d\u1ea1ng bi\u1ec3u di\u1ec5n kh\u00e1c nhau c\u1ee7a c\u00f9ng m\u1ed9t t\u1eadp h\u1ee3p d\u1eef li\u1ec7u. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110KP 2: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. Th\u1ef1c h\u00e0nh 2. Cho b\u1ea3ng th\u1ed1ng k\u00ea s\u1ed1 ti\u1ebft h\u1ecdc c\u00e1c n\u1ed9i dung trong m\u00f4n To\u00e1n c\u1ee7a hai kh\u1ed1i l\u1edbp 6 v\u00e0 l\u1edbp 8 nh\u01b0 sau: Ph\u1ea7n S\u1ed1 v\u00e0 H\u00ecnh h\u1ecdc v\u00e0 M\u1ed9t s\u1ed1 y\u1ebfu t\u1ed1 Ho\u1ea1t \u0111\u1ed9ng \u0110\u1ea1i s\u1ed1 \u0110o l\u01b0\u1eddng Th\u1ed1ng k\u00ea v\u00e0 th\u1ef1c h\u00e0nh v\u00e0 X\u00e1c su\u1ea5t tr\u1ea3i nghi\u1ec7m Kh\u1ed1i l\u1edbp 6 68 40 22 10 Kh\u1ed1i l\u1edbp 8 60 50 20 10 H\u00e3y bi\u1ec3u di\u1ec5n t\u1eadp d\u1eef li\u1ec7u tr\u00ean d\u01b0\u1edbi d\u1ea1ng: a) Hai bi\u1ec3u \u0111\u1ed3 c\u1ed9t. b) M\u1ed9t bi\u1ec3u \u0111\u1ed3 c\u1ed9t k\u00e9p. \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a Th\u1ef1c h\u00e0nh 2: HS th\u01b0\u0323c ha\u0300nh chuy\u1ec3n \u0111\u1ed5i d\u1eef li\u1ec7u gi\u1eefa c\u00e1c d\u1ea1ng kh\u00e1c nhau \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c Th\u1ef1c h\u00e0nh 2: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. 124","V\u1eadn d\u1ee5ng 2. Th\u1ed1ng k\u00ea s\u1ed1 huy ch\u01b0\u01a1ng b\u1ed1n qu\u00f4\u0301c gia d\u1eabn \u0111\u1ea7u SEA Games 31 \u0111\u01b0\u1ee3c cho trong b\u1ea3ng s\u1ed1 li\u1ec7u sau: Qu\u1ed1c gia S\u1ed1 huy ch\u01b0\u01a1ng v\u00e0ng T\u1ed5ng s\u1ed1 huy ch\u01b0\u01a1ng Vi\u1ec7t Nam 205 446 Th\u00e1i Lan 92 332 Indonesia 69 241 Philippines 52 227 H\u00e3y chuy\u1ec3n d\u1eef li\u1ec7u \u0111\u00e3 cho v\u00e0o b\u1ea3ng th\u1ed1ng k\u00ea theo m\u1eabu d\u01b0\u1edbi \u0111\u00e2y v\u00e0 v\u00e0o bi\u1ec3u \u0111\u1ed3 c\u1ed9t k\u00e9p t\u01b0\u01a1ng \u1ee9ng. Qu\u1ed1c gia Vi\u1ec7t Nam Th\u00e1i Lan Indonesia Philippines S\u1ed1 huy ch\u01b0\u01a1ng v\u00e0ng 205 ? ? 52 T\u1ed5ng s\u1ed1 huy ch\u01b0\u01a1ng ? 332 ? ? (S\u1ed1 huy S\u1ed1 huy ch\u01b0\u01a1ng c\u1ee7a b\u1ed1n qu\u1ed1c gia d\u1eabn \u0111\u1ea7u SEA Games 31 ch\u01b0\u01a1ng) S\u1ed1 huy ch\u01b0\u01a1ng v\u00e0ng T\u1ed5ng s\u1ed1 huy ch\u01b0\u01a1ng 500 446 450 400 ? 350 ? 241 ? 300 250 92 ? ? 200 150 Vi\u1ec7t Nam Th\u00e1i Lan Indonesia Philippines (Qu\u1ed1c gia) 100 50 0 \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 2: HS c\u00f3 c\u01a1 h\u1ed9i v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1eeba h\u1ecdc v\u00e0o th\u1ef1c t\u1ebf bi\u1ec3u di\u1ec5n d\u1eef li\u1ec7u th\u1ed1ng k\u00ea v\u1ec1 s\u1ed1 huy ch\u01b0\u01a1ng SEA Games t\u1eeb d\u1ea1ng b\u1ea3ng d\u1ecdc sang d\u1ea1ng b\u1ea3ng ngang v\u00e0 d\u1ea1ng bi\u1ec3u \u0111\u1ed3 c\u1ed9t k\u00e9p. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c V\u1eadn d\u1ee5ng 2: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. GV c\u00f3 th\u1ec3 cho HS ho\u1ea1t \u0111\u1ed9ng nh\u00f3m ho\u1eb7c thuy\u1ebft tr\u00ecnh. IV. H\u01b0\u1edbng d\u1eabn gi\u1ea3i c\u00e1c b\u00e0i t\u1eadp 1. \tC\u00f3 th\u1ec3 d\u00f9ng hai bi\u1ec3u \u0111\u1ed3 h\u00ecnh qu\u1ea1t tr\u00f2n ho\u1eb7c bi\u1ec3u \u0111\u1ed3 c\u1ed9t k\u00e9p. a) L\u1edbp 8B c\u00f3 t\u1ec9 l\u1ec7 h\u1ecdc sinh x\u1ebfp lo\u1ea1i h\u1ecdc t\u1eadp T\u1ed1t cao h\u01a1n l\u1edbp 8A. L\u1edbp 8A c\u00f3 t\u1ec9 l\u1ec7 h\u1ecdc sinh x\u1ebfp lo\u1ea1i h\u1ecdc t\u1eadp Ch\u01b0a \u0111\u1ea1t cao h\u01a1n l\u1edbp 8B. b) T\u1ed5ng s\u1ed1 h\u1ecdc sinh x\u1ebfp lo\u1ea1i h\u1ecdc t\u1eadp T\u1ed1t v\u00e0 Kh\u00e1 c\u1ee7a l\u1edbp 8B so v\u1edbi l\u1edbp 8A l\u00e0 60 .100% = 120% . 125 50","2. a) Th\u1eddi gian ch\u1ea1y (gi\u00e2y) 14 15 16 S\u1ed1 h\u1ecdc sinh 5 10 5 T\u1ec9 l\u1ec7 ph\u1ea7n tr\u0103m 25% 50% 25% b) Bi\u1ec3u \u0111\u1ed3 c\u1ed9t: Th\u1eddi gian ch\u1ea1y 100 m c\u1ee7a 20 h\u1ecdc sinh (S\u1ed1 h\u1ecdc 10 sinh) 55 12 14 gi\u00e2y 15 gi\u00e2y 16 gi\u00e2y (Th\u1eddi gian) 10 8 6 4 2 0 Bi\u1ec3u \u0111\u1ed3 h\u00ecnh qu\u1ea1t tr\u00f2n: T\u1ec9 l\u1ec7 ph\u1ea7n tr\u0103m th\u1eddi gian ch\u1ea1y 100 m c\u1ee7a 20 h\u1ecdc sinh 25% 25% 14 gi\u00e2y 50% 15 gi\u00e2y 16 gi\u00e2y 3. \ta) Ch\u01b0\u01a1ng tr\u00ecnh truy\u1ec1n h\u00ecnh Ki\u1ec3m \u0111\u1ebfm S\u1ed1 kh\u00e1n gi\u1ea3 ch\u1ecdn \u0111\u01b0\u1ee3c y\u00eau th\u00edch 8 A 8 12 B C 126","D 10 E6 G6 C\u00f3 th\u1ec3 d\u00f9ng bi\u1ec3u \u0111\u1ed3 c\u1ed9t ho\u1eb7c bi\u1ec3u \u0111\u1ed3 h\u00ecnh qu\u1ea1t tr\u00f2n \u0111\u1ec3 bi\u1ec3u di\u1ec5n. b) Ch\u01b0\u01a1ng tr\u00ecnh truy\u1ec1n h\u00ecnh \u0111\u01b0\u1ee3c y\u00eau th\u00edch nh\u1ea5t: C. c) Ch\u01b0\u01a1ng tr\u00ecnh truy\u1ec1n h\u00ecnh A, B \u0111\u01b0\u1ee3c y\u00eau th\u00edch ngang nhau; ch\u01b0\u01a1ng tr\u00ecnh truy\u1ec1n h\u00ecnh E, G \u0111\u01b0\u1ee3c y\u00eau th\u00edch ngang nhau. d) Bi\u1ec3u \u0111\u1ed3 bi\u1ec3u di\u1ec5n: (S\u1ed1 S\u1ed1 kh\u00e1n gi\u1ea3 ch\u1ecdn c\u00e1c ch\u01b0\u01a1ng tr\u00ecnh kh\u00e1n gi\u1ea3) truy\u1ec1n h\u00ecnh A, B, C, D, E, G 15 12 6 10 10 8 8 6 5 0A BC DE G (Ch\u01b0\u01a1ng tr\u00ecnh truy\u1ec1n h\u00ecnh) 6. a) P = 2 692; Q = 3 633; R = 2 501. b) x = 24%; y = 32%; z = 11%; t = 22%; m = 11%. c) Bi\u1ec3u \u0111\u1ed3 c\u1ed9t cho th\u1ea5y s\u1ef1 so s\u00e1nh h\u01a1n k\u00e9m tuy\u1ec7t \u0111\u1ed1i c\u1ee7a c\u00e1c d\u1eef li\u1ec7u. Bi\u1ec3u \u0111\u1ed3 qu\u1ea1t tr\u00f2n cho th\u1ea5y s\u1ef1 so s\u00e1nh h\u01a1n k\u00e9m t\u01b0\u01a1ng \u0111\u1ed1i c\u1ee7a c\u00e1c d\u1eef li\u1ec7u v\u00e0 t\u1ec9 l\u1ec7 ph\u1ea7n tr\u0103m c\u1ee7a m\u1ed7i d\u1eef li\u1ec7u so v\u1edbi to\u00e0n th\u1ec3. B\u00e0i 3. PH\u00c2N T\u00cdCH D\u1eee LI\u1ec6U I. M\u1ee5c ti\u00eau 1. Y\u00eau c\u1ea7u c\u00e2\u0300n \u0111a\u0323t: \u2013 Ph\u00e1t hi\u1ec7n \u0111\u01b0\u1ee3c v\u1ea5n \u0111\u1ec1 ho\u1eb7c quy lu\u1eadt \u0111\u01a1n gi\u1ea3n d\u1ef1a tr\u00ean ph\u00e2n t\u00edch c\u00e1c s\u1ed1 li\u1ec7u thu \u0111\u01b0\u1ee3c. \u2013 Gi\u1ea3i quy\u1ebft \u0111\u01b0\u1ee3c nh\u1eefng v\u1ea5n \u0111\u1ec1 \u0111\u01a1n gi\u1ea3n li\u00ean quan \u0111\u1ebfn c\u00e1c s\u1ed1 li\u1ec7u thu \u0111\u01b0\u1ee3c \u1edf d\u1ea1ng: b\u1ea3ng th\u1ed1ng k\u00ea; bi\u1ec3u \u0111\u1ed3 tranh; bi\u1ec3u \u0111\u1ed3 d\u1ea1ng c\u1ed9t\/c\u1ed9t k\u00e9p (column chart), bi\u1ec3u \u0111\u1ed3 h\u00ecnh qu\u1ea1t tr\u00f2n (pie chart); bi\u1ec3u \u0111\u1ed3 \u0111o\u1ea1n th\u1eb3ng (line graph). 127","\u2013 Nh\u1eadn bi\u1ebft \u0111\u01b0\u1ee3c m\u1ed1i li\u00ean h\u1ec7 gi\u1eefa th\u1ed1ng k\u00ea v\u1edbi nh\u1eefng ki\u1ebfn th\u1ee9c trong c\u00e1c m\u00f4n h\u1ecdc kh\u00e1c trong Ch\u01b0\u01a1ng tr\u00ecnh l\u1edbp 8 v\u00e0 trong th\u1ef1c ti\u1ec5n. 2. N\u0103ng l\u1ef1c ch\u00fa tr\u1ecdng: t\u01b0 duy v\u00e0 l\u1eadp lu\u1eadn to\u00e1n h\u1ecdc, m\u00f4 h\u00ecnh ho\u00e1 to\u00e1n h\u1ecdc, giao ti\u00ea\u0301p toa\u0301n ho\u0323c. 3. T\u00edch h\u1ee3p: To\u00e1n h\u1ecdc v\u00e0 cu\u1ed9c s\u1ed1ng, t\u00edch h\u1ee3p c\u00e1c m\u00f4n h\u1ecdc kh\u00e1c. II. M\u1ed9t s\u1ed1 ch\u00fa \u00fd 1. GV t\u1eadp trung h\u01b0\u1edbng d\u1eabn HS k\u0129 n\u0103ng ph\u00e2n t\u00edch c\u00e1c s\u1ed1 li\u1ec7u thu \u0111\u01b0\u1ee3c d\u01b0\u1edbi c\u00e1c d\u1ea1ng: b\u1ea3ng th\u1ed1ng k\u00ea; bi\u1ec3u \u0111\u1ed3 tranh; bi\u1ec3u \u0111\u1ed3 d\u1ea1ng c\u1ed9t\/c\u1ed9t k\u00e9p (column chart), bi\u1ec3u \u0111\u1ed3 h\u00ecnh qu\u1ea1t tr\u00f2n (pie chart); bi\u1ec3u \u0111\u1ed3 \u0111o\u1ea1n th\u1eb3ng (line graph). 