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{"id":48985,"date":"2020-07-11T10:37:03","date_gmt":"2020-07-11T03:37:03","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=48985"},"modified":"2020-07-11T10:37:04","modified_gmt":"2020-07-11T03:37:04","slug":"de-thi-dai-hoc-toan-kho-nhat-lich-su-trung-quoc-gay-tranh-cai","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/de-thi-dai-hoc-toan-kho-nhat-lich-su-trung-quoc-gay-tranh-cai\/","title":{"rendered":"\u0110\u1ec1 thi \u0111\u1ea1i h\u1ecdc To\u00e1n \u2018kh\u00f3 nh\u1ea5t l\u1ecbch s\u1eed Trung Qu\u1ed1c\u2019 g\u00e2y tranh c\u00e3i"},"content":{"rendered":"\n

M\u1ed9t s\u1ed1 c\u00e2u h\u1ecfi trong \u0111\u1ec1 thi kh\u00f3 \u0111\u1ebfn m\u1ee9c nhi\u1ec1u sinh vi\u00ean \u0111\u1ebfn t\u1eeb t\u1ec9nh An Huy, n\u01a1i c\u00f3 ch\u1ea5t l\u01b0\u1ee3ng gi\u00e1o d\u1ee5c t\u1ed1t nh\u1ea5t Trung Qu\u1ed1c, c\u0169ng kh\u00f4ng th\u1ec3 gi\u1ea3i \u0111\u00fang.<\/em><\/strong><\/p>\n\n\n\n

\"\"<\/figure><\/div>\n\n\n\n

N\u0103m 1984 \u0111\u01b0\u1ee3c xem l\u00e0 th\u1eddi \u0111i\u1ec3m Trung Qu\u1ed1c c\u00f3 nhi\u1ec1u c\u1ea3i c\u00e1ch trong gi\u00e1o d\u1ee5c. H\u1ed9i \u0111\u1ed3ng ra \u0111\u1ec1 thi \u0111\u1ea1i h\u1ecdc n\u0103m \u0111\u00f3 \u0111\u00e3 th\u1eed \u0111\u01b0a v\u00e0o b\u00e0i thi m\u00f4n To\u00e1n nh\u1eefng c\u00e2u h\u1ecfi c\u00f3 t\u00ednh ph\u00e2n lo\u1ea1i th\u00ed sinh m\u1ea1nh m\u1ebd.<\/p>\n\n\n\n

KKnews <\/em>d\u1eabn \u00fd ki\u1ebfn c\u1ee7a nhi\u1ec1u chuy\u00ean gia \u0111\u00e1nh gi\u00e1 trong s\u1ed1 \u0111\u1ec1 thi c\u1ee7a nh\u1eefng n\u0103m \u0111\u01b0\u1ee3c xem l\u00e0 \u0111\u00e1nh \u0111\u1ed1 th\u00ed sinh nh\u01b0 1984, 1999 v\u00e0 2003, \u0111\u1ec1 thi n\u0103m 1984 kh\u00f3 nh\u1ea5t.<\/p>\n\n\n\n

\u00d4ng Zhang Jingzhong, h\u1ecdc gi\u1ea3 c\u1ee7a Vi\u1ec7n H\u00e0n l\u00e2m Khoa h\u1ecdc Trung Qu\u1ed1c, \u0111\u1ed3ng th\u1eddi l\u00e0 gi\u1ea3ng vi\u00ean To\u00e1n n\u1ed5i ti\u1ebfng, nh\u1eadn x\u00e9t \u0111\u1ec1 thi n\u0103m \u0111\u00f3 c\u00f3 s\u1ed1 l\u01b0\u1ee3ng c\u00e2u h\u1ecfi kh\u00f3 \u0111\u1ebfn m\u1ee9c \u201cg\u00e2y s\u1ed1c\u201d, kh\u00f4ng ph\u00f9 h\u1ee3p th\u00ed sinh.<\/p>\n\n\n\n

