Theo nh\u01b0 \u0111\u1ec1 thi c\u1ee7a B\u1ed9 GD&\u0110T \u0111\u01b0a ra trong k\u00ec thi THPT Qu\u1ed1c gia n\u0103m 2015 th\u00ed sinh c\u1ea7n l\u01b0u \u00fd nh\u1eefng n\u1ed9i dung sau \u0111\u00e2y r\u1ea5t c\u00f3 th\u1ec3 s\u1ebd xu\u1ea5t hi\u1ec7n trong \u0111\u1ec1 thi n\u0103m 2016: <\/em><\/p>\n C\u00e2u 1. H\u00e0m s\u1ed1<\/strong> ( chi\u1ebfm t\u1eeb 10% \u2013 20% trong c\u01a1 c\u1ea5u \u0111i\u1ec3m)<\/p>\n \u0110\u00e2y l\u00e0 m\u1ed9t c\u00e2u h\u1ecfi t\u01b0\u01a1ng \u0111\u1ed1i d\u1ec5 \u0111\u1ec3 th\u00ed sinh c\u00f3 th\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c \u0111i\u1ec3m t\u1ed1i \u0111a. N\u1ed9i dung c\u00e2u h\u1ecfi xoay quanh vi\u1ec7c kh\u1ea3o s\u00e1t s\u1ef1 bi\u1ebfn thi\u00ean, v\u1ebd \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 (\u1edf \u00fd 1a) v\u00e0 m\u1ed9t c\u00e2u h\u1ecfi ph\u1ee5 c\u1ee7a ph\u1ea7n kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1 (\u1edf \u00fd 1b)<\/p>\n Trong c\u00e2u n\u00e0y, th\u00ed sinh c\u1ea7n t\u00ednh to\u00e1n m\u1ed9t c\u00e1ch ch\u00ednh x\u00e1c b\u1edfi n\u1ebfu t\u00ednh sai th\u00ec \u0111i\u1ec3m t\u1ed1i \u0111a c\u00e1c em c\u00f3 th\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c cho c\u00e2u n\u00e0y ch\u1ec9 l\u00e0 0.25\u0111. Khi v\u1ebd \u0111\u1ed3 th\u1ecb ch\u1ee7 y\u1ebfu v\u00e0o c\u00e1c \u0111i\u1ec3m \u0111\u1eb7c bi\u1ec7t, \u0111\u1ed9c l\u1eadp v\u1edbi \u0111\u1ea1o h\u00e0m v\u00e0 b\u1ea3ng bi\u1ebfn thi\u00ean n\u00ean c\u00f3 th\u1ec3 d\u00f9ng d\u00e1ng \u0111i\u1ec7u (\u0111\u1ed3ng bi\u1ebfn, ngh\u1ecbch bi\u1ebfn) c\u1ee7a \u0111\u1ed3 th\u1ecb \u0111\u00e3 v\u1ebd \u0111\u1ec3 ki\u1ec3m tra l\u1ea1i d\u1ea5u c\u1ee7a \u0111\u1ea1o h\u00e0m v\u00e0 b\u1ea3ng bi\u1ebfn thi\u00ean c\u00f3 ph\u00f9 h\u1ee3p v\u1edbi \u0111\u1ed3 th\u1ecb hay kh\u00f4ng?<\/p>\n C\u00e2u 2. <\/strong>Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh l\u01b0\u1ee3ng gi\u00e1c ho\u1eb7c t\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, nh\u1ecf nh\u1ea5t c\u1ee7a h\u00e0m s\u1ed1 (chi\u1ebfm 10% trong c\u01a1 c\u1ea5u \u0111i\u1ec3m):<\/p>\n C\u00e2u 3.<\/strong> Ph\u01b0\u01a1ng tr\u00ecnh, b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh m\u0169 \u2013 logarit ho\u1eb7c s\u1ed1 ph\u1ee9c ( chi\u1ebfm 10% trong c\u01a1 c\u1ea5u \u0111i\u1ec3m).<\/p>\n C\u00e2u 4.<\/strong> T\u00edch ph\u00e2n ( chi\u1ebfm 10% trong c\u01a1 c\u1ea5u \u0111i\u1ec3m):<\/p>\n C\u00e2u h\u1ecfi t\u00edch ph\u00e2n th\u01b0\u1eddng gi\u1eef \u1edf m\u1ee9c \u0111\u1ed9 trung tr\u00ecnh. D\u1ea1ng b\u00e0i n\u00e0y \u0111\u00f2i h\u1ecfi th\u00ed sinh c\u1ea7n n\u1eafm v\u1eefng c\u00e1c c\u00f4ng th\u1ee9c T\u00edch ph\u00e2n c\u01a1 b\u1ea3n, c\u00e1c ph\u01b0\u01a1ng ph\u00e1p t\u00ednh T\u00edch ph\u00e2n v\u00e0 c\u00e1ch v\u1eadn d\u1ee5ng c\u00e1c ki\u1ebfn th\u1ee9c n\u00e0y.<\/p>\n C\u00e2u 5.