2. C\u1ea7n ch\u00fa \u00fd c\u00e1c v\u1eadn d\u1ee5ng c\u00f3 t\u00ednh t\u00edch h\u1ee3p v\u1edbi c\u00e1c m\u00f4n h\u1ecdc kh\u00e1c nh\u01b0 L\u1ecbch s\u1eed v\u00e0 \u0110\u1ecba l\u00ed l\u1edbp 8, Khoa h\u1ecdc t\u1ef1 nhi\u00ean l\u1edbp 8, ... v\u00e0 trong th\u1ef1c ti\u1ec5n. III. G\u1ee3i \u00fd c\u00e1c ho\u1ea1t \u0111\u1ed9ng c\u1ee5 th\u1ec3 H\u0110K\u0110 B\u00e0 S\u00e1u \u0111\u00e3 ghi l\u1ea1i s\u1ed1 tr\u00e1i s\u1ea7u ri\u00eang b\u00e1n \u0111\u01b0\u1ee3c theo t\u1eebng th\u00e1ng trong n\u0103m tr\u01b0\u1edbc nh\u01b0 b\u1ea3ng sau: Th\u00e1ng 1 2 3 4 5 6 7 8 9 10 11 12 S\u1ed1 tr\u00e1i s\u1ea7u ri\u00eang 32 25 65 70 124 110 80 50 45 54 65 36 b\u00e1n \u0111\u01b0\u1ee3c T\u1eeb b\u1ea3ng tr\u00ean, b\u00e0 S\u00e1u nh\u1eadn \u0111\u1ecbnh r\u1eb1ng: H\u1eb1ng n\u0103m, s\u1ed1 tr\u00e1i s\u1ea7u ri\u00eang b\u00e1n \u0111\u01b0\u1ee3c v\u00e0o th\u00e1ng 5 v\u00e0 th\u00e1ng 6 nhi\u1ec1u h\u01a1n c\u00e1c th\u00e1ng c\u00f2n l\u1ea1i. Nh\u1edd v\u1eady, th\u00e1ng 5 n\u0103m nay b\u00e0 S\u00e1u nh\u1eadp s\u1ea7u ri\u00eang nhi\u1ec1u h\u01a1n v\u00e0 b\u00e1n \u0111\u01b0\u1ee3c nhi\u1ec1u h\u01a1n c\u00e1c n\u0103m qua. H\u00e3y th\u1ea3o lu\u1eadn nh\u00f3m \u0111\u1ec3 t\u00ecm hi\u1ec3u c\u00e1c l\u1ee3i \u00edch c\u1ee7a vi\u1ec7c ph\u00e2n t\u00edch d\u1eef li\u1ec7u th\u1ed1ng k\u00ea. \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a H\u0110K\u0110: Gi\u00fap HS co\u0301 c\u01a1 h\u00f4\u0323i tr\u1ea3i nghi\u1ec7m, tha\u0309o lu\u00e2\u0323n v\u1ec1 m\u1ee5c \u0111\u00edch c\u1ee7a ph\u00e2n t\u00edch d\u1eef li\u1ec7u th\u1ed1ng k\u00ea. C\u00e1ch \u0111\u1eb7t v\u1ea5n \u0111\u1ec1 n\u00e0y c\u00f3 kh\u1ea3 n\u0103ng thu h\u00fat HS v\u00e0o b\u00e0i h\u1ecdc. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110K\u0110: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV s\u1eed d\u1ee5ng c\u01a1 h\u1ed9i \u0111\u1ec3 gi\u1edbi thi\u1ec7u b\u00e0i. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: Ph\u00e2n t\u00edch d\u1eef li\u1ec7u th\u1ed1ng k\u00ea gi\u00fap ta ph\u00e1t hi\u1ec7n v\u1ea5n \u0111\u1ec1 v\u00e0 t\u00ecm \u0111\u01b0\u1ee3c c\u00e1ch gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 m\u1ed9t c\u00e1ch h\u1ee3p l\u00ed theo s\u1ed1 li\u1ec7u th\u1ed1ng k\u00ea. L\u01b0u \u00fd: \u0110\u00e2y l\u00e0 c\u00e2u h\u1ecfi m\u1edf, t\u1ea1o s\u1ef1 ch\u00fa \u00fd v\u00e0 k\u1ebft n\u1ed1i. GV kh\u00f4ng c\u1ea7n \u0111\u00e1nh gi\u00e1 c\u00e2u tr\u1ea3 l\u1eddi c\u1ee7a HS \u0111\u00fang hay sai. Tinh th\u1ea7n chung c\u1ee7a H\u0110K\u0110 l\u00e0: \u201cM\u1ecdi c\u00e2u tr\u1ea3 l\u1eddi \u0111\u1ec1u \u0111\u01b0\u1ee3c ghi nh\u1eadn, mu\u1ed1n bi\u1ebft \u0111\u00fang \u2013 sai, h\u1ecdc xong b\u00e0i n\u00e0y s\u1ebd r\u00f5!\u201d 128","1. Ph\u00e1t hi\u1ec7n v\u1ea5n \u0111\u1ec1 qua ph\u00e2n t\u00edch d\u1eef li\u1ec7u th\u1ed1ng k\u00ea H\u0110KP 1 \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a H\u0110KP 1: Gi\u00fap HS co\u0301 c\u01a1 h\u00f4\u0323i tr\u1ea3i nghi\u1ec7m, tha\u0309o lu\u00e2\u0323n v\u1ec1 ph\u00e2n t\u00edch s\u1ed1 li\u1ec7u th\u1ed1ng k\u00ea \u0111\u1ec3 t\u00ecm ki\u1ebfm th\u00f4ng tin mong mu\u1ed1n. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110KP 1: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. Th\u1ef1c h\u00e0nh 1. H\u00e3y ph\u00e2n t\u00edch b\u1ea3ng th\u1ed1ng k\u00ea \u1edf 1 v\u00e0 cho bi\u1ebft m\u00f4n th\u1ec3 thao n\u00e0o c\u00f3 t\u1ec9 l\u1ec7 s\u1ed1 h\u1ecdc sinh n\u1eef ch\u1ecdn so v\u1edbi s\u1ed1 h\u1ecdc sinh nam ch\u1ecdn cao nh\u1ea5t. M\u1ee5c \u0111\u00edch c\u1ee7a Th\u1ef1c h\u00e0nh 1: HS th\u01b0\u0323c ha\u0300nh ph\u00e2n t\u00edch s\u1ed1 li\u1ec7u th\u1ed1ng k\u00ea \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t. V\u1eadn d\u1ee5ng 1. Ph\u00e2n t\u00edch bi\u1ec3u \u0111\u1ed3 th\u1ed1ng k\u00ea b\u00ean d\u01b0\u01a1\u0301i v\u00e0 cho bi\u1ebft: \u2013 M\u00f4n th\u1ec3 thao \u0111\u01b0\u1ee3c y\u00eau th\u00edch nh\u1ea5t c\u1ee7a h\u1ecdc sinh kh\u1ed1i 8. \u2013 T\u1ec9 l\u1ec7 h\u1ecdc sinh y\u00eau th\u00edch m\u00f4n b\u00f3ng \u0111\u00e1 so v\u1edbi c\u00e1c m\u00f4n th\u1ec3 thao c\u00f2n l\u1ea1i c\u1ee7a h\u1ecdc sinh kh\u1ed1i 8. T\u1ec9 l\u1ec7 ph\u1ea7n tr\u0103m h\u1ecdc sinh kh\u1ed1i 8 ch\u1ecdn m\u00f4n th\u1ec3 thao y\u00eau th\u00edch nh\u1ea5t 19% 47% B\u00f3ng \u0111\u00e1 17% B\u00f3ng chuy\u1ec1n B\u00f3ng b\u00e0n 17% C\u1ea7u l\u00f4ng 129","\u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 1: HS c\u00f3 c\u01a1 h\u1ed9i v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1eeba h\u1ecdc v\u00e0o th\u1ef1c t\u1ebf, ph\u00e2n t\u00edch bi\u1ec3u \u0111\u1ed3 th\u1ed1ng k\u00ea v\u1ec1 t\u1ec9 l\u1ec7 ph\u1ea7n tr\u0103m h\u1ecdc sinh kh\u1ed1i 8 ch\u1ecdn m\u00f4n th\u1ec3 thao y\u00eau th\u00edch nh\u1ea5t. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c V\u1eadn d\u1ee5ng 1: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. GV c\u00f3 th\u1ec3 cho HS ho\u1ea1t \u0111\u1ed9ng nh\u00f3m ho\u1eb7c thuy\u1ebft tr\u00ecnh. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: \u2013 M\u00f4n th\u1ec3 thao \u0111\u01b0\u1ee3c y\u00eau th\u00edch nh\u1ea5t c\u1ee7a h\u1ecdc sinh kh\u1ed1i 8: B\u00f3ng \u0111\u00e1 (47%). \u2013 So s\u00e1nh t\u1ec9 l\u1ec7 h\u1ecdc sinh y\u00eau th\u00edch b\u00f3ng \u0111\u00e1 so v\u1edbi c\u00e1c m\u00f4n th\u1ec3 thao c\u00f2n l\u1ea1i: M\u00f4n th\u1ec3 thao B\u00f3ng chuy\u1ec1n B\u00f3ng b\u00e0n C\u1ea7u l\u00f4ng T\u1ec9 l\u1ec7 h\u1ecdc sinh y\u00eau th\u00edch 2,8 2,8 2,5 b\u00f3ng \u0111\u00e1 so v\u1edbi c\u00e1c m\u00f4n th\u1ec3 thao c\u00f2n l\u1ea1i 2. Gi\u1ea3i quy\u1ebft c\u00e1c v\u1ea5n \u0111\u1ec1 qua ph\u00e2n t\u00edch bi\u1ec3u \u0111\u1ed3 th\u1ed1ng k\u00ea H\u0110KP 2 \u2013 Mu\u0323c \u0111i\u0301ch cu\u0309a H\u0110KP 2: Gi\u00fap HS l\u00e0m quen v\u1edbi vi\u1ec7c ra quy\u1ebft \u0111\u1ecbnh th\u00f4ng qua th\u1ef1c t\u1ebf ph\u00e2n t\u00edch d\u1eef li\u1ec7u t\u1eeb bi\u1ec3u \u0111\u1ed3 c\u1ed9t k\u00e9p, so s\u00e1nh k\u1ebft qu\u1ea3 c\u1ee7a vi\u1ec7c h\u1ecdc c\u00f3 v\u00e0 ch\u01b0a c\u00f3 \u00e1p d\u1ee5ng ph\u01b0\u01a1ng ph\u00e1p gi\u00e1o d\u1ee5c STEM. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110KP 2: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: Theo bi\u1ec3u \u0111\u1ed3 c\u1ed9t k\u00e9p ta th\u1ea5y k\u1ebft qu\u1ea3 c\u1ee7a th\u00e1ng th\u1ef1c hi\u1ec7n gi\u00e1o d\u1ee5c STEM t\u1ed1t h\u01a1n khi ch\u01b0a \u00e1p d\u1ee5ng. V\u1eady GV n\u00ean ti\u1ebfp t\u1ee5c th\u1ef1c hi\u1ec7n gi\u00e1o d\u1ee5c STEM. 130","Th\u1ef1c h\u00e0nh 2. S\u00f4\u0301 l\u01b0\u01a1\u0323ng gio\u0309 tra\u0301i c\u00e2y ba\u0301n \u0111\u01b0\u01a1\u0323c trong mu\u0300a he\u0300 v\u01b0\u0300a qua c\u1ee7a s\u00e1u c\u01b0\u0309a ha\u0300ng \u0111\u01b0\u01a1\u0323c bi\u00ea\u0309u di\u00ea\u0303n trong bi\u00ea\u0309u \u0111\u00f4\u0300 sau: C\u1eeda h\u00e0ng S\u1ed1 gi\u1ecf tr\u00e1i c\u00e2y b\u00e1n \u0111\u01b0\u1ee3c B\u1ed1n M\u00f9a T\u01b0\u01a1i Xanh Mi\u1ec7t V\u01b0\u1eddn Ph\u00f9 Sa Xanh S\u1ea1ch Qu\u1ea3 Ng\u1ecdt ( = 100 gi\u1ecf tr\u00e1i c\u00e2y; = 50 gi\u1ecf tr\u00e1i c\u00e2y) Trong t\u00ecnh hu\u1ed1ng nh\u1eefng c\u1eeda h\u00e0ng b\u00e1n \u0111\u01b0\u1ee3c d\u01b0\u1edbi 200 gi\u1ecf tr\u00e1i c\u00e2y bu\u1ed9c ph\u1ea3i \u0111\u00f3ng c\u1eeda ho\u1eb7c chuy\u1ec3n sang kinh doanh m\u1eb7t h\u00e0ng kh\u00e1c, em h\u00e3y cho bi\u1ebft \u0111\u00f3 c\u00f3 th\u1ec3 l\u00e0 c\u1eeda h\u00e0ng n\u00e0o. \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a Th\u1ef1c h\u00e0nh 2: HS th\u01b0\u0323c ha\u0300nh s\u1eed d\u1ee5ng d\u1eef li\u1ec7u th\u1ed1ng k\u00ea trong vi\u1ec7c l\u1ef1a ch\u1ecdn \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c Th\u1ef1c h\u00e0nh 2: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. GV c\u00f3 th\u1ec3 cho th\u1ea3o lu\u1eadn theo nh\u00f3m v\u00e0 b\u00e1o c\u00e1o k\u1ebft qu\u1ea3. V\u1eadn d\u1ee5ng 2. Trong t\u00ecnh hu\u1ed1ng c\u1ee7a Th\u1ef1c h\u00e0nh 2, c\u00f3 th\u00eam th\u00f4ng tin cho bi\u1ebft nh\u1eefng c\u1eeda h\u00e0ng b\u00e1n \u0111\u01b0\u1ee3c t\u1eeb 500 gi\u1ecf tr\u00e1i c\u00e2y tr\u1edf l\u00ean d\u1ef1 \u0111\u1ecbnh s\u1ebd \u0111\u1ea7u t\u01b0 x\u00e2y m\u1ed9t nh\u00e0 kho ba\u0309o qua\u0309n. Em h\u00e3y cho bi\u1ebft \u0111\u00f3 c\u00f3 th\u1ec3 l\u00e0 nh\u1eefng c\u1eeda h\u00e0ng n\u00e0o. \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 2: HS c\u00f3 c\u01a1 h\u1ed9i v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1eeba h\u1ecdc v\u00e0o vi\u1ec7c ph\u00e2n t\u00edch b\u1ea3ng th\u1ed1ng k\u00ea \u0111\u1ec3 h\u1ed7 \u0111\u00e1nh gi\u00e1 trong th\u1ef1c t\u1ebf s\u1ea3n xu\u1ea5t ho\u1eb7c kinh doanh. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c V\u1eadn d\u1ee5ng 2: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. GV c\u00f3 th\u1ec3 cho HS ho\u1ea1t \u0111\u1ed9ng nh\u00f3m ho\u1eb7c thuy\u1ebft tr\u00ecnh. