B\u00e0i 50 (trang 49 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao):<\/b>\u00a0<\/span><\/p>\nKh\u1ea3o s\u00e1t v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb c\u00e1c h\u00e0m s\u1ed1 sau:<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/1-510.png\")
<\/p>\n
L\u1eddi gi\u1ea3i:<\/b><\/p>\n
a) TX\u0110 D = R \\ {1}<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/2-345.png\")
<\/p>\n
=> H\u00e0m s\u1ed1 lu\u00f4n ngh\u1ecbch bi\u1ebfn tr\u00ean (-\u221e;1) v\u00e0 (1;+\u221e)<\/p>\n
H\u00e0m s\u1ed1 kh\u00f4ng c\u00f3 c\u1ef1c tr\u1ecb<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/3-181.png\")
<\/p>\n
V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng x = 1 l\u00e0 ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/4-105.png\")
<\/p>\n
B\u1ea3ng bi\u1ebfn thi\u00ean<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/5-75.png\")
<\/p>\n
\u0110\u1ed3 th\u1ecb giao v\u1edbi Ox l\u00e0 A(-1; 0)<\/p>\n
\u0110\u1ed3 th\u1ecb giao v\u1edbi Oy l\u00e0 B(0; -1)<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/6-44.png\")
<\/p>\n
\u0110\u1ed3 th\u1ecb nh\u1eadn I(1; 1) l\u00e0m t\u00e2m \u0111\u1ed1i x\u1ee9ng.<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/8-21.png\")
<\/p>\n
H\u00e0m s\u1ed1 lu\u00f4ng \u0111\u1ed3ng bi\u1ebfn tr\u00ean (-\u221e;1\/3) v\u00e0 (1\/3; +\u221e)<\/p>\n
H\u00e0m s\u1ed1 kh\u00f4ng c\u00f3 c\u1ef1c tr\u1ecb.<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/9-12.png\")
<\/p>\n
V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng y=-2\/3 l\u00e0 ti\u1ec7m c\u1eadn ngang<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/10-5.png\")
<\/p>\n
V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng x=1\/3 l\u00e0 ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n
B\u1ea3ng bi\u1ebfn thi\u00ean<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/11-3.png\")
<\/p>\n
\u0110\u1ed3 th\u1ecb<\/p>\n
+ Giao v\u1edbi Ox l\u00e0 A(-1\/2;0)<\/p>\n
+ Giao v\u1edbi Oy l\u00e0 B(0; 1)<\/p>\n
\u0110\u1ed3 th\u1ecb nh\u1eadn I(1\/3; -2\/3) l\u00e0m t\u00e2m \u0111\u1ed1i x\u1ee9ng.<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/12-4.png\")
<\/p>\n
B\u00e0i 51 (trang 49 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao):<\/b><\/span><\/p>\na) Kh\u1ea3o s\u00e1t v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb c\u1ee7a h\u00e0m s\u1ed1<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/1-511.png\")
<\/p>\n
b) Ch\u1ee9ng minh r\u1eb1ng giao \u0111i\u1ec3m I c\u1ee7a hai ti\u1ec7m c\u1eadn c\u1ee7a \u0111\u1ed3 th\u1ecb l\u00e0 t\u00e2m \u0111\u1ed1i x\u1ee9ng c\u1ee7a n\u00f3.<\/p>\n
c) T\u00f9y gi\u00e1 tr\u1ecb c\u1ee7a m hay bi\u1ec7n lu\u1eadn s\u1ed1 nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng tr\u00ecnh<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/2-346.png\")
<\/p>\n
L\u1eddi gi\u1ea3i:<\/b><\/p>\n<\/div>\n
a) TX\u0110: D = R \\{-2}<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/3-182.png\")
<\/p>\n
H\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng (-\u221e; -3) v\u00e0 (-1; +\u221e)<\/p>\n