<\/strong> H\u00ecnh h\u1ecdc gi\u1ea3i t\u00edch trong kh\u00f4ng gian v\u1edbi h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 Oxyz ( chi\u1ebfm 10% trong c\u01a1 c\u1ea5u \u0111i\u1ec3m)<\/p>\n \u0110\u00e2y c\u0169ng l\u00e0 m\u1ed9t c\u00e2u h\u1ecfi t\u01b0\u01a1ng \u0111\u1ed1i d\u1ec5 th\u00ed sinh ch\u1ec9 c\u1ea7n v\u1eadn l\u00fd thuy\u1ebft v\u00e0 r\u00e8n luy\u1ec7n c\u00e1ch t\u00ednh c\u00e1c ph\u00e9p to\u00e1n trong h\u1ec7 tr\u1ee5c t\u1ecda \u0111\u1ed9 Oxyz l\u00e0 c\u00f3 th\u1ec3 \u0111\u1ea1t \u0111\u01b0\u1ee3c \u0111i\u1ec3m.<\/p>\n C\u00e2u 6.<\/strong> H\u00ecnh gi\u1ea3i t\u00edch kh\u00f4ng gian ( chi\u1ebfm 10% trong c\u01a1 c\u1ea5u \u0111i\u1ec3m):<\/p>\n V\u1edbi d\u1ea1ng c\u00e2u h\u1ecfi n\u00e0y, th\u00ed sinh c\u1ea7n n\u1eafm v\u1eefng c\u00e1c ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n m\u1edbi c\u00f3 th\u1ec3 gi\u1ea3i v\u00e0 \u0111\u1ea1t \u0111\u01b0\u1ee3c \u0111i\u1ec3m tuy\u1ec7t \u0111\u1ed1i. Th\u00f4ng th\u01b0\u1eddng, c\u00e2u h\u1ecfi s\u1ebd xoay quanh v\u1ec1 kho\u1ea3ng c\u00e1ch v\u00e0 th\u1ec3 t\u00edch.<\/p>\n C\u00e2u 7.<\/strong> H\u00ecnh h\u1ecdc gi\u1ea3i t\u00edch trong trong m\u1eb7t ph\u1eb3ng v\u1edbi h\u1ec7 t\u1ecda \u0111\u1ed9 Oxy( chi\u1ebfm 10% trong c\u01a1 c\u1ea5u \u0111i\u1ec3m):<\/p>\n \u0110\u00e2y l\u00e0 m\u1ed9t c\u00e2u kh\u00f3 v\u00ec \u0111\u00f2i h\u1ecfi th\u00ed sinh ph\u1ea3i nh\u1edb v\u00e0 bi\u1ebft s\u1eed d\u1ee5ng ki\u1ebfn th\u1ee9c h\u00ecnh h\u1ecdc c\u1ee7a c\u1ea3 c\u00e1c l\u1edbp d\u01b0\u1edbi. Trong \u0111\u00f3, vi\u1ec7c v\u1ebd h\u00ecnh ch\u00ednh x\u00e1c l\u00e0 m\u1ed9t y\u1ebfu t\u1ed1 h\u1ebft s\u1ee9c quan tr\u1ecdng.<\/p>\n C\u00e2u 8: <\/strong>Gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh ho\u1eb7c b\u1ea5t ph\u01b0\u01a1ng tr\u00ecnh ch\u1ee9a c\u0103n (chi\u1ebfm 10% trong c\u01a1 c\u1ea5u \u0111i\u1ec3m)<\/p>\n \u0110\u00e2y l\u00e0 m\u1ed9t c\u00e2u h\u1ecfi t\u01b0\u01a1ng \u0111\u1ed1i kh\u00f3, th\u00ed sinh c\u1ea7n ph\u1ea3i c\u00f3 s\u1ef1 k\u1ebft h\u1ee3p nhu\u1ea7n nhuy\u1ec5n c\u00e1c ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i nh\u01b0 \u0111\u1eb7t \u1ea9n ph\u1ee5, li\u00ean h\u1ee3p, d\u00f9ng b\u1ea5t \u0111\u1eb3ng th\u1ee9c.<\/p>\n C\u00e2u 9.<\/strong> B\u1ea5t \u0111\u1eb3ng th\u1ee9c ho\u1eb7c t\u00ecm gi\u00e1 tr\u1ecb l\u1edbn nh\u1ea5t, nh\u1ecf nh\u1ea5t (chi\u1ebfm 10% trong c\u01a1 c\u1ea5u \u0111i\u1ec3m)<\/p>\n \u0110\u00e2y l\u00e0 c\u00e2u h\u1ecfi kh\u00f3 nh\u1ea5t v\u1edbi \u0111\u1ed9 ph\u00e2n lo\u1ea1i th\u00ed sinh c\u1ef1c cao. \u0110\u1ec3 l\u00e0m \u0111\u01b0\u1ee3c c\u00e2u h\u1ecfi \u0111\u00f2i h\u1ecfi th\u00ed sinh ph\u1ea3i n\u1eafm v\u1eefng c\u00e1c ki\u1ebfn th\u1ee9c To\u00e1n h\u1ecdc, v\u1eadn d\u1ee5ng kh\u1ea3 n\u0103ng t\u01b0 duy \u0111\u1ed9c l\u1eadp.<\/p>\n\n
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