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: C\u1eeda h\u00e0ng B\u1ed1n M\u00f9a (650) v\u00e0 c\u1eeda h\u00e0ng Qu\u1ea3 Ng\u1ecdt (600). 131","IV. H\u01b0\u1edbng d\u1eabn gi\u1ea3i c\u00e1c b\u00e0i t\u1eadp 1. \ta) S\u1ed1 h\u1ecdc sinh b\u00ecnh qu\u00e2n tr\u00ean m\u1ed9t gi\u00e1o vi\u00ean: 17, 5 \u2248 21. 0, 818 b) S\u1ed1 h\u1ecdc sinh b\u00ecnh qu\u00e2n trong m\u1ed9t l\u1edbp: 17,5 \u2248 34. 0, 5116 2. \tCh\u1ee7 c\u1eeda h\u00e0ng n\u00ean \u0111\u1eb7t h\u00e0ng th\u00eam xe \u0111\u1ea1p m\u00e0u xanh d\u01b0\u01a1ng v\u00ec theo b\u1ea3ng th\u1ed1ng k\u00ea, xe \u0111\u1ea1p m\u00e0u xanh d\u01b0\u01a1ng c\u00f3 t\u1ec9 l\u1ec7 ph\u1ea7n tr\u0103m b\u00e1n \u0111\u01b0\u1ee3c cao nh\u1ea5t. 3. \ta) X\u00e3 B c\u00f3 nhi\u1ec1u m\u00e1y c\u00e0y nh\u1ea5t. X\u00e3 E c\u00f3 \u00edt m\u00e1y c\u00e0y nh\u1ea5t. b) C\u00f3 th\u1ec3 l\u00e0 hai x\u00e3 B v\u00e0 C v\u00ec hai x\u00e3 n\u00e0y c\u00f3 tr\u00ean 20 m\u00e1y c\u00e0y. 4. \tT\u1eeb bi\u1ec3u \u0111\u1ed3 \u0111\u00e3 cho, ta l\u1eadp \u0111\u01b0\u1ee3c b\u1ea3ng th\u1ed1ng k\u00ea sau: Lo\u1ea1i \u0111\u1ed3ng h\u1ed3 ABCDE T\u1ec9 l\u1ec7 \u0111\u1ed3ng h\u1ed3 b\u1ecb th\u1ea5m n\u01b0\u1edbc so 0,2 0,27 0,125 0,4 0,133 v\u1edbi s\u1ed1 \u0111\u1ed3ng h\u1ed3 \u0111\u01b0\u1ee3c ki\u1ec3m tra Ph\u00e2n t\u00edch s\u1ed1 li\u1ec7u c\u1ee7a b\u1ea3ng th\u1ed1ng k\u00ea ta c\u00f3 th\u1ec3 d\u1ef1 \u0111o\u00e1n lo\u1ea1i \u0111\u1ed3ng h\u1ed3 C ch\u1ed1ng th\u1ea5m n\u01b0\u1edbc t\u1ed1t nh\u1ea5t. 5. \tBi\u1ec3u \u0111\u1ed3 tr\u00ean cho th\u1ea5y t\u1ed5ng s\u1ed1 xe \u0111\u1ea1p \u0111i\u1ec7n v\u00e0 xe \u0111\u1ea1p th\u01b0\u1eddng l\u00e0 180 xe. Do s\u1ed1 xe h\u1ecdc sinh g\u1eedi \u0111\u00e3 v\u01b0\u1ee3t qu\u00e1 s\u1ee9c ch\u1ee9a c\u1ee7a b\u00e3i xe n\u00ean nh\u00e0 tr\u01b0\u1eddng c\u1ea7n b\u1ed1 tr\u00ed th\u00eam ch\u1ed7 \u0111\u1ec3 xe cho h\u1ecdc sinh. 6. \tPh\u00e2n t\u00edch bi\u1ec3u \u0111\u1ed3 \u0111\u00e3 cho ta c\u00f3 b\u1ea3ng th\u1ed1ng k\u00ea sau: Ng\u00e0y trong th\u00e1ng 2\/2021 18 19 20 21 22 23 24 Nhi\u1ec7t \u0111\u1ed9 cao nh\u1ea5t t\u1ea1i H\u00e0 N\u1ed9i 20 23 25 25 26 25 25 Nhi\u1ec7t \u0111\u1ed9 cao nh\u1ea5t t\u1ea1i TP HCM 30 31 31 30 31 31 32 Nhi\u1ec7t \u0111\u1ed9 ch\u00eanh l\u1ec7ch 10 8 6 5 5 6 7 Ph\u00e2n t\u00edch b\u1ea3ng th\u1ed1ng k\u00ea v\u1eeba l\u1eadp ta th\u1ea5y ng\u00e0y 18\/02\/2021 nhi\u1ec7t \u0111\u1ed9 cao nh\u1ea5t t\u1ea1i H\u00e0 N\u1ed9i v\u00e0 Th\u00e0nh ph\u1ed1 H\u1ed3 Ch\u00ed Minh c\u00f3 ch\u00eanh l\u1ec7ch nhi\u1ec1u nh\u1ea5t; ng\u00e0y 21\/02\/2021 v\u00e0 ng\u00e0y 22\/02\/2021 nhi\u1ec7t \u0111\u1ed9 cao nh\u1ea5t t\u1ea1i H\u00e0 N\u1ed9i v\u00e0 Th\u00e0nh ph\u1ed1 H\u1ed3 Ch\u00ed Minh c\u00f3 ch\u00eanh l\u1ec7ch \u00edt nh\u1ea5t. 132","B\u00c0I T\u1eacP CU\u1ed0I CH\u01af\u01a0NG 4 C\u00c2U H\u1eceI TR\u1eaeC NGHI\u1ec6M 1. B\t\t\t\t\t2. D\t\t\t\t3. A\t\t\t\t4. D\t\t\t\t5. C\t\t\t\t6. A B\u00c0I T\u1eacP T\u1ef0 LU\u1eacN 7. \ta) L\u1eadp phi\u1ebfu th\u0103m d\u00f2, ph\u1ecfng v\u1ea5n. b) L\u00e0m th\u00ed nghi\u1ec7m. c) Tham kh\u1ea3o t\u1eeb c\u00e1c ngu\u1ed3n c\u00f3 s\u1eb5n nh\u01b0 s\u00e1ch, b\u00e1o, Internet. d) Tham kh\u1ea3o t\u1eeb c\u00e1c ngu\u1ed3n c\u00f3 s\u1eb5n nh\u01b0 s\u00e1ch, b\u00e1o, Internet. 8. \ta) Kh\u00f4ng h\u1ee3p l\u00ed, v\u00ec c\u00f3 88 kh\u00e1ch h\u00e0ng ch\u1ecdn c\u00e1c nh\u00e3n hi\u1ec7u kh\u00e1c v\u1edbi I. b) Kh\u00f4ng h\u1ee3p l\u00ed, v\u00ec nh\u00e3n hi\u1ec7u I c\u00f3 s\u1ed1 l\u1ef1a ch\u1ecdn th\u1ea5p nh\u1ea5t. 9. \tK\u1ebft lu\u1eadn b) l\u00e0 h\u1ee3p l\u00ed. 10. Ng\u00e0y trong tu\u1ea7n Th\u1eddi gian t\u1ef1 h\u1ecdc t\u1ea1i nh\u00e0 c\u1ee7a T\u00fa (ph\u00fat) Th\u1ee9 Hai 60 Th\u1ee9 Ba 75 Th\u1ee9 T\u01b0 100 Th\u1ee9 N\u0103m 120 Th\u1ee9 S\u00e1u 80 Th\u1ee9 B\u1ea3y 85 Ch\u1ee7 Nh\u1eadt 45 Th\u1eddi gian t\u1ef1 h\u1ecdc t\u1ea1i nh\u00e0 c\u1ee7a T\u00fa (S\u1ed1 ph\u00fat) 140 120 120 100 100 80 85 80 60 75 60 45 40 20 0 Th\u1ee9 Hai Th\u1ee9 Ba Th\u1ee9 T\u01b0 Th\u1ee9 N\u0103m Th\u1ee9 S\u00e1u Th\u1ee9 B\u1ea3y Ch\u1ee7 nh\u1eadt (Ng\u00e0y trong tu\u1ea7n) 133","11. Th\u1ed1ng k\u00ea m\u00f4n th\u1ec3 thao \u01b0a th\u00edch nh\u1ea5t c\u1ee7a h\u1ecdc sinh l\u1edbp 8B. T\u1ec9 l\u1ec7 ph\u1ea7n tr\u0103m h\u1ecdc sinh l\u1edbp 8B ch\u1ecdn m\u00f4n th\u1ec3 thao \u01b0a th\u00edch nh\u1ea5t 19% 47% B\u00f3ng \u0111\u00e1 17% B\u00f3ng chuy\u1ec1n B\u00f3ng b\u00e0n 17% C\u1ea7u l\u00f4ng 12. \ta) Trong c\u00e1c tuy\u1ebfn \u0111i t\u1eeb \u0111\u1ecba \u0111i\u1ec3m IV, tuy\u1ebfn t\u1eeb IV \u0111\u1ebfn V c\u00f3 gi\u00e1 v\u00e9 th\u1ea5p nh\u1ea5t. \t b) H\u00e0nh kh\u00e1ch t\u1eeb \u0111i\u1ec3m II \u0111i \u0111\u1ebfn \u0111i\u1ec3m IV c\u00f3 gi\u00e1 v\u00e9 cao nh\u1ea5t. 13. \ta) Ho\u1ea1t \u0111\u1ed9ng t\u1ea1i ch\u1ed7 (\u0111\u1ecdc s\u00e1ch, \u00f4n b\u00e0i, ch\u01a1i c\u1edd vua) c\u00f3 28 b\u1ea1n. \t\t\t Ho\u1ea1t \u0111\u1ed9ng v\u1eadn \u0111\u1ed9ng (\u0111\u00e1nh c\u1ea7u l\u00f4ng, \u0111\u00e1 c\u1ea7u, nh\u1ea3y d\u00e2y) c\u00f3 14 b\u1ea1n. \t\t\t V\u1eady s\u1ed1 b\u1ea1n ho\u1ea1t \u0111\u1ed9ng t\u1ea1i ch\u1ed7 nhi\u1ec1u g\u1ea5p \u0111\u00f4i s\u1ed1 b\u1ea1n ho\u1ea1t \u0111\u1ed9ng v\u1eadn \u0111\u1ed9ng. \t\tb) C\u00e1c b\u1ea1n l\u1edbp 8C n\u00ean t\u0103ng c\u01b0\u1eddng c\u00e1c ho\u1ea1t \u0111\u1ed9ng v\u1eadn \u0111\u1ed9ng \u0111\u1ec3 c\u00f3 l\u1ee3i cho s\u1ee9c kh\u1ecfe. 14. \ta) Bi\u1ec3u \u0111\u1ed3 c\u1ed9t k\u00e9p th\u00edch h\u1ee3p \u0111\u1ec3 bi\u1ec3u di\u1ec5n gi\u00e1 tr\u1ecb (tri\u1ec7u USD) xu\u1ea5t kh\u1ea9u c\u00e0 ph\u00ea v\u00e0 g\u1ea1o c\u1ee7a Vi\u1ec7t Nam trong c\u00e1c n\u0103m 2015, 2018, 2019, 2020. \t\tb) N\u0103m 2018 v\u00e0 2019 gi\u00e1 tr\u1ecb xu\u1ea5t kh\u1ea9u c\u00e0 ph\u00ea v\u01b0\u1ee3t gi\u00e1 tr\u1ecb xu\u1ea5t kh\u1ea9u g\u1ea1o. 15. \ta) 1959 1969 1979 1989 1999 2009 2019 2,98 3,63 4,38 5,24 6 6,87 7,71 N\u0103m D\u00e2n s\u1ed1 (t\u1ec9 ng\u01b0\u1eddi) \t b) Th\u1eadp k\u1ec9 1960 \u2013 1969 1970 \u2013 1979 1980 \u2013 1989 1990 \u2013 1999 2000 \u2013 2009 2010 \u2013 2019 D\u00e2n s\u1ed1 t\u0103ng th\u00eam 0,65 0,75 0,86 0,76 0,87 0,84 (t\u1ec9 ng\u01b0\u1eddi) \t c) Th\u1eadp k\u1ec9 1960 \u2013 1969 c\u00f3 d\u00e2n s\u1ed1 t\u0103ng \u00edt nh\u1ea5t. Th\u1eadp k\u1ec9 2000 \u2013 2009 c\u00f3 d\u00e2n s\u1ed1 t\u0103ng nhi\u1ec1u nh\u1ea5t. 134","ho\u1ea1t \u0111\u1ed9ng th\u1ef1c h\u00e0nh v\u00e0 tr\u1ea3i nghi\u1ec7m A. M\u1ee4C TI\u00caU 1. N\u0103ng l\u01b0\u0323c chuy\u00ean m\u00f4n \u2013 V\u1eadn d\u1ee5ng c\u00e1c ki\u1ebfn th\u1ee9c v\u00e0 k\u0129 n\u0103ng \u0111\u1ec3 gi\u1ea3i quy\u1ebft m\u1ed9t s\u1ed1 v\u1ea5n \u0111\u1ec1 th\u1ef1c ti\u1ec5n. \u2013 Th\u1ef1c h\u00e0nh t\u00edch h\u1ee3p n\u1ed9i m\u00f4n ba m\u1ea1ch To\u00e1n h\u1ecdc: S\u1ed1 v\u00e0 \u0110\u1ea1i s\u1ed1; H\u00ecnh h\u1ecdc v\u00e0 \u0110o l\u01b0\u1eddng; Th\u1ed1ng k\u00ea v\u00e0 X\u00e1c su\u1ea5t. \u2013 Th\u1ef1c h\u00e0nh t\u00edch h\u1ee3p li\u00ean m\u00f4n gi\u1eefa To\u00e1n h\u1ecdc v\u1edbi c\u00e1c m\u00f4n Khoa h\u1ecdc t\u1ef1 nhi\u00ean v\u00e0 Khoa h\u1ecdc x\u00e3 h\u1ed9i. \u2013 Th\u1ef1c h\u00e0nh gi\u00e1o d\u1ee5c STEM trong tr\u1ea3i nghi\u1ec7m To\u00e1n. 2. N\u0103ng l\u01b0\u0323c chung \u2013 N\u0103ng l\u01b0\u0323c t\u01b0\u0323 chu\u0309 va\u0300 t\u01b0\u0323 ho\u0323c trong ti\u0300m to\u0300i, kha\u0301m pha\u0301. \u2013 N\u0103ng l\u01b0\u0323c giao ti\u00ea\u0301p va\u0300 h\u01a1\u0323p ta\u0301c trong tri\u0300nh ba\u0300y, tha\u0309o lu\u00e2\u0323n va\u0300 la\u0300m vi\u00ea\u0323c nho\u0301m. \u2013 N\u0103ng l\u01b0\u0323c gia\u0309i quy\u00ea\u0301t v\u00e2\u0301n \u0111\u00ea\u0300 va\u0300 sa\u0301ng ta\u0323o trong th\u01b0\u0323c ha\u0300nh va\u0300 v\u00e2\u0323n du\u0323ng. 3. Hi\u0300nh tha\u0300nh ca\u0301c ph\u00e2\u0309m ch\u00e2\u0301t \u2013 Y\u00eau n\u01b0\u01a1\u0301c, nh\u00e2n \u00e1i. \u2013 Ch\u0103m chi\u0309, trung th\u01b0\u0323c, tra\u0301ch nhi\u00ea\u0323m. B. H\u01af\u1edaNG D\u1eaaN D\u1ea0Y H\u1eccC Ho\u1ea1t \u0111\u1ed9ng 1. D\u00d9NG V\u1eacT LI\u1ec6U T\u00c1I CH\u1ebe G\u1ea4P H\u1ed8P QU\u00c0 T\u1eb6NG I. M\u1ee5c ti\u00eau 1. Y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t: \u2013 V\u1eadn d\u1ee5ng \u0111\u01b0\u01a1\u0323c ki\u1ebfn th\u1ee9c v\u1ec1 h\u00ecnh ch\u00f3p \u0111\u1ec1u \u0111\u1ec3 g\u1ea5p \u0111\u01b0\u1ee3c c\u00e1c h\u1ed9p h\u00ecnh ch\u00f3p tam gi\u00e1c \u0111\u1ec1u v\u00e0 h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u b\u1eb1ng c\u00e1c t\u1ea5m b\u00eca t\u00e1i ch\u1ebf. \u2013 V\u1eadn d\u1ee5ng \u0111\u01b0\u01a1\u0323c ki\u1ebfn th\u1ee9c h\u00ecnh kh\u1ed1i tr\u1ef1c quan v\u00e0o th\u1ef1c ti\u1ec5n l\u00e0m s\u1ea3n ph\u1ea9m STEM. 2. N\u0103ng l\u1ef1c ch\u00fa tr\u1ecdng: t\u01b0 duy v\u00e0 l\u1eadp lu\u1eadn to\u00e1n h\u1ecdc, gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 to\u00e1n h\u1ecdc, giao ti\u1ebfp to\u00e1n h\u1ecdc. 3. T\u00edch h\u1ee3p: To\u00e1n h\u1ecdc v\u00e0 cu\u1ed9c s\u1ed1ng. II. Chu\u1ea9n b\u1ecb \u2013 S\u00e1ch gi\u00e1o khoa To\u00e1n 8, t\u1eadp m\u1ed9t. \u2013 D\u1ee5ng c\u1ee5 h\u1ecdc t\u1eadp th\u00f4ng th\u01b0\u1eddng. \u2013 Gi\u1ea5y b\u00eca c\u0169, ch\u00ec m\u00e0u. 135","III. T\u1ed5 ch\u1ee9c ho\u1ea1t \u0111\u1ed9ng 1. H\u01b0\u1edbng d\u1eabn c\u00e1ch l\u00e0m a) N\u1ed9i dung nhi\u1ec7m v\u1ee5: \u2013 V\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1ec1 h\u00ecnh ch\u00f3p tam gi\u00e1c \u0111\u1ec1u, h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u \u0111\u1ec3 v\u1ebd, c\u1eaft, g\u1ea5p v\u00e0 x\u1ebfp h\u00ecnh. \u2013 T\u00f4 m\u00e0u trang tr\u00ed c\u00e1c m\u1eb7t c\u1ee7a kh\u1ed1i. b) Bi\u1ec7n ph\u00e1p ki\u1ec3m tra HS hi\u1ec3u r\u00f5 nhi\u1ec7m v\u1ee5: \u2013 Y\u00eau c\u1ea7u \u0111\u1ea1i di\u1ec7n nh\u00f3m nh\u1eafc l\u1ea1i t\u00f3m t\u1eaft n\u1ed9i dung c\u1ee7a SGK v\u00e0 c\u00e1c ki\u1ebfn th\u1ee9c \u0111\u00e3 h\u1ecdc c\u00f3 li\u00ean quan \u0111\u1ebfn h\u00ecnh ch\u00f3p tam gi\u00e1c \u0111\u1ec1u, h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u nh\u01b0 m\u1eb7t \u0111\u00e1y, m\u1eb7t b\u00ean, c\u1ea1nh b\u00ean, c\u1ea1nh \u0111\u00e1y, \u2026 \u2013 GV \u0111i\u1ec1u ch\u1ec9nh, b\u1ed5 sung c\u00e1c thi\u1ebfu s\u00f3t. 2. T\u1ed5 ch\u1ee9c th\u1ef1c hi\u1ec7n a) b) c) d) H\u00ecnh 1 a) HS th\u1ef1c hi\u1ec7n: \u2013 V\u1ebd v\u00e0 c\u1eaft theo g\u1ee3i \u00fd c\u1ee7a SGK. \u2013 C\u1eaft, g\u1ea5p v\u00e0 d\u00e1n. \u2013 T\u00f4 m\u00e0u, trang tr\u00ed c\u00e1c m\u1eb7t. b) GV h\u1ed7 tr\u1ee3 (kh\u1eafc ph\u1ee5c kh\u00f3 kh\u0103n HS d\u1ef1 ki\u1ebfn s\u1ebd g\u1eb7p): GV ki\u1ec3m tra c\u00e1c h\u00ecnh. 136","3. Ki\u1ec3m tra \u0111\u00e1nh gi\u00e1 a) GV d\u1ef1 ki\u1ebfn m\u1ee9c \u0111\u1ed9 ho\u00e0n th\u00e0nh c\u1ee7a HS: M\u1ee9c \u0111\u1ed9 N\u1ed9i dung ho\u00e0n th\u00e0nh T\u1ed1t \u2013 V\u1ebd, c\u1eaft, g\u1ea5p, x\u1ebfp v\u00e0 d\u00e1n nhanh g\u1ecdn, ch\u00ednh x\u00e1c. \u2013 T\u1ea1o l\u1eadp \u0111\u01b0\u1ee3c h\u00ecnh ch\u00f3p tam gi\u00e1c v\u00e0 h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u. \u2013 T\u00f4 m\u00e0u, trang tr\u00ed c\u00e1c m\u1eb7t \u0111\u1eb9p, h\u00e0i ho\u00e0. \u2013 Th\u1ef1c hi\u1ec7n \u0111\u01b0\u1ee3c vi\u1ec7c v\u1ebd, c\u1eaft, g\u1ea5p, x\u1ebfp v\u00e0 d\u00e1n. \u0110\u1ea1t \u2013 T\u1ea1o l\u1eadp \u0111\u01b0\u1ee3c h\u00ecnh ch\u00f3p tam gi\u00e1c \u0111\u1ec1u v\u00e0 h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u. \u2013 C\u00f3 t\u00f4 m\u00e0u v\u00e0 trang tr\u00ed. Ch\u01b0a \u0111\u1ea1t \u2013 Thi\u1ebfu m\u1ed9t trong c\u00e1c n\u1ed9i dung c\u1ee7a m\u1ee9c \u0111\u1ed9 \u0110\u1ea1t. b) GV h\u01b0\u1edbng d\u1eabn b\u00e1o c\u00e1o, th\u1ea3o lu\u1eadn: Gi\u1ea3i ph\u00e1p l\u1ef1a ch\u1ecdn nh\u00f3m HS b\u00e1o c\u00e1o: \u0110\u1ea1i di\u1ec7n c\u00e1c nh\u00f3m l\u1ea7n l\u01b0\u1ee3t l\u00ean b\u00e1o c\u00e1o. HS b\u00e1o c\u00e1o th\u1ea3o lu\u1eadn: Thuy\u1ebft tr\u00ecnh tr\u01b0\u1edbc l\u1edbp v\u1edbi s\u1ea3n ph\u1ea9m k\u00e8m theo. 4. K\u1ebft lu\u1eadn, nh\u1eadn \u0111\u1ecbnh a) Ph\u00e2n t\u00edch s\u1ea3n ph\u1ea9m: GV ph\u00e2n t\u00edch d\u1ef1a theo b\u1ea3ng ti\u00eau ch\u00ed \u0111\u00e3 thi\u1ebft l\u1eadp. b) \u0110\u00e1nh gi\u00e1 c\u00e1c m\u1ee9c \u0111\u1ed9 ho\u00e0n th\u00e0nh c\u1ee7a HS: GV \u0111\u00e1nh gi\u00e1 d\u1ef1a theo b\u1ea3ng ti\u00eau ch\u00ed. c) \u0110\u1ec1 xu\u1ea5t ph\u00e1t tri\u1ec3n: D\u00f9ng Internet t\u00ecm hi\u1ec3u th\u00eam c\u00e1c c\u00e1ch kh\u00e1c \u0111\u1ec3 t\u1ea1o l\u1eadp v\u00e0 trang tr\u00ed h\u00ecnh ch\u00f3p tam gi\u00e1c \u0111\u1ec1u ho\u1eb7c h\u00ecnh ch\u00f3p t\u1ee9 gi\u00e1c \u0111\u1ec1u. Ho\u1ea1t \u0111\u1ed9ng 2. L\u00c0M TRANH TREO T\u01af\u1edcNG MINH HO\u1ea0 C\u00c1C LO\u1ea0I H\u00ccNH T\u1ee8 GI\u00c1C \u0110\u1eb6C BI\u1ec6T I. M\u1ee5c ti\u00eau 1. Y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t: \u2013 V\u1eadn d\u1ee5ng \u0111\u01b0\u01a1\u0323c c\u00e1c ki\u1ebfn th\u1ee9c v\u1ec1 t\u1ee9 gi\u00e1c \u0111\u1ec3 l\u00e0m tranh treo t\u01b0\u1eddng minh ho\u1ea1 c\u00e1c lo\u1ea1i t\u1ee9 gi\u00e1c \u0111\u1eb7c bi\u1ec7t. \u2013 N\u00eau \u0111\u01b0\u1ee3c \u0111\u1ecbnh ngh\u0129a ch\u00ednh x\u00e1c v\u1ec1 c\u00e1c h\u00ecnh t\u1ee9 gi\u00e1c \u0111\u1eb7c bi\u1ec7t khi minh ho\u1ea1 tranh \u0111\u1ec3 ph\u1ee5c v\u1ee5 cho vi\u1ec7c \u00f4n t\u1eadp. 2. N\u0103ng l\u1ef1c ch\u00fa tr\u1ecdng: t\u01b0 duy v\u00e0 l\u1eadp lu\u1eadn to\u00e1n h\u1ecdc, gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 to\u00e1n h\u1ecdc, giao ti\u1ebfp to\u00e1n h\u1ecdc. 3. T\u00edch h\u1ee3p: To\u00e1n h\u1ecdc v\u00e0 cu\u1ed9c s\u1ed1ng. 137","II. Chu\u1ea9n b\u1ecb \u2013 S\u00e1ch gi\u00e1o khoa To\u00e1n 8, t\u1eadp m\u1ed9t. \u2013 D\u1ee5ng c\u1ee5 h\u1ecdc t\u1eadp th\u00f4ng th\u01b0\u1eddng. \u2013 M\u00e1y t\u00ednh c\u00e1 nh\u00e2n c\u00f3 k\u1ebft n\u1ed1i m\u1ea1ng Internet, ti vi ho\u1eb7c m\u00e1y chi\u1ebfu, ph\u1ea7n m\u1ec1m GeoGebra. \u2013 Gi\u1ea5y b\u00eca, ch\u00ec m\u00e0u. III. T\u1ed5 ch\u1ee9c ho\u1ea1t \u0111\u1ed9ng 1. H\u01b0\u1edbng d\u1eabn c\u00e1ch l\u00e0m a) N\u1ed9i dung nhi\u1ec7m v\u1ee5: \u2013 N\u1eafm v\u1eefng c\u00e1c \u0111\u1ecbnh ngh\u0129a c\u1ee7a c\u00e1c t\u1ee9 gi\u00e1c \u0111\u1eb7c bi\u1ec7t. \u2013 Gh\u00e9p \u0111\u01b0\u1ee3c c\u00e1c \u00f4 c\u00f3 s\u1eb5n \u0111\u1ec3 t\u1ea1o l\u1eadp c\u00e1c t\u1ee9 gi\u00e1c \u0111\u1eb7c bi\u1ec7t. \u2013 T\u00f4 m\u00e0u trang tr\u00ed c\u00e1c h\u00ecnh t\u1ea1o \u0111\u01b0\u1ee3c. b) Bi\u1ec7n ph\u00e1p ki\u1ec3m tra HS hi\u1ec3u r\u00f5 nhi\u1ec7m v\u1ee5: \u2013 Y\u00eau c\u1ea7u \u0111\u1ea1i di\u1ec7n nh\u00f3m nh\u1eafc l\u1ea1i t\u00f3m t\u1eaft n\u1ed9i dung c\u1ee7a SGK v\u00e0 c\u00e1c ki\u1ebfn th\u1ee9c \u0111\u00e3 h\u1ecdc c\u00f3 li\u00ean quan \u0111\u1ebfn c\u00e1c t\u1ee9 gi\u00e1c \u0111\u1eb7c bi\u1ec7t. \u2013 GV \u0111i\u1ec1u ch\u1ec9nh, b\u1ed5 sung c\u00e1c thi\u1ebfu s\u00f3t. 2. T\u1ed5 ch\u1ee9c th\u1ef1c hi\u1ec7n T\u00ean \u0110\u1ecbnh ngh\u0129a H\u00ecnh T\u1ee9 gi\u00e1c c\u00f3 hai c\u1ea1nh \u0111\u1ed1i song song thang c\u00e2n v\u00e0 hai g\u00f3c k\u1ec1 m\u1ed9t \u0111\u00e1y b\u1eb1ng nhau. H\u00ecnh T\u1ee9 gi\u00e1c c\u00f3 c\u00e1c c\u1ea1nh \u0111\u1ed1i song song. b\u00ecnh h\u00e0nh H\u00ecnh thoi T\u1ee9 gi\u00e1c c\u00f3 b\u1ed1n c\u1ea1nh b\u1eb1ng nhau. H\u00ecnh T\u1ee9 gi\u00e1c c\u00f3 b\u1ed1n g\u00f3c vu\u00f4ng. ch\u1eef nh\u1eadt H\u00ecnh T\u1ee9 gi\u00e1c c\u00f3 b\u1ed1n g\u00f3c vu\u00f4ng v\u00e0 b\u1ed1n c\u1ea1nh vu\u00f4ng b\u1eb1ng nhau. a) HS th\u1ef1c hi\u1ec7n: \u2013 V\u1ebd c\u00e1c \u0111\u01b0\u1eddng bi\u00ean \u0111\u1ec3 t\u1ea1o l\u1eadp \u0111\u1ee7 c\u00e1c t\u1ee9 gi\u00e1c \u0111\u1eb7c bi\u1ec7t \u0111\u00e3 h\u1ecdc. \u2013 Nh\u1eadn d\u1ea1ng v\u00e0 t\u00f4 m\u00e0u. \u2013 Ghi ch\u00fa c\u00e1c \u0111\u1ecbnh ngh\u0129a. 138","b) GV h\u1ed7 tr\u1ee3 (kh\u1eafc ph\u1ee5c kh\u00f3 kh\u0103n HS d\u1ef1 ki\u1ebfn s\u1ebd g\u1eb7p): GV ki\u1ec3m tra s\u1ea3n ph\u1ea9m, gi\u1ea3i th\u00edch v\u00e0 h\u01b0\u1edbng d\u1eabn c\u00e1ch b\u1ed5 sung c\u00e1c h\u00ecnh t\u1ee9 gi\u00e1c c\u00f2n thi\u1ebfu. 3. Ki\u1ec3m tra \u0111\u00e1nh gi\u00e1 a) GV d\u1ef1 ki\u1ebfn m\u1ee9c \u0111\u1ed9 ho\u00e0n th\u00e0nh c\u1ee7a HS: M\u1ee9c \u0111\u1ed9 N\u1ed9i dung ho\u00e0n th\u00e0nh T\u1ed1t \u2013 Ph\u00e2n c\u00f4ng trong t\u1ed5, nh\u00f3m h\u1ee3p l\u00ed. \u0110\u1ea1t \u2013 V\u1ebd \u0111\u01b0\u1ee3c \u0111\u01b0\u1ee3c \u0111\u1ea7y \u0111\u1ee7 v\u00e0 ch\u00ednh x\u00e1c c\u00e1c t\u1ee9 gi\u00e1c \u0111\u1eb7c bi\u1ec7t. Ch\u01b0a \u0111\u1ea1t \u2013 T\u00f4 m\u00e0u trang tr\u00ed c\u00e1c h\u00ecnh t\u1ee9 gi\u00e1c m\u1ed9t c\u00e1ch s\u00e1ng t\u1ea1o, h\u00e0i ho\u00e0. \u2013 C\u00f3 ph\u00e2n c\u00f4ng nhi\u1ec7m v\u1ee5 trong t\u1ed5 ho\u1eb7c nh\u00f3m. \u2013 V\u1ebd \u0111\u01b0\u1ee3c \u0111\u00fang \u0111a s\u1ed1 c\u00e1c h\u00ecnh t\u1ee9 gi\u00e1c \u0111\u1eb7c bi\u1ec7t. \u2013 C\u00f3 t\u00f4 m\u00e0u c\u00e1c h\u00ecnh v\u1ebd \u0111\u01b0\u1ee3c. \u2013 Thi\u1ebfu m\u1ed9t trong c\u00e1c n\u1ed9i dung c\u1ee7a m\u1ee9c \u0111\u1ed9 \u0110\u1ea1t. b) GV h\u01b0\u1edbng d\u1eabn b\u00e1o c\u00e1o, th\u1ea3o lu\u1eadn: \u2013 Gi\u1ea3i ph\u00e1p l\u1ef1a ch\u1ecdn nh\u00f3m HS b\u00e1o c\u00e1o: \u0110\u1ea1i di\u1ec7n c\u00e1c nh\u00f3m l\u1ea7n l\u01b0\u1ee3t l\u00ean b\u00e1o c\u00e1o. \u2013 HS b\u00e1o c\u00e1o th\u1ea3o lu\u1eadn: Thuy\u1ebft tr\u00ecnh tr\u01b0\u1edbc l\u1edbp v\u1edbi s\u1ea3n ph\u1ea9m k\u00e8m theo. 4. K\u1ebft lu\u1eadn, nh\u1eadn \u0111\u1ecbnh a) Ph\u00e2n t\u00edch s\u1ea3n ph\u1ea9m: GV ph\u00e2n t\u00edch d\u1ef1a theo b\u1ea3ng ti\u00eau ch\u00ed \u0111\u00e3 thi\u1ebft l\u1eadp. b) \u0110\u00e1nh gi\u00e1 c\u00e1c m\u1ee9c \u0111\u1ed9 ho\u00e0n th\u00e0nh c\u1ee7a HS: GV \u0111\u00e1nh gi\u00e1 d\u1ef1a theo b\u1ea3ng ti\u00eau ch\u00ed. c) \u0110\u1ec1 xu\u1ea5t ph\u00e1t tri\u1ec3n: S\u1eed d\u1ee5ng Internet \u0111\u1ec3 t\u00ecm hi\u1ec3u th\u00eam c\u00e1c m\u1eabu h\u00ecnh, ph\u1ea7n m\u1ec1m GeoGebra \u0111\u1ec3 s\u00e1ng t\u1ea1o th\u00eam c\u00e1c m\u1eabu kh\u00e1c v\u1edbi m\u1eabu h\u00ecnh \u0111\u00e3 c\u00f3 trong SGK. 139","Ho\u1ea1t \u0111\u1ed9ng 3. THI\u1ebeT L\u1eacP K\u1ebe HO\u1ea0CH CHO M\u1ed8T M\u1ee4C TI\u00caU TI\u1ebeT KI\u1ec6M I. M\u1ee5c ti\u00eau 1. Y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t: \u2013 V\u1eadn d\u1ee5ng \u0111\u01b0\u01a1\u0323c ki\u1ebfn th\u1ee9c v\u1ec1 th\u1ed1ng k\u00ea \u0111\u1ec3 l\u1eadp k\u1ebf ho\u1ea1ch t\u00e0i ch\u00ednh nh\u1eb1m \u0111\u1ea1t m\u1ed9t m\u1ee5c ti\u00eau ti\u1ebft ki\u1ec7m c\u1ee7a l\u1edbp. \u2013 S\u1eed d\u1ee5ng bi\u1ec3u \u0111\u1ed3 v\u00e0 b\u1ea3ng s\u1ed1 li\u1ec7u nh\u1eb1m tr\u00ecnh b\u00e0y k\u1ebf ho\u1ea1ch m\u1ed9t c\u00e1ch khoa h\u1ecdc v\u00e0 thuy\u1ebft ph\u1ee5c. 2. N\u0103ng l\u1ef1c ch\u00fa tr\u1ecdng: t\u01b0 duy v\u00e0 l\u1eadp lu\u1eadn to\u00e1n h\u1ecdc, m\u00f4 h\u00ecnh ho\u00e1 to\u00e1n h\u1ecdc, gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 to\u00e1n h\u1ecdc, giao ti\u1ebfp to\u00e1n h\u1ecdc, s\u1eed d\u1ee5ng c\u00f4ng c\u1ee5, ph\u01b0\u01a1ng ti\u1ec7n to\u00e1n h\u1ecdc. 3. T\u00edch h\u1ee3p: To\u00e1n h\u1ecdc v\u00e0 cu\u1ed9c s\u1ed1ng. II. Chu\u1ea9n b\u1ecb \u2013 S\u00e1ch gi\u00e1o khoa To\u00e1n 8, t\u1eadp m\u1ed9t. \u2013 D\u1ee5ng c\u1ee5 h\u1ecdc t\u1eadp th\u00f4ng th\u01b0\u1eddng. \u2013 M\u00e1y t\u00ednh c\u1ea7m tay. \u2013 M\u00e1y t\u00ednh c\u00e1 nh\u00e2n c\u00f3 k\u1ebft n\u1ed1i m\u1ea1ng Internet, ti vi ho\u1eb7c m\u00e1y chi\u1ebfu, ph\u1ea7n m\u1ec1m Word ho\u1eb7c Excel. III. T\u1ed5 ch\u1ee9c ho\u1ea1t \u0111\u1ed9ng 1. H\u01b0\u1edbng d\u1eabn c\u00e1ch l\u00e0m Th\u00e1ng S\u1ed1 S\u1ed1 ti\u1ec1n ti\u1ebft ki\u1ec7m S\u1ed1 ti\u1ec1n c\u00f3 \u0111\u01b0\u1ee3c t\u00ednh ng\u00e0y trong th\u00e1ng \u0111\u1ebfn cu\u1ed1i th\u00e1ng (\u0111\u1ed3ng) (\u0111\u1ed3ng) 11 30 20 000 . 30 = 600 000 600 000 12 31 20 000 . 31 = 620 000 1 220 000 1 31 20 000 . 31 = 620 000 1 840 000 2 28 20 000 . 28 = 560 000 2 400 000 3 31 20 000 . 31 = 620 000 3 020 000 4 30 20 000 . 30 = 600 000 3 620 000 5 31 20 000 . 31 = 620 000 4 240 000 140","a) N\u1ed9i dung nhi\u1ec7m v\u1ee5: \u2013 Nh\u00f3m tr\u01b0\u1edfng l\u1ea5y \u00fd ki\u1ebfn v\u1ec1 m\u1ee5c \u0111\u00edch ti\u1ebft ki\u1ec7m. \u2013 Ph\u00e2n c\u00f4ng t\u00ednh to\u00e1n, l\u1eadp b\u1ea3ng th\u1ed1ng k\u00ea, v\u1ebd bi\u1ec3u \u0111\u1ed3 bi\u1ec3u di\u1ec5n v\u00e0 v\u1ebd kh\u1ea9u hi\u1ec7u. \u2013 T\u00f4 m\u00e0u trang tr\u00ed c\u00e1c bi\u1ec3u \u0111\u1ed3, kh\u1ea9u hi\u1ec7u. b) Bi\u1ec7n ph\u00e1p ki\u1ec3m tra HS hi\u1ec3u r\u00f5 nhi\u1ec7m v\u1ee5: \u2013 Y\u00eau c\u1ea7u \u0111\u1ea1i di\u1ec7n nh\u00f3m nh\u1eafc l\u1ea1i t\u00f3m t\u1eaft n\u1ed9i dung c\u1ee7a SGK v\u00e0 c\u00e1c ki\u1ebfn th\u1ee9c \u0111\u00e3 h\u1ecdc c\u00f3 li\u00ean quan \u0111\u1ebfn ph\u00e2n lo\u1ea1i bi\u1ec3u \u0111\u1ed3 v\u00e0 ph\u00e2n lo\u1ea1i d\u1eef li\u1ec7u. \u2013 GV \u0111i\u1ec1u ch\u1ec9nh, b\u1ed5 sung c\u00e1c thi\u1ebfu s\u00f3t. 2. T\u1ed5 ch\u1ee9c th\u1ef1c hi\u1ec7n K\u00ea\u0301 hoa\u0323ch ti\u00ea\u0301t ki\u00ea\u0323m cu\u0309a nho\u0301m 1 l\u01a1\u0301p 8A (\u0111\u1ed3ng) 5 000 000 4 240 000 4 000 000 3 000 000 3 620 000 2 000 000 1 000 000 3 020 000 0 2 400 000 1 840 000 1 220 000 600 000 11 12 1 2 3 4 5 (Th\u00e1ng) S\u1ed1 ti\u1ec1n c\u00f3 \u0111\u01b0\u1ee3c t\u00ednh \u0111\u1ebfn cu\u1ed1i th\u00e1ng a) HS th\u1ef1c hi\u1ec7n: \u2013 X\u00e2y d\u1ef1ng m\u1ee5c ti\u00eau c\u1ee7a nh\u00f3m. \u2013 T\u00ednh to\u00e1n, l\u1eadp b\u1ea3ng th\u1ed1ng k\u00ea, v\u1ebd bi\u1ec3u \u0111\u1ed3 bi\u1ec3u di\u1ec5n. \u2013 S\u00e1ng t\u1ea1o c\u00e1c kh\u1ea9u hi\u1ec7u k\u00eau g\u1ecdi ph\u00f9 h\u1ee3p v\u1edbi m\u1ee5c ti\u00eau ti\u1ebft ki\u1ec7m c\u1ee7a nh\u00f3m. L\u1edcI K\u00caU G\u1eccI B\u1ea2O TR\u1ee2 TR\u1eba EM M\u1ed2 C\u00d4I b) GV h\u1ed7 tr\u1ee3 (kh\u1eafc ph\u1ee5c kh\u00f3 kh\u0103n HS d\u1ef1 ki\u1ebfn s\u1ebd g\u1eb7p): GV ki\u1ec3m tra c\u00e1c b\u1ea3ng th\u1ed1ng k\u00ea v\u00e0 h\u01b0\u1edbng d\u1eabn c\u00e1ch v\u1ebd bi\u1ec3u \u0111\u1ed3 bi\u1ec3u di\u1ec5n. 141","3. Ki\u1ec3m tra \u0111\u00e1nh gi\u00e1 a) GV d\u1ef1 ki\u1ebfn m\u1ee9c \u0111\u1ed9 ho\u00e0n th\u00e0nh c\u1ee7a HS: M\u1ee9c \u0111\u1ed9 N\u1ed9i dung ho\u00e0n th\u00e0nh \u2013 T\u00ecm \u0111\u01b0\u1ee3c m\u1ee5c ti\u00eau ti\u1ebft ki\u1ec7m hay v\u00e0 ph\u00f9 h\u1ee3p. T\u1ed1t \u2013 L\u1eadp b\u1ea3ng th\u1ed1ng k\u00ea v\u00e0 bi\u1ec3u \u0111\u1ed3 bi\u1ec3u di\u1ec5n ch\u00ednh x\u00e1c. \u2013 T\u00f4 m\u00e0u trang tr\u00ed kh\u1ea9u hi\u1ec7u \u0111\u1eb9p, h\u00e0i ho\u00e0. \u2013 C\u00f3 m\u1ee5c ti\u00eau ti\u1ebft ki\u1ec7m h\u1ee3p l\u00ed. \u0110\u1ea1t \u2013 C\u00f3 b\u1ea3ng th\u1ed1ng k\u00ea v\u00e0 bi\u1ec3u \u0111\u1ed3 bi\u1ec3u di\u1ec5n t\u01b0\u01a1ng \u0111\u1ed1i ch\u00ednh x\u00e1c. \u2013 C\u00f3 m\u00e0u trang tr\u00ed kh\u1ea9u hi\u1ec7u. Ch\u01b0a \u0111\u1ea1t \u2013 Thi\u1ebfu m\u1ed9t trong c\u00e1c n\u1ed9i dung c\u1ee7a m\u1ee9c \u0111\u1ed9 \u0110\u1ea1t. b) GV h\u01b0\u1edbng d\u1eabn b\u00e1o c\u00e1o, th\u1ea3o lu\u1eadn: \u2013 Gi\u1ea3i ph\u00e1p l\u1ef1a ch\u1ecdn nh\u00f3m HS b\u00e1o c\u00e1o: \u0110\u1ea1i di\u1ec7n c\u00e1c nh\u00f3m l\u1ea7n l\u01b0\u1ee3t l\u00ean b\u00e1o c\u00e1o. \u2013 HS b\u00e1o c\u00e1o th\u1ea3o lu\u1eadn: Thuy\u1ebft tr\u00ecnh tr\u01b0\u1edbc l\u1edbp v\u1edbi s\u1ea3n ph\u1ea9m k\u00e8m theo. 4. K\u1ebft lu\u1eadn, nh\u1eadn \u0111\u1ecbnh a) Ph\u00e2n t\u00edch s\u1ea3n ph\u1ea9m: GV ph\u00e2n t\u00edch d\u1ef1a theo b\u1ea3ng ti\u00eau ch\u00ed \u0111\u00e3 thi\u1ebft l\u1eadp. b) \u0110\u00e1nh gi\u00e1 c\u00e1c m\u1ee9c \u0111\u1ed9 ho\u00e0n th\u00e0nh c\u1ee7a HS: GV \u0111\u00e1nh gi\u00e1 d\u1ef1a theo b\u1ea3ng ti\u00eau ch\u00ed. c) \u0110\u1ec1 xu\u1ea5t ph\u00e1t tri\u1ec3n: S\u1eed d\u1ee5ng Internet t\u00ecm hi\u1ec3u th\u00eam c\u00e1c \u00fd t\u01b0\u1edfng, kh\u1ea9u hi\u1ec7u v\u00e0 m\u1ee5c ti\u00eau ti\u1ebft ki\u1ec7m phong ph\u00fa h\u01a1n. 142","Ph\u1ea7n S\u1ed0 V\u00c0 \u0110\u1ea0I S\u1ed0 Ch\u01b0\u01a1ng 5 H\u00c0M S\u1ed0 V\u00c0 \u0110\u1ed2 TH\u1eca A. M\u1ee4C TI\u00caU 1. N\u0103ng l\u01b0\u0323c chuy\u00ean m\u00f4n H\u00e0m s\u1ed1 v\u00e0 \u0111\u1ed3 th\u1ecb: \u2013 Nh\u1eadn bi\u1ebft \u0111\u01b0\u1ee3c nh\u1eefng m\u00f4 h\u00ecnh th\u1ef1c t\u1ebf d\u1eabn \u0111\u1ebfn kh\u00e1i ni\u1ec7m h\u00e0m s\u1ed1. \u2013 T\u00ednh \u0111\u01b0\u1ee3c gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 khi h\u00e0m s\u1ed1 \u0111\u00f3 x\u00e1c \u0111\u1ecbnh b\u1edfi c\u00f4ng th\u1ee9c. \u2013 