B\u00e0i 42 (trang 44 sgk Gi\u1ea3i T\u00edch 12 12 n\u00e2ng cao):<\/b>\u00a0<\/span><\/p>\nKh\u1ea3o s\u00e1t v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb c\u1ee7a c\u00e1c h\u00e0m s\u1ed1 sau:<\/p>\n
<\/p>\n
L\u1eddi gi\u1ea3i:<\/b><\/p>\n
a) * TX\u0110: R<\/p>\n
<\/p>\n
y’> 0 tr\u00ean kho\u1ea3ng (-\u221e; -1)v\u00e0(3; +\u221e)<\/p>\n
y'< 0 tr\u00ean kho\u1ea3ng (-1; 3)<\/p>\n
yCT<\/sub>=y(3)=-32\/3;yC\u0110<\/sub>=y(-1)=0<\/p>\n<\/p>\n
y”=2x-2=2(x-1)=0 <=> x = 1<\/p>\n
B\u1ea3ng x\u00e9t d\u1ea5u y\u2019\u2019<\/p>\n
<\/p>\n
H\u00e0m s\u1ed1 l\u1ed3i tr\u00ean kho\u1ea3ng (-\u221e; -1).<\/p>\n
H\u00e0m s\u1ed1 l\u00f5m tr\u00ean kho\u1ea3ng (1; +\u221e)<\/p>\n
H\u00e0m s\u1ed1 c\u00f3 1 \u0111i\u1ec3m u\u1ed1n u(1; -16\/3)<\/p>\n
B\u1ea3ng bi\u1ebfn thi\u00ean<\/p>\n
<\/p>\n
– \u0110\u1ed3 th\u1ecb<\/p>\n
\u0110i qua (0; -5\/3);(5;0)<\/p>\n
<\/p>\n
b) TX\u0110: R<\/p>\n
y’=3x^2-3=0 <=> x=\u00b11<\/p>\n
y’> 0 tr\u00ean kho\u1ea3ng (-\u221e; -1)v\u00e0 (1; +\u221e)<\/p>\n
y'< 0 tr\u00ean kho\u1ea3ng (-1; 1)<\/p>\n
yC\u0110<\/sub>=y(-1)=3;yCT<\/sub>=y(1)=-1<\/p>\n<\/p>\n
B\u1ea3ng x\u00e9t d\u1ea5u y\u2019\u2019<\/p>\n
\n\n\nX<\/td>\n | -\u221e<\/td>\n | <\/td>\n | 0<\/td>\n | <\/td>\n | +\u221e<\/td>\n<\/tr>\n |
\nY\u2019\u2019<\/td>\n | <\/td>\n | –<\/td>\n | 0<\/td>\n | +<\/td>\n | <\/td>\n<\/tr>\n |
\n\u0110\u1ed3 th\u1ecb<\/td>\n | L\u1ed3i<\/td>\n | <\/td>\n | \u0111i\u1ec3m u\u1ed1n u(0; 1)<\/td>\n | l\u00f5m<\/td>\n | <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n H\u00e0m s\u1ed1 c\u00f3 1 \u0111i\u1ec3m u\u1ed1n u(0; 1)<\/p>\n \u2022 B\u1ea3ng bi\u1ebfn thi\u00ean<\/p>\n <\/p>\n \u2022 \u0110\u1ed3 th\u1ecb<\/p>\n \u0110i qua (0; 1)<\/p>\n <\/p>\n <\/p>\n + T\u1eadp x\u00e1c \u0111\u1ecbnh D = R.<\/p>\n y’=-x2<\/sup>+2x-2=-[(x-1)2<\/sup>+1]<0 \u2200x \u2208D<\/p>\n– H\u00e0m s\u1ed1 lu\u00f4n ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng (-\u221e; +\u221e)<\/p>\n – H\u00e0m s\u1ed1 kh\u00f4ng c\u00f3 c\u1ef1c tr\u1ecb<\/p>\n <\/p>\n – \u0110\u1ed3 th\u1ecb kh\u00f4ng c\u00f3 ti\u1ec7m c\u1eadn.<\/p>\n y”=-2x+2;y”=0 => x = 1<\/p>\n – H\u00e0m s\u1ed1 l\u1ed3i tr\u00ean (1; +\u221e)l\u00f5m tr\u00ean (-\u221e;1) nh\u1eadn I(1; -2) l\u00e0m \u0111i\u1ec3m u\u1ed1n.<\/p>\n B\u1ea3ng bi\u1ebfn thi\u00ean.<\/p>\n <\/p>\n d) y=x3<\/sup>-3x2<\/sup>+3x+1<\/p>\nT\u1eadp x\u00e1c \u0111\u1ecbnh D = R<\/p>\n y’=3x2<\/sup>-6x+3=3(x-1)2<\/sup>>0 \u2200x \u2208D<\/p>\n– H\u00e0m s\u1ed1 lu\u00f4n \u0111\u1ed3ng bi\u1ebfn (-\u221e; +\u221e)<\/p>\n – H\u00e0m s\u1ed1 kh\u00f4ng c\u00f3 c\u1ef1c tr\u1ecb<\/p>\n <\/p>\n – \u0110\u1ed3 th\u1ecb kh\u00f4ng c\u00f3 ti\u1ec7m c\u1eadn<\/p>\n y”=6x-6;y”=0 => x = 1<\/p>\n – \u0110\u1ed3 th\u1ecb l\u1ed3i tr\u00ean (-\u221e;1)<\/p>\n – \u0110\u1ed3 th\u1ecb l\u00f5m tr\u00ean (1; +\u221e)<\/p>\n \u0110\u1ed3 th\u1ecb nh\u1eadn I(1; 2) l\u00e0m t\u00e2m \u0111\u1ed1i x\u1ee9ng.