H\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn tr\u00ean (-3; -2)v\u00e0 (-2; -1)<\/p>\n
yC\u0110<\/sub>=y(-3)=-7<\/p>\nyCT<\/sub>=y(-1)=1<\/p>\n![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/4-106.png\")
<\/p>\n
V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng x = -2 l\u00e0 ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/5-76.png\")
<\/p>\n
V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng y = 2x + 1 l\u00e0 ti\u1ec7m c\u1eadn xi\u00ean.<\/p>\n
B\u1ea3ng bi\u1ebfn thi\u00ean.<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/6-45.png\")
<\/p>\n
\u0110\u1ed3 th\u1ecb giao v\u1edbi Oy l\u00e0 A(0; 2)<\/p>\n
\u0110i qua B(1;1)<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/7-34.png\")
<\/p>\n
b) Giao \u0111i\u1ec3m c\u1ee7a 2 \u0111\u01b0\u1eddng ti\u1ec7m c\u1eadn I(-2; -3)<\/p>\n
\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c tr\u1ee5c t\u1ecda \u0111\u1ed9<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/8-22.png\")
<\/p>\n
\u0110\u00e2y l\u00e0 h\u00e0m s\u1ed1 l\u1ec3 n\u00ean \u0111\u1ed3 th\u1ecb c\u00f3 t\u00e2m \u0111\u1ed1i x\u1ee9ng l\u00e0 \u0111i\u1ec3m I.<\/p>\n
c) Ta c\u00f3 h\u01b0\u01a1ng tr\u00ecnh l\u00e0:<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/9-13.png\")
<\/p>\n
V\u1ebd 2 \u0111\u01b0\u1eddng<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/10-6.png\")
<\/p>\n
tr\u00ean c\u00f9ng m\u1ed9t h\u1ec7 tr\u1ee5c.<\/p>\n
+ -m>1 <=> m<-1, \u0111\u01b0\u1eddng th\u1eb3ng y =-m c\u1eaft \u0111\u1ed3 th\u1ecb t\u1ea1i 2 \u0111i\u1ec3m => Ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 2 nghi\u1ec7m ph\u00e2n bi\u1ec7t.<\/p>\n
+ -7<-m<1 <=> -1<m<7, \u0111\u01b0\u1eddng th\u1eb3ng y=-m kh\u00f4ng c\u1eaft \u0111\u1ed3 th\u1ecb => Ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 nghi\u1ec7m.<\/p>\n
+ -m<-7 => M > 7, \u0111\u01b0\u1eddng th\u1eb3ng y = -m c\u1eaft \u0111\u1ed3 th\u1ecb t\u1ea1i 2 \u0111i\u1ec3m => ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 2 nghi\u1ec7m ph\u00e2n bi\u1ec7t.<\/p>\n
K\u1ebft lu\u1eadn:<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/11-4.png\")
<\/p>\n
m=-1,m=7 ph\u01b0\u01a1ng tr\u00ecnh c\u00f3 1 nghi\u1ec7m.<\/p>\n
-1<m<7 ph\u01b0\u01a1ng tr\u00ecnh v\u00f4 nghi\u1ec7m.<\/p>\n
B\u00e0i 52 (trang 50 sgk Gi\u1ea3i T\u00edch 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
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/1-512.png\")
<\/p>\n
L\u1eddi gi\u1ea3i:<\/b><\/p>\n
a) TX\u0110: D = R \\ {1}<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/2-347.png\")
<\/p>\n
H\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng (-\u221e; -1) v\u00e0 (3; +\u221e)<\/p>\n
H\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng (1-;1) v\u00e0 (1;3)<\/p>\n
yC\u0110<\/sub>=y(-1)=-5;yCT<\/sub>=y(3)=3<\/p>\n![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/3-183.png\")
<\/p>\n
V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng x = 1 l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n
B\u1ea3ng bi\u1ebfn thi\u00ean<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/4-107.png\")
<\/p>\n