X\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c to\u1ea1 \u0111\u1ed9 c\u1ee7a m\u1ed9t \u0111i\u1ec3m tr\u00ean m\u1eb7t ph\u1eb3ng to\u1ea1 \u0111\u1ed9, x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c m\u1ed9t \u0111i\u1ec3m tr\u00ean m\u1eb7t ph\u1eb3ng to\u1ea1 \u0111\u1ed9 khi bi\u1ebft to\u1ea1 \u0111\u1ed9 c\u1ee7a n\u00f3. \u2013 Nh\u1eadn bi\u1ebft \u0111\u01b0\u1ee3c \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1, \u0111\u1ecdc \u0111\u01b0\u1ee3c gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1. H\u00e0m s\u1ed1 b\u1eadc nh\u1ea5t y = ax + b (a \u2260 0) v\u00e0 \u0111\u1ed3 th\u1ecb: \u2013 Thi\u00ea\u0301t l\u1eadp \u0111\u01b0\u01a1\u0323c b\u1ea3ng gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc nh\u1ea5t, v\u1ebd \u0111\u01b0\u01a1\u0323c \u0111\u1ed3 th\u1ecb c\u1ee7a h\u00e0m s\u1ed1 b\u1eadc nh\u1ea5t, v\u00e2\u0323n du\u0323ng \u0111\u01b0\u1ee3c h\u00e0m s\u1ed1 b\u1eadc nh\u1ea5t v\u00e0 \u0111\u1ed3 th\u1ecb va\u0300o gia\u0309i quy\u00ea\u0301t m\u1ed9t s\u1ed1 b\u00e0i toa\u0301n th\u01b0\u0323c ti\u00ea\u0303n. H\u1ec7 s\u1ed1 g\u00f3c c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng y = ax + b (a \u2260 0): \u2013 Nh\u1eadn bi\u1ebft \u0111\u01b0\u1ee3c kh\u00e1i ni\u1ec7m h\u1ec7 s\u1ed1 g\u00f3c c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng y = ax + b (a \u2260 0), s\u1eed d\u1ee5ng \u0111\u01b0\u1ee3c h\u1ec7 s\u1ed1 g\u00f3c c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u1ec3 nh\u1eadn bi\u1ebft v\u00e0 gi\u1ea3i th\u00edch \u0111\u01b0\u01a1\u0323c s\u1ef1 c\u1eaft nhau ho\u1eb7c song song c\u1ee7a hai \u0111\u01b0\u1eddng th\u1eb3ng cho tr\u01b0\u1edbc. 2. N\u0103ng l\u01b0\u0323c chung \u2013 N\u0103ng l\u01b0\u0323c t\u01b0\u0323 chu\u0309 va\u0300 t\u01b0\u0323 ho\u0323c trong ti\u0300m to\u0300i, kha\u0301m pha\u0301. \u2013 N\u0103ng l\u01b0\u0323c giao ti\u00ea\u0301p va\u0300 h\u01a1\u0323p ta\u0301c trong tri\u0300nh ba\u0300y, tha\u0309o lu\u00e2\u0323n va\u0300 la\u0300m vi\u00ea\u0323c nho\u0301m. \u2013 N\u0103ng l\u01b0\u0323c gia\u0309i quy\u00ea\u0301t v\u00e2\u0301n \u0111\u00ea\u0300 va\u0300 sa\u0301ng ta\u0323o trong th\u01b0\u0323c ha\u0300nh va\u0300 v\u00e2\u0323n du\u0323ng. 3. Hi\u0300nh tha\u0300nh ca\u0301c ph\u00e2\u0309m ch\u00e2\u0301t \u2013 Y\u00eau n\u01b0\u01a1\u0301c, nh\u00e2n \u00e1i. \u2013 Ch\u0103m chi\u0309, trung th\u01b0\u0323c, tra\u0301ch nhi\u00ea\u0323m. B. H\u01af\u1edaNG D\u1eaaN D\u1ea0Y H\u1eccC I. M\u1ee5c ti\u00eau B\u00e0i 1. KH\u00c1I NI\u1ec6M H\u00c0M S\u1ed0 1. Y\u00eau c\u1ea7u c\u00e2\u0300n \u0111a\u0323t: \u2013 Nh\u1eadn bi\u1ebft \u0111\u01b0\u1ee3c nh\u1eefng m\u00f4 h\u00ecnh th\u1ef1c t\u1ebf d\u1eabn \u0111\u1ebfn kh\u00e1i ni\u1ec7m h\u00e0m s\u1ed1. \u2013 T\u00ednh \u0111\u01b0\u1ee3c gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 khi h\u00e0m s\u1ed1 \u0111\u00f3 x\u00e1c \u0111\u1ecbnh b\u1edfi c\u00f4ng th\u1ee9c. 2. N\u0103ng l\u1ef1c ch\u00fa tr\u1ecdng: t\u01b0 duy v\u00e0 l\u1eadp lu\u1eadn to\u00e1n h\u1ecdc, m\u00f4 h\u00ecnh ho\u00e1 to\u00e1n h\u1ecdc, giao ti\u00ea\u0301p toa\u0301n ho\u0323c. 3. T\u00edch h\u1ee3p: To\u00e1n h\u1ecdc v\u00e0 cu\u1ed9c s\u1ed1ng, t\u00edch h\u1ee3p c\u00e1c m\u00f4n h\u1ecdc kh\u00e1c. 143","II. M\u1ed9t s\u1ed1 ch\u00fa \u00fd 1. GV c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng b\u1ea3ng th\u1ed1ng k\u00ea, bi\u1ec3u \u0111\u1ed3 c\u1ed9t, bi\u1ec3u \u0111\u1ed3 \u0111o\u1ea1n th\u1eb3ng \u0111\u1ec3 minh ho\u1ea1 t\u00ednh ch\u1ea5t t\u01b0\u01a1ng \u1ee9ng gi\u1eefa hai \u0111\u1ea1i l\u01b0\u1ee3ng x v\u00e0 y \u0111\u1ec3 gi\u00fap HS l\u00e0m quen v\u1edbi kh\u00e1i ni\u1ec7m h\u00e0m s\u1ed1. 2. GV c\u1ea7n t\u1ea1o c\u01a1 h\u1ed9i gi\u00fap HS nh\u1eadn bi\u1ebft c\u00e1ch s\u1eed d\u1ee5ng ng\u00f4n ng\u1eef h\u00e0m s\u1ed1 y = f(x) trong di\u1ec5n \u0111\u1ea1t. III. G\u1ee3i \u00fd c\u00e1c ho\u1ea1t \u0111\u1ed9ng c\u1ee5 th\u1ec3 H\u0110K\u0110 S\u1ed1 li\u1ec7u v\u1ec1 l\u01b0\u1ee3ng m\u01b0a M (mm) trong 7 th\u00e1ng m\u00f9a m\u01b0a c\u1ee7a th\u00e0nh ph\u1ed1 \u0110\u00e0 L\u1ea1t n\u0103m 2020 \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n theo s\u1ed1 n ch\u1ec9 th\u00e1ng trong bi\u1ec3u \u0111\u1ed3 d\u01b0\u01a1\u0301i \u0111\u00e2y. L\u01b0\u1ee3ng m\u01b0a c\u1ee7a th\u00e0nh ph\u1ed1 \u0110\u00e0 L\u1ea1t trong 7 th\u00e1ng m\u00f9a m\u01b0a n\u0103m 2020 (mm) B\u00e0i KH\u00c1I NI\u1ec6M H\u00c0M S\u1ed0400 343,6 319,9 276,6 377,8 288,7 200 134,5 1 155,4 0 S5\u1ed1 li\u1ec7u v6\u1ec1 l\u01b0\u1ee3n7g m\u01b0a 8M (mm9) trong107 th\u00e1n11g m(T\u00f9h\u00e1anmg) \u01b0a c\u1ee7a th\u00e0nh ph\u1ed1 \u0110\u00e0 L\u1ea1t n\u0103m 2020 \u0111\u01b0\u1ee3c bi\u1ec3u d(iN\u1ec5nguth\u1ed3eno: Ts\u1ed5\u1ed1nng cc\u1ee5hc\u1ec9 tThh\u00e1\u1ed1nnggtkro\u00ea)ng bi\u1ec3u \u0111\u1ed3 Quan s\u00e1t bi\u1ec3ud\u01b0\u0111\u01a1\u1ed3\u0301i v\u0111\u00e0\u00e2yc.ho bi\u1ebft l\u01b0\u1ee3ng m\u01b0a \u1edf m\u1ed7i th\u00e1ng l\u00e0 bao nhi\u00eau. L\u01b0\u1ee3ng m\u01b0a c\u1ee7a th\u00e0nh ph\u1ed1 \u0110\u00e0 L\u1ea1t \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a H\u0110K\u0110: Gi\u00fap HS co\u0301 c\u01a1trohn\u00f4g\u0323i7ttrh\u1ea3\u00e1innggmh\u00f9ia\u1ec7mm\u01b0,athna\u0103\u0309mo 2lu02\u00e2\u03230n v\u1ec1 t\u00ednh t\u01b0\u01a1ng \u1ee9ng d\u1eab(mnm)\u0111\u1ebfn gi\u1eefa hai \u0111\u1ea1i l\u01b0\u1ee3ng, t\u00ecnh hu\u1ed1ng kh\u00e1i ni\u1ec7m h\u00e0m s\u1ed1. C\u00e1c3h77\u0111,8\u1eb7t v\u1ea5n \u0111\u1ec1 n\u00e0y c\u00f3 kh\u1ea3 n\u0103ng thu h\u00fat HS v\u00e0o b\u00e0i h\u1ecdc. 400 343,6 319,9 276,6 288,7 \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110K\u0110: GV2n00\u00eau c13\u00e24u,5h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV 1s5\u1eed5,4d\u1ee5ng c\u01a1 h\u1ed9i \u0111\u1ec3 gi\u1edbi thi\u1ec7u b\u00e0i. 0 L\u01b0u \u00fd: \u0110\u00e2y l\u00e0 c\u00e2u h\u1ecfi m\u1edf, t\u1ea1o s\u1ef1 ch5\u00fa \u00fd v6\u00e0 k\u1ebft n7\u1ed1i. G8V kh\u00f49ng c\u1ea71n0 \u0111\u00e1n1h1 g(iT\u00e1h\u00e1cng\u00e2)u tr\u1ea3 l\u1eddi c\u1ee7a HS \u0111\u00fang hay sai. Tinh th\u1ea7n chung c\u1ee7a H\u0110K\u0110 l\u00e0: \u201cM\u1ecdi c\u00e2u (tNr\u1ea3gul\u1edd\u1ed3in\u0111: T\u1ec1\u1ed5ung\u0111\u01b0c\u1ee5\u1ee3ccTghh\u1ed1ni gnhk\u00ea\u1ead)n, mu\u1ed1n bi\u1ebft \u0111\u00fang \u2013 sai, h\u1ecdcQxuoanngs\u00e1bt\u00e0biin\u1ec3u\u00e0y\u0111\u1ed3s\u1ebdv\u00e0r\u00f5c!h\u201do. bi\u1ebft l\u01b0\u1ee3ng m\u01b0a \u1edf m\u1ed7i th\u00e1ng l\u00e0 bao nhi\u00eau? 1. Kh\u00e1i ni\u1ec7m h\u00e0m s\u1ed1 H1.\u0110KKPH\u00c11 I NI\u1ec6M H\u00c0M S\u1ed0 1 a) Nhi\u1ec7t \u0111\u1ed9 c\u01a1 th\u00ea\u0309 d (oC) c\u1ee7a b\u1ec7nh nh\u00e2n theo th\u1eddi gian h (gi\u1edd) trong ng\u00e0y \u0111\u01b0\u1ee3c ghi trong b\u1ea3ng sau: h (gi\u1edd) 7 8 9 10 11 12 13 14 15 d (oC) 36 37 36 37 38 37 38 39 39 \u1ee8ng v\u1edbi m\u1ed7i gi\u1edd em \u0111\u1ecdc \u0111\u01b0\u1ee3c bao nhi\u00eau s\u1ed1 ch\u1ec9 nhi\u1ec7t \u0111\u1ed9? b) Th\u1eddi gian t (gi\u1edd) \u0111\u00ea\u0309 m\u1ed9t v\u1eadt chuy\u00ea\u0309n \u0111\u1ed9ng \u0111\u1ec1u \u0111i h\u1ebft qu\u00e3ng \u0111\u01b0\u1eddng 180 km t\u1ec9 l\u1ec7 ngh\u1ecbch 180 144 v\u1edbi v\u1eadn t\u1ed1c v (km\/h) c\u1ee7a n\u00f3 theo c\u00f4ng th\u1ee9c: t = v . T\u00ednh v\u00e0 l\u1eadp b\u1ea3ng c\u00e1c gi\u00e1 tr\u1ecb t\u01b0\u01a1ng \u1ee9ng c\u1ee7a t khi v l\u1ea7n l\u01b0\u1ee3t b\u1eb1ng 10; 20; 30; 60; 180. \u1ee8ng v\u1edbi m\u1ed7i gi\u00e1 tr\u1ecb c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng v em t\u00ednh \u0111\u01b0\u1ee3c bao nhi\u00eau gi\u00e1 tr\u1ecb c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng t?","h (gi\u1edd) 7 8 9 10 11 12 13 14 15 d (oC) 36 37 36 37 38 37 38 39 39 \u1ee8ng v\u1edbi m\u1ed7i gi\u1edd em \u0111\u1ecdc \u0111\u01b0\u1ee3c bao nhi\u00eau s\u1ed1 ch\u1ec9 nhi\u1ec7t \u0111\u1ed9? b) Th\u1eddi gian t (gi\u1edd) \u0111\u00ea\u0309 m\u1ed9t v\u1eadt chuy\u00ea\u0309n \u0111\u1ed9ng \u0111\u1ec1u \u0111i h\u1ebft qu\u00e3ng \u0111\u01b0\u1eddng 180 km t\u1ec9 l\u1ec7 ngh\u1ecbch 180 v\u1edbi v\u1eadn t\u1ed1c v (km\/h) c\u1ee7a n\u00f3 theo c\u00f4ng th\u1ee9c: t = v . T\u00ednh v\u00e0 l\u1eadp