<\/p>\n B\u1ea3ng bi\u1ebfn thi\u00ean<\/p>\n <\/p>\n B\u00e0i 43 (trang 44 sgk Gi\u1ea3i T\u00edch 12 12 n\u00e2ng cao):<\/b><\/span><\/p>\na) Kh\u1ea3o s\u00e1t v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 sau: y=-x4<\/sup>+2x2<\/sup>-2<\/p>\nb) T\u00f9y theo c\u00e1c gi\u00e1 tr\u1ecb c\u1ee7a m h\u00e3y bi\u1ec7n lu\u1eadn s\u1ed1 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh -x4<\/sup>+2x2<\/sup>-2=m<\/p>\nc) Vi\u1ebft Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn t\u1ea1i c\u00e1c \u0111i\u1ec3m u\u1ed1n c\u1ee7a \u0111\u1ed3 th\u1ecb.<\/p>\n L\u1eddi gi\u1ea3i:<\/b><\/p>\n a) TX\u0110: R<\/p>\n <\/p>\n * y’=-4x3<\/sup>+4x=4x(-x2<\/sup>+1)=0<\/p>\ny’>0 tr\u00ean kho\u1ea3ng (-\u221e; -1)v\u00e0 (0;1)<\/p>\n y'<0 tr\u00ean kho\u1ea3ng (-1;0) v\u00e0 (1; +\u221e)<\/p>\n yCT<\/sub>=y(0)=-2;yC\u0110<\/sub>=y(-1)=-1<\/p>\n<\/p>\n – y”=-12x2<\/sup>+4=4(-3x2<\/sup>+1)=0<\/p>\n<\/p>\n B\u1ea3ng x\u00e9t d\u1ea5u y\u2019\u2019<\/p>\n <\/p>\n B\u1ea3ng bi\u1ebfn thi\u00ean.<\/p>\n <\/p>\n \u2022 \u0110\u1ed3 th\u1ecb<\/p>\n \u0110\u1ed3 th\u1ecb nh\u1eadn Oy l\u00e0m tr\u1ee5c \u0111\u1ed1i x\u1ee9ng giao v\u1edbi Oy (0; -2)<\/p>\n <\/p>\n b) S\u1ed1 nghi\u1ec7m c\u1ee7a Ph\u01b0\u01a1ng tr\u00ecnh -x4<\/sup>+2x2<\/sup>-2=m (1) l\u00e0 giao \u0111i\u1ec3m c\u1ee7a \u0111\u1ed3 th\u1ecb y=-x4<\/sup>+2x2<\/sup>-2 v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng y = m.<\/p>\nN\u1ebfu m > -1 th\u00ec Ph\u01b0\u01a1ng tr\u00ecnh (1) v\u00f4 nghi\u1ec7m.<\/p>\n N\u1ebfu m = 1 th\u00ec Ph\u01b0\u01a1ng tr\u00ecnh (1) c\u00f3 2 nghi\u1ec7m.<\/p>\n N\u1ebfu -2 < m < -1: Ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 4 nghi\u1ec7m.<\/p>\n N\u1ebfu m = -2 ph\u01b0\u01a1ng tr\u00ecnh (1) c\u00f3 3 nghi\u1ec7m<\/p>\n N\u1ebfu m < -2: Ph\u01b0\u01a1ng tr\u00ecnh (1) c\u00f3 2 nghi\u1ec7m<\/p>\n K\u1ebft lu\u1eadn:<\/p>\n m > -1: Ph\u01b0\u01a1ng tr\u00ecnh (1) v\u00f4 nghi\u1ec7m.<\/p>\n <\/p>\n Ph\u01b0\u01a1ng tr\u00ecnh (1) c\u00f3 2 nghi\u1ec7m.<\/p>\n m=\u22122: Ph\u01b0\u01a1ng tr\u00ecnh (1) c\u00f3 3 nghi\u1ec7m.<\/p>\n -2 < m < -1 ph\u01b0\u01a1ng tr\u00ecnh (1) c\u00f3 4 nghi\u1ec7m.