Nhi\u1ec1u gi\u00e1o vi\u00ean c\u0169ng cho r\u1eb1ng \u0111\u1ec1 thi l\u00e0 b\u01b0\u1edbc \u201cc\u1ea3i l\u00f9i\u201d, v\u01b0\u1ee3t qu\u00e1 s\u1ee9c hi\u1ec3u bi\u1ebft c\u1ee7a s\u0129 t\u1eed d\u1ef1 thi \u0111\u1ea1i h\u1ecdc th\u00f4ng th\u01b0\u1eddng.<\/p>\n\n\n\n

\u0110\u1ec1 thi m\u00f4n To\u00e1n n\u0103m 1984 \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf v\u1edbi \u0111i\u1ec3m t\u1ed1i \u0111a 150, trong \u0111\u00f3 c\u00f3 12 c\u00e2u tr\u1eafc nghi\u1ec7m (60 \u0111i\u1ec3m), 4 c\u00e2u \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng (20 \u0111i\u1ec3m), 5 c\u00e2u h\u1ecfi b\u1eaft bu\u1ed9c (60 \u0111i\u1ec3m) v\u00e0 3 c\u00e2u h\u1ecfi t\u1ef1 ch\u1ecdn (ch\u1ecdn 1 trong 3), m\u1ed7i c\u00e2u 10 \u0111i\u1ec3m.<\/p>\n\n\n\n

C\u00e1c c\u00e2u h\u1ecfi kh\u00f3 n\u1eb1m r\u1ea3i r\u00e1c t\u1eeb ph\u1ea7n tr\u1eafc nghi\u1ec7m \u0111\u1ebfn \u0111i\u1ec1n v\u00e0o \u00f4 tr\u1ed1ng v\u00e0 c\u00e2u h\u1ecfi b\u1eaft bu\u1ed9c. Nh\u01b0 v\u1eady, n\u1ebfu tr\u1ea3 l\u1eddi \u0111\u00fang, sinh vi\u00ean c\u00f3 th\u1ec3 \u0111\u1ea1t \u0111\u1ed1i \u0111a 120 \u0111i\u1ec3m, kh\u00f4ng k\u1ec3 ph\u1ea7n t\u1ef1 ch\u1ecdn.<\/p>\n\n\n\n

Sohu <\/em>th\u1ed1ng k\u00ea \u0111i\u1ec3m trung b\u00ecnh to\u00e0n qu\u1ed1c m\u00f4n To\u00e1n n\u0103m \u0111\u00f3 c\u1ee7a Trung Qu\u1ed1c l\u00e0 26. Th\u00e0nh ph\u1ed1 B\u1eafc Kinh ch\u1ec9 c\u00f3 17 \u0111i\u1ec3m v\u00e0 An Huy l\u00e0 \u0111\u1ecba ph\u01b0\u01a1ng cao nh\u1ea5t v\u1edbi 28 \u0111i\u1ec3m. Con s\u1ed1 n\u00e0y th\u1ea5p h\u01a1n r\u1ea5t nhi\u1ec1u so v\u1edbi \u0111i\u1ec3m t\u1ed1i \u0111a (150 \u0111i\u1ec3m).<\/p>\n\n\n\n

Kh\u1ea3o s\u00e1t 750 b\u00e0i thi c\u1ee7a An Huy – t\u1ec9nh c\u00f3 ch\u1ea5t l\u01b0\u1ee3ng gi\u00e1o d\u1ee5c t\u1ed1t nh\u1ea5t Trung Qu\u1ed1c – cho th\u1ea5y 9,8% th\u00ed sinh \u0111\u1ea1t d\u01b0\u1edbi 20 \u0111i\u1ec3m, 39,7% em \u0111\u1ea1t d\u01b0\u1edbi 30 \u0111i\u1ec3m, 60,5% s\u0129 t\u1eed d\u01b0\u1edbi 40 \u0111i\u1ec3m v\u00e0 81,5% ng\u01b0\u1eddi d\u01b0\u1edbi 50 \u0111i\u1ec3m.<\/p>\n\n\n\n