b\u1ea3ng c\u00e1c gi\u00e1 tr\u1ecb t\u01b0\u01a1ng \u1ee9ng c\u1ee7a t khi v l\u1ea7n l\u01b0\u1ee3t b\u1eb1ng 10; 20; 30; 60; 180. \u1ee8ng v\u1edbi m\u1ed7i gi\u00e1 tr\u1ecb c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng v em t\u00ednh \u0111\u01b0\u1ee3c bao nhi\u00eau gi\u00e1 tr\u1ecb c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng t? \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a H\u0110KP 1: Gi\u00fap HS co\u0301 c\u01a1 h\u00f4\u0323i tr\u1ea3i nghi\u1ec7m, tha\u0309o lu\u00e2\u0323n v\u1ec1 t\u00ednh t\u01b0\u01a1ng \u1ee9ng c\u1ee7a m\u1ed9Nt \u1ebfgui\u00e1\u0111t\u1ea1ri\u1ecblc\u01b0\u1ee7\u1ee3angbiy\u1ebfnphx\u1ee5vt\u1edbhiud\u1ed9cuyv\u00e0noh\u1ea5mt\u1ed9mt \u1ed9\u0111\u1ea1t igli\u01b0\u00e1\u1ee3tnr\u1ecbgct\u1ee7haayb\u0111i\u1ebf\u1ed5ni xy.sao cho v\u1edbi m\u1ed7i gi\u00e1 tr\u1ecb c\u1ee7a x GV\u2013cG\u00f3ct\u01a1at\u0323\u1ee7hial\u1ec3yu\u0301b\u00f4ctinh\u1ebf\u00f4\u0309noxcs\u00e1Hh\u1ed1c\u01b0S\u0301x\u0111c.l\u1ecb\u00e0nHmh\u0110\u0111vK\u01b0i\u1ee3\u1ec7Pcc 1d:uGy Vnh\u1ea5nt\u00eamu \u1ed9ct\u00e2ugi\u00e1h\u1ecftri\u1ecb, tH\u01b0\u01a1Sntgra\u1ee9\u0309 nl\u01a1g\u0300ic, \u1ee7l\u01a1a\u0301py nthh\u00ec\u1eadyn \u0111x\u01b0\u00e9\u1ee3t,cGg\u1ecdVi l\u0111\u00e0a\u0301hn\u00e0hmgisa\u1ed1\u0301. theo nh\u00f3m. Th\u1ef1Vc\u00edhd\u00e0\u1ee5n1h. H1.\u00e3My c\u00f4ht\u1ec9\u1ea3rac\u00e1cc\u00e1c\u0111\u0111\u1ea1\u1ea1iil\u01b0l\u01b0\u1ee3\u1ee3nngg ll\u00e0\u00e0 hh\u00e0\u00e0mm ss\u1ed1\u1ed1 vv\u00e0\u00e0bbii\u1ebf\u1ebfnnss\u1ed1\u1ed1trtorongng c\u00e1cv\u00e0m\u00f4 h1\u00ec.nh sau: a) Bi\u1ec3u \u0111\u1ed3 c\u1ed9t ch\u1ec9 doanh thu y (tri\u00ea\u0323u \u0111\u00f4\u0300ngG)i\u1ea3ci\u1ee7a m\u1ed9t c\u1eeda h\u00e0ng trong th\u00e1ng x. \u2013 \u0110\u1ea1i l\u01b0\u1ee3ng l\u01b0\u1ee3ng m\u01b0a M l\u00e0 h\u00e0m s\u1ed1 c\u1ee7a bi\u1ebfn s\u1ed1 n ch\u1ec9 th\u00e1ng trong n\u0103m. \u2013 \u0110\u1ea1i l\u01b0\u1ee3ng nDhoi\u1ec7atn\u0111h\u1ed9 tdhlu\u00e0 ch\u1ee7\u00e0ma cs\u1eed\u1ed1ac\u1ee7ha\u00e0bnig\u1ebfn s\u1ed1 h ch\u1ec9 gi\u1edd trong ng\u00e0y. \u2013(tri\u0110\u1ec7u\u1ea1i l\u01b0\u1ee3ng th\u1eddi gian t l\u00e0 h\u00e0m s\u1ed1 c\u1ee7a bi\u1ebfn s\u1ed1 v ch\u1ec9 v\u1eadn t\u1ed1c. \u0111\u1ed3ng) 6 300 200 250 200 150 100 100 50 120 110 0 40 100 1 2 3 4 (Th\u00e1ng) 30 90 b) Qu\u00e3ng \u0111\u01b0\u1eddng s (km) \u0111i \u0111\u01b0\u1ee3c trong th\u1eddi gian t (gi\u1edd) c\u1ee7a m\u1ed9t 20 80 chi\u1ebfc xe ch\u1ea1y v\u1edbi t\u1ed1c \u0111\u00f4\u0323 kh\u00f4ng \u0111\u1ed5i b\u1eb1ng 40 km\/h. 10 70 60 c) S\u1ed1 ti\u1ec1n y (\u0111\u1ed3ng) ng\u01b0\u1eddi mua ph\u1ea3i tr\u1ea3 cho x quy\u1ec3n v\u1edf c\u00f3 gi\u00e1 0 50 10 000 \u0111\u1ed3ng\/quy\u1ec3n. \u201310 40 \u201320 30 M\u1ee5c \u0111\u00edch c\u1ee7a Th\u1ef1c h\u00e0nh 1: HS th\u01b0\u0323c ha\u0300nh s\u1eed d\u1ee5ng ng\u00f4n ng\u1eef 20 h\u00e0m s\u1ed1 \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t. 10 0 V\u1eadn d\u1ee5ng 1. Khi \u0111o nhi\u1ec7t \u0111\u1ed9, ta c\u00f3 c\u00f4ng th\u1ee9c \u0111\u1ed5i t\u1eeb \u0111\u01a1n v\u1ecb \u0111\u1ed9 C \u201330 \u201310 (Celsius) sang \u0111\u01a1n v\u1ecb \u0111\u1ed9 F (Fahrenheit) nh\u01b0 sau: F = 1,8C + 32. \u201320 Theo em, F c\u00f3 ph\u1ea3i l\u00e0 m\u1ed9t h\u00e0m s\u1ed1 theo bi\u1ebfn s\u1ed1 C hay kh\u00f4ng? Gi\u1ea3i th\u00edch. Hi\u0300nh 1 \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 1: HS c\u00f3 c\u01a1 h\u1ed9i v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1eeba h\u1ecdc v\u00e0o th\u1ef1c t\u1ebf, s\u01b0\u0309 du\u0323ng ng\u00f4n ng\u1eef h\u00e0m s\u1ed1 trong c\u00e1c t\u00ecnh hu\u1ed1ng m\u00f4 t\u1ea3 chuy\u1ec3n \u0111\u1ed9ng ho\u1eb7c \u0111\u1ed5i \u0111\u01a1n v\u1ecb \u0111o nhi\u1ec7t \u0111\u1ed9 t\u1eeb \u0111\u1ed9 C sang \u0111\u1ed9 F m\u1ed9t c\u00e1ch tr\u1ef1c quan tr\u00ean thanh nhi\u1ec7t k\u1ebf. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c V\u1eadn d\u1ee5ng 1: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u c\u1ee7a ho\u1ea1t \u0111\u1ed9ng v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. GV c\u00f3 th\u1ec3 cho HS l\u00e0m vi\u1ec7c theo nh\u00f3m. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: M\u1ed7i gi\u00e1 tr\u1ecb c\u1ee7a C cho ta t\u01b0\u01a1ng \u1ee9ng v\u1edbi m\u1ed9t gi\u00e1 tr\u1ecb duy nh\u1ea5t c\u1ee7a F = 1,8C + 32. V\u1eady F l\u00e0 m\u1ed9t h\u00e0m s\u1ed1 theo bi\u1ebfn s\u1ed1 C. 145","2. Gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 H\u0110KP 2 \u2013 Mu\u0323c \u0111i\u0301ch c\u1ee7a H\u0110KP 2: Gi\u00fap HS l\u00e0m quen v\u1edbi c\u00e1ch t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 qua th\u1ef1c t\u1ebf t\u00ednh gi\u00e1 tr\u1ecb t\u01b0\u01a1ng \u1ee9ng tr\u00ean b\u1ea3ng gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110KP 2: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. Th\u1ef1c h\u00e0nh 2. a) C\u00e1c gi\u00e1 tr\u1ecb t\u01b0\u01a1ng \u1ee9ng c\u1ee7a hai \u0111\u1ea1i l\u01b0\u1ee3ng x v\u00e0 y \u0111\u01b0\u1ee3c cho trong b\u1ea3ng sau: x \u22123 \u22122 \u22121 1 2 3 y \u22126 \u22124 \u22122 2 4 6 \u0110\u1ea1i l\u01b0\u1ee3ng y c\u00f3 ph\u1ea3i l\u00e0 h\u00e0m s\u1ed1 c\u1ee7a \u0111\u1ea1i l\u01b0\u1ee3ng x kh\u00f4ng? b) Cho h\u00e0m s\u1ed1 y = f(x) = x2. \u2013 T\u00ednh f(2); f(\u20133). \u2013 L\u1eadp b\u1ea3ng gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 v\u1edbi x l\u1ea7n l\u01b0\u1ee3t b\u1eb1ng \u20133; \u20132; \u20131; 0; 1; 2; 3. \u2013 Mu\u0323c \u0111i\u0301ch c\u1ee7a Th\u1ef1c h\u00e0nh 2: HS th\u01b0\u0323c ha\u0300nh t\u00ednh gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 theo c\u00f4ng th\u1ee9c \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c Th\u1ef1c h\u00e0nh 2: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u c\u1ee7a ho\u1ea1t \u0111\u1ed9ng v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. V\u1eadn d\u1ee5ng 2. G\u1ecdi C = f(d) l\u00e0 h\u00e0m s\u1ed1 m\u00f4 t\u1ea3 m\u1ed1i quan h\u1ec7 gi\u1eefa chu vi C v\u00e0 \u0111\u01b0\u1eddng k\u00ednh d c\u1ee7a m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n. T\u00ecm c\u00f4ng th\u1ee9c f(d) v\u00e0 l\u1eadp b\u1ea3ng gi\u00e1 tr\u1ecb c\u1ee7a h\u00e0m s\u1ed1 \u1ee9ng v\u1edbi d l\u1ea7n l\u01b0\u1ee3t b\u1eb1ng 1; 2; 3; 4 (theo \u0111\u01a1n v\u1ecb cm). \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 2: HS c\u00f3 c\u01a1 h\u1ed9i v\u1eadn d\u1ee5ng ki\u1ebfn th\u1ee9c v\u1eeba h\u1ecdc v\u00e0o th\u1ef1c t\u1ebf, \u00e1p d\u1ee5ng ki\u1ebfn th\u1ee9c li\u00ean m\u00f4n, v\u1eadn d\u1ee5ng t\u1ed5ng h\u1ee3p c\u00e1c k\u0129 n\u0103ng th\u00f4ng qua vi\u1ec7c l\u1eadp c\u00f4ng th\u1ee9c v\u00e0 b\u1ea3ng gi\u00e1 tr\u1ecb c\u1ee7a chu vi C c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n theo \u0111\u01b0\u1eddng k\u00ednh d: C = f(d) = \u03c0d. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c V\u1eadn d\u1ee5ng 2: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u c\u1ee7a ho\u1ea1t \u0111\u1ed9ng v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. GV c\u00f3 th\u1ec3 cho HS l\u00e0m vi\u1ec7c theo nh\u00f3m ho\u1eb7c thuy\u1ebft tr\u00ecnh. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: d 1234 C = f(d) = \u03c0d \u03c0 2\u03c0 3\u03c0 4\u03c0 146","IV. H\u01b0\u1edbng d\u1eabn gi\u1ea3i c\u00e1c b\u00e0i t\u1eadp 1. \ta) Do t\u01b0\u01a1ng \u1ee9ng v\u1edbi m\u1ed7i gi\u00e1 tr\u1ecb x \u0111\u1ec1u c\u00f3 duy nh\u1ea5t m\u1ed9t gi\u00e1 tr\u1ecb y n\u00ean y l\u00e0 h\u00e0m s\u1ed1 theo bi\u1ebfn s\u1ed1 x. b) Do \u1ee9ng v\u1edbi x = 2 c\u00f3 hai gi\u00e1 tr\u1ecb y = 1 v\u00e0 y = 1 n\u00ean y kh\u00f4ng l\u00e0 h\u00e0m s\u1ed1 theo bi\u1ebfn s\u1ed1 x. 23 2. \ta) f(1) = 3; f(\u20132) = \u20136; f \uf8eb 1 \uf8f6 = 1. \uf8ed\uf8ec 3 \uf8f7\uf8f8 b) x \u20133 \u20132 \u20131 0 1 23 y = 3x \u20139 \u20136 \u20133 0 3 69 3. \tf(\u20133) = 13; f(\u20132) = 8; f(\u20131) = 5; f(0) = 4; f(1) = 5. 4. \t\u0110\u1ea1i l\u01b0\u1ee3ng m l\u00e0 m\u1ed9t h\u00e0m s\u1ed1 theo V. Ta c\u00f3 c\u00f4ng th\u1ee9c m = 7,8V. m(10) = 78; m(20) = 156; m(30) = 234; m(40) = 312; m(50) = 390. 