<\/p>\n c) H\u00e0m s\u1ed1 y=-x4<\/sup>+2x2<\/sup>-2 c\u00f3 2 \u0111i\u1ec3m u\u1ed1n \u0111\u00f3 l\u00e0:<\/p>\n<\/p>\n Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn u\u1ed1n<\/p>\n <\/p>\n Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn t\u1ea1i \u0111i\u1ec3m u\u1ed1n<\/p>\n <\/p>\n V\u1eady \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 \u0111\u00e3 cho c\u00f3 2 ti\u1ebfp tuy\u1ebfn:<\/p>\n <\/p>\n B\u00e0i 44 (trang 44 sgk Gi\u1ea3i T\u00edch 12 12 n\u00e2ng cao):<\/b>\u00a0<\/span><\/p>\nKh\u1ea3o s\u00e1t v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 sau:<\/p>\n a) y=x4<\/sup>-3x2<\/sup>+2 \u00a0\u00a0\u00a0 b) y=-x4<\/sup>-2x2<\/sup>+1<\/p>\nL\u1eddi gi\u1ea3i:<\/b><\/p>\n a) TX\u0110: R<\/p>\n y’=4x3<\/sup>-6x=2x(2x2<\/sup>-3)=0<\/p>\n<\/p>\n \u2022B\u1ea3ng x\u00e9t d\u1ea5u y\u2019\u2019<\/p>\n <\/p>\n \u2022 B\u1ea3ng thi\u00ean thi\u00ean<\/p>\n <\/p>\n \u2022 \u0110\u1ed3 th\u1ecb<\/p>\n \u0110\u1ed3 th\u1ecb nh\u1eadn Oy l\u00e0m tr\u1ee5c \u0111\u1ed1i x\u1ee9ng<\/p>\n Giao v\u1edbi Oy (0; 2)<\/p>\n Giao v\u1edbi Ox (-1; 0); (1; 0)<\/p>\n (-\u221a2;0);(\u221a2;0)<\/p>\n <\/p>\n b) y=-x4<\/sup>-2x2<\/sup>+1<\/p>\nTX\u0110: R<\/p>\n y’=-4x5<\/sup>-4x=4x(x2<\/sup>-1)=0 <=> x=0<\/p>\ny’> 0 tr\u00ean kho\u1ea3ng (-\u221e;0),y'< 0 tr\u00ean kho\u1ea3ng (0; +\u221e)<\/p>\n yC\u0110<\/sub>=y(0)=1<\/p>\n<\/p>\n y”=-12x2<\/sup>-4<0 \u2200x \u2208R<\/p>\nB\u1ea3ng x\u00e9t d\u1ea5u y\u2019\u2019<\/p>\n \n\n\nX<\/td>\n | -\u221e<\/td>\n | –<\/td>\n | +\u221e<\/td>\n<\/tr>\n | \nY\u2019\u2019<\/td>\n | <\/td>\n | L\u1ed3i<\/td>\n | <\/td>\n<\/tr>\n | \n\u0110\u1ed3 th\u1ecb<\/td>\n | <\/td>\n | <\/td>\n | <\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n H\u00e0m s\u1ed1 l\u1ed3i tr\u00ean kho\u1ea3ng (-\u221e; +\u221e)<\/p>\n B\u1ea3ng bi\u1ebfn thi\u00ean<\/p>\n <\/p>\n \u0110\u1ed3 th\u1ecb<\/p>\n \u0110\u1ed3 th\u1ecb nh\u1eadn Oy l\u00e0m tr\u1ee5c \u0111\u1ed1i x\u1ee9ng giao v\u1edbi Oy (0; 1)<\/p>\n <\/p>\n","protected":false},"excerpt":{"rendered":" B\u00e0i 40 (trang 43 sgk Gi\u1ea3i T\u00edch 12 12 n\u00e2ng cao): a) Kh\u1ea3o s\u00e1t v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y=x3+3×2-4 b) Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u1ed3 th\u1ecb t\u1ea1i \u0111i\u1ec3m u\u1ed1n. c) Ch\u1ee9ng minh r\u1eb1ng \u0111i\u1ec3m u\u1ed1n l\u00e0m t\u00e2m \u0111\u1ed1i x\u1ee9ng c\u1ee7a \u0111\u1ed3 th\u1ecb. L\u1eddi gi\u1ea3i: a) TX\u0110: R y’>0 tr\u00ean kho\u1ea3ng (-\u221e; […]<\/p>\n","protected":false},"author":3,"featured_media":23876,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"tdm_status":"","tdm_grid_status":""},"categories":[1302],"tags":[1392,1393],"yoast_head":"\n \u0110\u1ea1i s\u1ed1 - Ch\u01b0\u01a1ng 1 - B\u00e0i 6: Kh\u1ea3o s\u00e1t s\u1ef1 bi\u1ebfn thi\u00ean v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb c\u1ee7a m\u1ed9t s\u1ed1 h\u00e0m \u0111a th\u1ee9c<\/title>\n\n\n\n\n\n\n\n\n\n\n\t\n\t\n\t\n\n\n\n\t\n\t\n\t\n | |