C\u1ee5 th\u1ec3 nh\u1eefng c\u00e2u h\u1ecfi \u0111\u01b0\u1ee3c \u0111\u00e1nh gi\u00e1 \u201ckh\u00f3 nh\u1ea5t l\u1ecbch s\u1eed thi \u0111\u1ea1i h\u1ecdc Trung Qu\u1ed1c\u201d nh\u01b0 sau:<\/p>\n\n\n\n

C\u00e2u 1 (d\u00e0nh cho nh\u00f3m ng\u00e0nh Khoa h\u1ecdc, C\u00f4ng ngh\u1ec7, N\u00f4ng nghi\u1ec7p v\u00e0 Y h\u1ecdc): M\u1ed7i c\u00e2u h\u1ecfi c\u00f3 4 \u0111\u00e1p \u00e1n \u0111\u01b0\u1ee3c k\u00fd hi\u1ec7u A, B, C, D. L\u1ef1a ch\u1ecdn m\u1ed9t \u0111\u00e1p \u00e1n \u0111\u00fang:<\/p>\n\n\n\n

(1) Cho t\u1eadp h\u1ee3p X={2n+1} \u03c0, v\u1edbi n l\u00e0 s\u1ed1 nguy\u00ean. V\u00e0 t\u1eadp Y = {4k \u00b11} \u03c0, v\u1edbi k l\u00e0 s\u1ed1 nguy\u00ean. M\u1ed1i quan h\u1ec7 c\u1ee7a X v\u00e0 Y l\u00e0:<\/p>\n\n\n\n

A. X \u2282 Y<\/p>\n\n\n\n

B. Y \u2282 X<\/p>\n\n\n\n

C. X = Y<\/p>\n\n\n\n

D. X \u2260 Y<\/p>\n\n\n\n

(2) N\u1ebfu \u0111\u01b0\u1eddng tr\u00f2n x2 + y2 + Gx + Ey + F = 0, tr\u1ee5c x ti\u1ebfp tuy\u1ebfn t\u1ea1i g\u1ed1c t\u1ecda \u0111\u1ed9 th\u00ec:<\/p>\n\n\n\n

A. F = 0, G \u2260 0, E \u2260 0<\/p>\n\n\n\n

B. E = 0, F = 0, G \u2260 0<\/p>\n\n\n\n

C. G = 0, F = 0, E \u2260 0<\/p>\n\n\n\n

D. G = 0, E = 0, F \u2260 0<\/p>\n\n\n\n

(3) N\u1ebfu n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng, v\u1eady gi\u00e1 tr\u1ecb c\u1ee7a 1\/8[1-(-1)^n]((n^2) \u2013 1) l\u00e0:<\/p>\n\n\n\n

A. B\u1eb1ng 0<\/p>\n\n\n\n

B. S\u1ed1 ch\u1eb5n<\/p>\n\n\n\n

C. L\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng nh\u01b0ng kh\u00f4ng b\u1eaft bu\u1ed9c l\u00e0 s\u1ed1 ch\u1eb5n<\/p>\n\n\n\n

D. Kh\u00f4ng ph\u1ea3i s\u1ed1 nguy\u00ean<\/p>\n\n\n\n

(4) Arccos(-x) > arccosx khi th\u1ecfa m\u00e3n \u0111i\u1ec1u ki\u1ec7n:<\/p>\n\n\n\n

A. x \u2208 (0,1] B. x \u2208 (-1,0)<\/p>\n\n\n\n

C. x \u2208 [0,1]<\/p>\n\n\n\n

D. x \u2208 [0,\u03c0\/2)<\/p>\n\n\n\n

C\u00e2u 2: Gi\u1ea3 thi\u1ebft H(x) = {0, khi x<0; 1, khi x>0}, h\u00e3y:<\/p>\n\n\n\n