5. \t\u0110\u1ea1i l\u01b0\u1ee3ng t l\u00e0 m\u1ed9t h\u00e0m s\u1ed1 theo v. Ta c\u00f3 c\u00f4ng th\u1ee9c t = 20 . v v 10 20 40 80 t= 20 2 1 1 1 v 2 4 B\u00e0i 2. TO\u1ea0 \u0110\u1ed8 C\u1ee6A M\u1ed8T \u0110I\u1ec2M V\u00c0 \u0110\u1ed2 TH\u1eca C\u1ee6A H\u00c0M S\u1ed0 I. M\u1ee5c ti\u00eau 1. Y\u00eau c\u1ea7u c\u00e2\u0300n \u0111a\u0323t: \u2013 X\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c to\u1ea1 \u0111\u1ed9 c\u1ee7a m\u1ed9t \u0111i\u1ec3m tr\u00ean m\u1eb7t ph\u1eb3ng to\u1ea1 \u0111\u1ed9; x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c m\u1ed9t \u0111i\u1ec3m tr\u00ean m\u1eb7t ph\u1eb3ng to\u1ea1 \u0111\u1ed9 khi bi\u1ebft to\u1ea1 \u0111\u1ed9 c\u1ee7a n\u00f3. \u2013 Nh\u1eadn bi\u1ebft \u0111\u01b0\u1ee3c \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1. 2. N\u0103ng l\u1ef1c ch\u00fa tr\u1ecdng: t\u01b0 duy v\u00e0 l\u1eadp lu\u1eadn to\u00e1n h\u1ecdc, m\u00f4 h\u00ecnh ho\u00e1 to\u00e1n h\u1ecdc, giao ti\u00ea\u0301p toa\u0301n ho\u0323c. 3. T\u00edch h\u1ee3p: To\u00e1n h\u1ecdc v\u00e0 cu\u1ed9c s\u1ed1ng, t\u00edch h\u1ee3p c\u00e1c m\u00f4n h\u1ecdc kh\u00e1c. 147","II. M\u1ed9t s\u1ed1 ch\u00fa \u00fd 1. GV s\u1eed d\u1ee5ng c\u00e1c t\u00ecnh hu\u1ed1ng th\u1ef1c t\u1ebf nh\u01b0 x\u00e1c \u0111\u1ecbnh v\u1ecb tr\u00ed qu\u00e2n c\u1edd tr\u00ean b\u00e0n c\u1edd, ch\u1ed7 ng\u1ed3i trong r\u1ea1p h\u00e1t, ... \u0111\u1ec3 gi\u00fap HS l\u00e0m quen v\u1edbi nhu c\u1ea7u x\u00e1c \u0111\u1ecbnh m\u1ed9t \u0111i\u1ec3m tr\u00ean m\u1eb7t ph\u1eb3ng to\u1ea1 \u0111\u1ed9. 2. C\u1ea7n th\u1ef1c h\u00e0nh \u0111\u1ec3 r\u00e8n luy\u1ec7n hai k\u0129 n\u0103ng: x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c to\u1ea1 \u0111\u1ed9 c\u1ee7a m\u1ed9t \u0111i\u1ec3m tr\u00ean m\u1eb7t ph\u1eb3ng to\u1ea1 \u0111\u1ed9 v\u00e0 x\u00e1c \u0111\u1ecbnh \u0111\u01b0\u1ee3c m\u1ed9t \u0111i\u1ec3m tr\u00ean m\u1eb7t ph\u1eb3ng to\u1ea1 \u0111\u1ed9 khi bi\u1ebft to\u1ea1 \u0111\u1ed9 c\u1ee7a n\u00f3. III. G\u1ee3i \u00fd c\u00e1c ho\u1ea1t \u0111\u1ed9ng c\u1ee5 th\u1ec3 H\u0110K\u0110 B\u1ea1n C\u00fac m\u1edbi h\u1ecdc ch\u01a1i c\u1edd vua. Em h\u00e3y t\u00ecm a bcde f gh 88 gi\u00fap b\u1ea1n: \u2013 Qu\u00e2n H\u1eadu Tr\u1eafng \u0111ang \u1edf giao c\u1ee7a c\u00e1c c\u1ed9t 7 7 B\u00e0i n\u00e0o v\u00e0 h\u00e0ng n\u00e0o? 66 2 TO\u2013ChT\u1ea0\u1ea1oi bg\u0110ii\u1ebfa\u1ed8totc\u00eaC\u1ee7naUgc\u0309\u1ecd\u1ed9Ait cb\u1ee7Mva\u00e0\u1ed8ch\u00e1\u00e0Tcnqg\u0110u8\u00e2Inl\u00e0\u1ec2cqM\u1eddut\u00e2rn\u00eaVng\u00c0\u00ecb?\u00e0\u0110n \u1ed2 54TH\u1eca CU\u0309A H\u00c0M S\u1ed05 4 c\u1edd vua nh\u01b0 sau: 33 22 Qu\u00e2n c\u1edd B\u1ea1n C\u00fac m\u1edbi h\u1ecdc ch\u01a1i c\u1edd vua. Em h\u00e3y 1t\u00ecm 1 T\u00ean g\u1ecdi gTi\u1ed1\u00fatp b\u1ea1Xne: M\u00e3 T\u01b0\u1ee3ng H\u1eadu Vua a b c ad be c f d g e h f g h 88 \u2013 Qu\u00e2n H\u1eadu Tr\u1eafng \u0111ang \u1edf giao c\u1ee7a c\u00e1c c\u1ed9t 7 7 \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a n\u00e0o v\u00e0 h\u00e0ng n\u00e0o? th6a\u0309o lu\u00e2\u0323n v\u1ec1 c\u00e1ch x\u00e1c \u01116\u1ecbnh 5 5 \u2013HT\u0110\u1ea1iKg\u0110iao: Gc\u1ee7ia\u00fapc\u1ed9Ht bSvc\u00e0o\u0301h\u00e0cn\u01a1gh8\u00f4\u0323li\u00e0tqr\u1ea3ui\u00e2nnggh\u00ec?i\u1ec7m, m\u1ed9t \u0111i\u1ec3m tr\u00ean m\u1eb7t pChh\u1eb3ongbit\u1ebfot\u1ea1t\u00ea\u0111n\u1ed9gth\u1ecd\u00f4i cn\u1ee7gaqcu\u00e1ac tq\u00ecnuh\u00e2nhcu\u1edd\u1ed1ntrg\u00eanx\u00e1bc\u00e0n\u0111\u1ecbnh 4v\u1ecb tr\u00ed qu\u00e2n c\u1edd tr\u00ean b\u00e0n4c\u1edd. C\u00e1ch \u0111\u1eb7t v\u1ea5n \u0111\u1ec1 n\u00e0yc\u1eddc\u00f3vukahn\u1ea3hn\u01b0\u0103snagu:thu h\u00fat HS v\u00e0o b\u00e0i h\u1ecdc. 3 3 \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c HQ\u0110u\u00e2Kn c\u0110\u1edd : GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1ead2n x\u00e9t, GV s\u1eed d\u1ee5ng c\u01a1 2h\u1ed9i 1 \u0111\u1ec3 gi\u1edbi thi\u1ec7u b\u00e0i. GVT\u00eacn\u00f3g\u1ecdtih\u1ec3 cT\u1ed1hto HXSe l\u00e0mM\u00e3vi\u1ec7T\u01b0c\u1ee3nthg eoH\u1eadnuh\u00f3mVu.a 1 a bcde f gh 1. To\u1ea1 \u0111\u1ed9 c\u1ee7a m\u1ed9t \u0111i\u1ec3m H1.\u0110TKOP \u1ea01 \u0110\u1ed8 C\u1ee6A M\u1ed8T \u0110I\u1ec2M 1 T\u00e2y B\u1eafc A (km) \u0110\u00f4ng Tr\u00ean bi\u1ec3n c\u00f3 m\u1ed9t con t\u00e0u \u1edf v\u1ecb tr\u00ed A v\u00e0 m\u1ed9t h\u00f2n \u0111\u1ea3o \u1edf v\u1ecb tr\u00ed B (H\u00ecnh 1). H\u00e3y m\u00f4 t\u1ea3 v\u1ecb tr\u00ed y c\u1ee7a con t\u00e0u v\u00e0 v\u1ecb tr\u00ed c\u1ee7a h\u00f2n \u0111\u1ea3o so v\u1edbi v\u1ecb tr\u00ed 8 c\u1ee7a hai tr\u1ee5c Ox v\u00e0 Oy. B7 6 V\u1ecb tr\u00ed g\u1ed1c 5 4 3 2 1 \u20134 \u20133 \u20132 \u20131\u20131O 1 2 3 4 x (km) Nam H\u00ecnh 1 \u2013 MT\u1ee5rcon\u0111g\u00edcthh\u1ef1cc\u1ee7at\u1ebfH, c\u0110\u00f3KnPhi1\u1ec1u: Gt\u00ecin\u00fahphHu\u1ed1Sncgo\u0301cch\u01a1\u00fanhg\u00f4\u0323itatrc\u1ea3\u1ea7i nngphhi\u1ea3\u1ec7imx,\u00e1cth\u0111a\u0309\u1ecbonhluv\u00e2\u0323\u1ecbntrv\u00ed\u1ec1cc\u1ee7\u00e1acch\u00e1mc \u0111\u00f4i\u1ec3t\u1ea3mvt\u1ecbr\u00eatrn\u00ed c\u1ee7a conmt\u1eb7\u00e0tupvh\u00e0\u1eb3nhg\u00f2.n \u0111\u1ea3o so v\u1edbi hai tr\u1ee5c vu\u00f4ng g\u00f3c. M\u1eb7t ph\u1eb3ng to\u1ea1 \u0111\u1ed9 148 Tr\u00ean m\u1eb7t ph\u1eb3ng, ta v\u1ebd hai tr\u1ee5c s\u1ed1 Ox v\u00e0 Oy vu\u00f4ng g\u00f3c y v\u1edbi nhau t\u1ea1i g\u1ed1c O c\u1ee7a m\u1ed7i tr\u1ee5c, khi \u0111\u00f3 ta c\u00f3 h\u1ec7 tr\u1ee5c 4 3","\u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110KP 1: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. Th\u1ef1c h\u00e0nh 1. T\u00ecm to\u1ea1 \u0111\u1ed9 c\u1ee7a ca\u0301c \u0111i\u1ec3m O, E, F y trong H\u00ecnh 4. E4 M\u1ee5c \u0111\u00edch c\u1ee7a Th\u1ef1c h\u00e0nh 1: HS th\u01b0\u0323c ha\u0300nh x\u00e1c \u0111\u1ecbnh 3A to\u1ea1 \u0111\u1ed9 c\u1ee7a m\u1ed9t \u0111i\u1ec3m tr\u00ean m\u1eb7t ph\u1eb3ng to\u1ea1 \u0111\u1ed9 \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t. 2 V\u1eadn d\u1ee5ng 1. T\u00ecm to\u1ea1 \u0111\u1ed9 v\u1ecb tr\u00ed A c\u1ee7a con thuy\u1ec1n 1 v\u00e0 B c\u1ee7a h\u00f2n \u0111\u1ea3o trong 1. \u20134 \u20133 \u20132 \u20131 O 1 2 3 4 5x \u20131 B \u2013 M\u1ee5c \u0111\u00edch c\u1ee7a V\u1eadn d\u1ee5ng 1: HS c\u00f3 c\u01a1 h\u1ed9i v\u1eadn d\u1ee5ng \u20132 ki\u1ebfn th\u1ee9c v\u1eeba h\u1ecdc v\u00e0o th\u1ef1c t\u1ebf \u0111\u1ecdc to\u1ea1 \u0111\u1ed9 con t\u00e0u tr\u00ean \u20133 F m\u1eb7t ph\u1eb3ng to\u1ea1 \u0111\u1ed9, gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 \u0111\u00e3 n\u00eau trong \u20134 ph\u1ea7n kh\u1edfi \u0111\u1ed9ng v\u00e0 kh\u00e1m ph\u00e1. C \u20135 \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c V\u1eadn d\u1ee5ng 1: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u c\u1ee7a ho\u1ea1t \u0111\u1ed9ng v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. GV c\u00f3 th\u1ec3 H\u00ecnh 4 cho HS l\u00e0m vi\u1ec7c theo nh\u00f3m. H\u01b0\u1edbng d\u1eabn \u2013 \u0111\u00e1p \u00e1n: A(4; 8), B(\u20133; 7). 2. X\u00e1c \u0111\u1ecbnh m\u1ed9t \u0111i\u1ec3m tr\u00ean m\u1eb7t ph\u1eb3ng to\u1ea1 \u0111\u1ed9 khi bi\u1ebft to\u1ea1 \u0111\u1ed9 c\u1ee7a n\u00f3 H\u0110KP 2 \u2013 Mu\u0323c \u0111i\u0301ch c\u1ee7a H\u0110KP 2: Gi\u00fap HS l\u00e0m quen v\u1edbi c\u00e1ch x\u00e1c \u0111\u1ecbnh to\u1ea1 \u0111\u1ed9 m\u1ed9t \u0111i\u1ec3m qua th\u1ef1c t\u1ebf nh\u1eadn bi\u1ebft to\u1ea1 \u0111\u1ed9 n\u01a1i ch\u00f4n kho b\u00e1u. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c H\u0110KP 2: GV n\u00eau c\u00e2u h\u1ecfi, HS tra\u0309 l\u01a1\u0300i, l\u01a1\u0301p nh\u1eadn x\u00e9t, GV \u0111a\u0301nh gia\u0301. Th\u1ef1c h\u00e0nh 2. V\u1ebd m\u1ed9t h\u1ec7 tr\u1ee5c to\u1ea1 \u0111\u1ed9 Oxy v\u00e0 \u0111\u00e1nh d\u1ea5u c\u00e1c \u0111i\u1ec3m C(3; 0), D(0; \u20132), E(\u22123; \u22124). \u2013 Mu\u0323c \u0111i\u0301ch c\u1ee7a Th\u1ef1c h\u00e0nh 2: HS th\u01b0\u0323c ha\u0300nh \u0111\u00e1nh \u0111\u1ea5u c\u00e1c \u0111i\u1ec3m c\u00f3 to\u1ea1 \u0111\u1ed9 cho s\u1eb5n \u0111\u1ec3 r\u00e8n luy\u1ec7n k\u0129 n\u0103ng theo y\u00eau c\u1ea7u c\u1ea7n \u0111\u1ea1t. \u2013 G\u01a1\u0323i y\u0301 t\u00f4\u0309 ch\u01b0\u0301c Th\u1ef1c h\u00e0nh 2: HS tra\u0309 l\u01a1\u0300i y\u00eau c\u1ea7u c\u1ee7a ho\u1ea1t \u0111\u1ed9ng v\u00e0o v\u1edf, GV s\u1eeda chung tr\u01b0\u1edbc l\u1edbp. 149"]