\u0110\u1ed3 th\u1ecb giao v\u1edbi Oy (0; -6)<\/p>\n
\u0110\u1ed3 th\u1ecb \u0111i qua A(-3; -6)<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/5-77.png\")
<\/p>\n
H\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng (0;1)v\u00e0 (1;2)<\/p>\n
H\u00e0m s\u1ed1 ngh\u1ecbch bi\u1ebfn tr\u00ean kho\u1ea3ng -\u221e,0) v\u00e0 (2; +\u221e)<\/p>\n
yC\u0110<\/sub>=y(2)=-7;yCT<\/sub>=y(0)=1<\/p>\n![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/7-35.png\")
<\/p>\n
V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng x = 1 l\u00e0m ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n
B\u1ea3ng bi\u1ebfn thi\u00ean.<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/8-23.png\")
<\/p>\n
\u0110\u1ed3 th\u1ecb \u0111i qua \u0111i\u1ec3m A(-1; 2) B(2; -7)<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/9-14.png\")
<\/p>\n
\n
<\/div>\n<\/div>\n
b) TX\u0110: D = R \\ {-2}<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/10-7.png\")
<\/p>\n
V\u1eady h\u00e0m s\u1ed1 lu\u00f4n \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng (-\u221e; -2) v\u00e0 (-2; +\u221e)<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/11-5.png\")
<\/p>\n
V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng y = 2x \u2013 1 l\u00e0 ti\u1ec7m c\u1eadn xi\u00ean.<\/p>\n
B\u1ea3ng bi\u1ebfn thi\u00ean.<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/12-5.png\")
<\/p>\n
\u0110\u1ed3 th\u1ecb giao v\u1edbi Oy A(0; -3\/2)<\/p>\n
\u0110i qua B(-1; -4)<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/13-1.png\")
<\/p>\n
c) TX\u0110: D = R \\ {1}<\/p>\n
![\"Gi\u1ea3i](\"http:\/\/vietjack.com\/giai-toan-12-nang-cao\/images\/bai-52-trang-50-sgk-giai-tich-12-nang-cao-12.PNG\")
<\/p>\n
V\u1eady h\u00e0m s\u1ed1 lu\u00f4n ngh\u1ecbch bi\u00ean tr\u00ean (-\u221e;1) v\u00e0 1; +\u221e)<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/14-2.png\")
<\/p>\n
V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng y = -x + 2 l\u00e0 ti\u1ec7m c\u1eadn xi\u00ean<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/15.png\")
<\/p>\n
V\u1eady \u0111\u01b0\u1eddng th\u1eb3ng x = 1 l\u00e0 ti\u1ec7m c\u1eadn \u0111\u1ee9ng.<\/p>\n
B\u1ea3ng bi\u1ebfn thi\u00ean.<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/16-1.png\")
<\/p>\n
\u0110\u1eb7c bi\u1ec7t A(0; 1)<\/p>\n
B(-1; 2)<\/p>\n
C(2; 1)<\/p>\n
![\"\"](\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/03\/17-1.png\")
<\/p>\n","protected":false},"excerpt":{"rendered":"
B\u00e0i 49 (trang 49 sgk Gi\u1ea3i T\u00edch 12 n\u00e2ng cao): a) Kh\u1ea3o s\u00e1t v\u00e0 v\u1ebd \u0111\u1ed3 th\u1ecb c\u1ee7a h\u00e0m s\u1ed1 b) Ch\u1ee9ng minh r\u1eb1ng giao \u0111i\u1ec3m I c\u1ee7a hai ti\u1ec7m c\u1eadn c\u1ee7a \u0111\u1ed3 th\u1ecb l\u00e0 t\u00e2m \u0111\u1ed1i x\u1ee9ng c\u1ee7a n\u00f3. L\u1eddi gi\u1ea3i: – H\u00e0m s\u1ed1 \u0111\u1ed3ng bi\u1ebfn tr\u00ean kho\u1ea3ng( -\u221e,-1\/2) v\u00e0 (1\/2; +\u221e ) – […]<\/p>\n","protected":false},"author":3,"featured_media":23794,"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
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