(1) V\u1ebd \u1ea3nh c\u1ee7a h\u00e0m s\u1ed1 y = H(x-1).<\/p>\n\n\n\n

(2) V\u1ebd \u0111\u1ed3 th\u1ecb c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh t\u1ecda \u0111\u1ed9 \u0111\u1ec9nh c\u1ee7a (p-2)(\u03b4 \u2013 (\u03c0\/4)) = 0 (v\u1edbi p>0).<\/p>\n\n\n\n

C\u00e2u 3. Cho bi\u1ebft 3 m\u1eb7t ph\u1eb3ng c\u1eaft nhau c\u00f3 3 \u0111\u01b0\u1eddng th\u1eb3ng giao nhau. Ch\u1ee9ng minh r\u1eb1ng 3 \u0111\u01b0\u1eddng th\u1eb3ng n\u00e0y c\u1eaft nhau t\u1ea1i 1 \u0111i\u1ec3m ho\u1eb7c song song v\u1edbi nhau<\/p>\n\n\n\n

C\u00e2u 4. Gi\u1ea3 thi\u1ebft c, d, x l\u00e0 c\u00e1c s\u1ed1 th\u1ef1c, c # 0, x l\u00e0 \u1ea9n s\u1ed1. Trong tr\u01b0\u1eddng h\u1ee3p n\u00e0o th\u00ec ph\u01b0\u01a1ng tr\u00ecnh log=1 c\u00f3 \u0111\u00e1p \u0111\u00e1p \u00e1n. Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh \u0111\u00e3 t\u00ecm ra<\/p>\n\n\n\n

C\u00e2u 5.<\/p>\n\n\n\n

(1) Cho p # 0, ph\u01b0\u01a1ng tr\u00ecnh b\u1eadc 2 m\u1ed9t bi\u1ebfn v\u1edbi c\u00e1c h\u1ec7 s\u1ed1 th\u1ef1c: z = 0 c\u00f3 2 s\u1ed1 \u1ea3o z1, z2. Gi\u1ea3 s\u1eed r\u1eb1ng c\u00e1c \u0111i\u1ec3m t\u01b0\u01a1ng \u1ee9ng c\u1ee7a z1, z2 trong m\u1eb7t ph\u1eb3ng ph\u1ee9c l\u00e0 Z1 v\u00e0 Z2. T\u00ecm chi\u1ec1u d\u00e0i c\u1ee7a tr\u1ee5c elip v\u1edbi Z1, Z2 l\u00e0 ti\u00eau \u0111i\u1ec3m v\u00e0 \u0111i qua g\u1ed1c t\u1ecda \u0111\u1ed9.<\/p>\n\n\n\n

(2) T\u00ecm ph\u01b0\u01a1ng tr\u00ecnh qu\u1ef9 \u0111\u1ea1o \u0111\u1ec9nh tr\u00e1i c\u1ee7a elip \u0111i qua \u0111i\u1ec3m c\u1ed1 \u0111\u1ecbnh M (1,2), l\u1ea5y tr\u1ee5c y l\u00e0m \u0111\u01b0\u1eddng chu\u1ea9n v\u00e0 \u0111\u1ed9 l\u1ec7ch t\u00e2m l\u00e0 1\/2.<\/p>\n\n\n\n

C\u00e2u 6. Trong tam gi\u00e1c ABC, c\u1ea1nh \u0111\u1ed1i di\u1ec7n v\u1edbi c\u00e1c g\u00f3c A, B, C l\u1ea7n l\u01b0\u1ee3t l\u00e0 a, b, c; trong \u0111\u00f3 c = 10. M l\u00e0 \u0111i\u1ec3m chuy\u1ec3n \u0111\u1ed9ng tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n n\u1ed9i ti\u1ebfp tam gi\u00e1c ABC. T\u00ecm gi\u00e1 tr\u1ecb c\u1ef1c \u0111\u1ea1i v\u00e0 c\u1ef1c ti\u1ec3u c\u1ee7a t\u1ed5ng b\u00ecnh ph\u01b0\u01a1ng c\u00e1c kho\u1ea3ng c\u00e1ch t\u1eeb \u0111i\u1ec3m P \u0111\u1ebfn c\u00e1c \u0111\u1ec9nh c\u1ee7a tam gi\u00e1c ABC.<\/p>\n\n\n\n

C\u00e2u h\u1ecfi s\u1ed1 1 thu\u1ed9c ph\u1ea7n tr\u1eafc nghi\u1ec7m k\u1ef9 n\u0103ng c\u01a1 b\u1ea3n. Tuy nhi\u00ean, trong s\u1ed1 750 b\u00e0i thi ng\u1eabu nhi\u00ean c\u1ee7a th\u00ed sinh \u0111\u1ebfn t\u1eeb An Huy, c\u00f3 t\u1edbi 196 \u0111i\u1ec3m 0, chi\u1ebfm 26,1%. \u1ede c\u00e2u h\u1ecfi 2, trong s\u1ed1 150 b\u00e0i thi, 2 ng\u01b0\u1eddi \u0111\u1ea1t \u0111i\u1ec3m tuy\u1ec7t t\u1ed1i, 10 ng\u01b0\u1eddi b\u1ecb \u0111i\u1ec3m li\u1ec7t (0 \u0111i\u1ec3m), chi\u1ebfm 6,7%.<\/p>\n\n\n\n

Theo Zing<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

M\u1ed9t s\u1ed1 c\u00e2u h\u1ecfi trong \u0111\u1ec1 thi kh\u00f3 \u0111\u1ebfn m\u1ee9c nhi\u1ec1u sinh vi\u00ean \u0111\u1ebfn t\u1eeb t\u1ec9nh An Huy, n\u01a1i c\u00f3 ch\u1ea5t l\u01b0\u1ee3ng gi\u00e1o d\u1ee5c t\u1ed1t nh\u1ea5t Trung Qu\u1ed1c, c\u0169ng kh\u00f4ng th\u1ec3 gi\u1ea3i \u0111\u00fang. N\u0103m 1984 \u0111\u01b0\u1ee3c xem l\u00e0 th\u1eddi \u0111i\u1ec3m Trung Qu\u1ed1c c\u00f3 nhi\u1ec1u c\u1ea3i c\u00e1ch trong gi\u00e1o d\u1ee5c. H\u1ed9i \u0111\u1ed3ng ra \u0111\u1ec1 thi \u0111\u1ea1i […]<\/p>\n","protected":false},"author":3,"featured_media":48986,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"tdm_status":"","tdm_grid_status":""},"categories":[28],"tags":[],"yoast_head":"\n\u0110\u1ec1 thi \u0111\u1ea1i h\u1ecdc To\u00e1n \u2018kh\u00f3 nh\u1ea5t l\u1ecbch s\u1eed Trung Qu\u1ed1c\u2019 g\u00e2y tranh c\u00e3i<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/lop12.edu.vn\/de-thi-dai-hoc-toan-kho-nhat-lich-su-trung-quoc-gay-tranh-cai\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0110\u1ec1 thi \u0111\u1ea1i h\u1ecdc To\u00e1n \u2018kh\u00f3 nh\u1ea5t l\u1ecbch s\u1eed Trung Qu\u1ed1c\u2019 g\u00e2y tranh c\u00e3i\" \/>\n<meta property=\"og:description\" content=\"M\u1ed9t s\u1ed1 c\u00e2u h\u1ecfi trong \u0111\u1ec1 thi kh\u00f3 \u0111\u1ebfn m\u1ee9c nhi\u1ec1u sinh vi\u00ean \u0111\u1ebfn t\u1eeb t\u1ec9nh An Huy, n\u01a1i c\u00f3 ch\u1ea5t l\u01b0\u1ee3ng gi\u00e1o d\u1ee5c t\u1ed1t nh\u1ea5t Trung Qu\u1ed1c, c\u0169ng kh\u00f4ng th\u1ec3 gi\u1ea3i \u0111\u00fang. 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