{"id":386066,"date":"2024-09-19T15:50:25","date_gmt":"2024-09-19T08:50:25","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=386066"},"modified":"2025-12-31T10:08:19","modified_gmt":"2025-12-31T03:08:19","slug":"tiep-tuyen-la-gi","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/tiep-tuyen-la-gi\/","title":{"rendered":"Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y = f(x) t\u1ea1i \u0111i\u1ec3m M(x0; f(x0)) l\u00e0 y = f'(x0)(x &#8211; x0) + f(x0), trong \u0111\u00f3 f'(x0) l\u00e0 h\u1ec7 s\u1ed1 g\u00f3c c\u1ee7a ti\u1ebfp tuy\u1ebfn. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c quan tr\u1ecdng l\u1edbp 11, gi\u00fap gi\u1ea3i b\u00e0i to\u00e1n kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1, c\u1ef1c tr\u1ecb v\u00e0 \u1ee9ng d\u1ee5ng th\u1ef1c t\u1ebf nh\u01b0 v\u1eadt l\u00fd, kinh t\u1ebf. B\u00e0i vi\u1ebft h\u01b0\u1edbng d\u1eabn chi ti\u1ebft c\u00f4ng th\u1ee9c, v\u00ed d\u1ee5 minh h\u1ecda v\u00e0 b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i.<\/span><\/p>\n<h2>Ti\u1ebfp tuy\u1ebfn l\u00e0 g\u00ec?<\/h2>\n<p>Ti\u1ebfp tuy\u1ebfn l\u00e0 m\u1ed9t kh\u00e1i ni\u1ec7m quan tr\u1ecdng trong l\u0129nh v\u1ef1c to\u00e1n h\u1ecdc, c\u1ee5 th\u1ec3 l\u00e0 h\u00ecnh h\u1ecdc v\u00e0 gi\u1ea3i t\u00edch. Hi\u1ec3u m\u1ed9t c\u00e1ch \u0111\u01a1n gi\u1ea3n, ti\u1ebfp tuy\u1ebfn l\u00e0 m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng ch\u1ec9 ch\u1ea1m v\u00e0o m\u1ed9t \u0111\u01b0\u1eddng cong t\u1ea1i m\u1ed9t \u0111i\u1ec3m duy nh\u1ea5t.<\/p>\n<ul>\n<li>Ti\u1ebfp tuy\u1ebfn trong h\u00ecnh h\u1ecdc: Ti\u1ebfp tuy\u1ebfn c\u1ee7a m\u1ed9t \u0111\u01b0\u1eddng cong t\u1ea1i m\u1ed9t \u0111i\u1ec3m l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng \u0111i qua \u0111i\u1ec3m \u0111\u00f3 v\u00e0 c\u00f3 h\u01b0\u1edbng tr\u00f9ng v\u1edbi h\u01b0\u1edbng c\u1ee7a \u0111\u01b0\u1eddng cong t\u1ea1i \u0111i\u1ec3m \u0111\u00f3. N\u00f3 l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng ch\u1ec9 ch\u1ea1m v\u00e0o \u0111\u01b0\u1eddng tr\u00f2n t\u1ea1i m\u1ed9t \u0111i\u1ec3m duy nh\u1ea5t v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi b\u00e1n k\u00ednh t\u1ea1i \u0111i\u1ec3m \u0111\u00f3.<\/li>\n<li>Ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1: L\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng t\u1ed1t nh\u1ea5t x\u1ea5p x\u1ec9 \u0111\u1ed3 th\u1ecb t\u1ea1i m\u1ed9t \u0111i\u1ec3m cho tr\u01b0\u1edbc. N\u00f3 cho bi\u1ebft h\u01b0\u1edbng thay \u0111\u1ed5i c\u1ee7a \u0111\u1ed3 th\u1ecb t\u1ea1i \u0111i\u1ec3m \u0111\u00f3.<\/li>\n<\/ul>\n<p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-386105 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-1.jpg\" alt=\"tiep-tuyen-la-gi-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>T\u00ednh ch\u1ea5t c\u1ee7a ti\u1ebfp tuy\u1ebfn l\u00e0 g\u00ec?<\/h2>\n<p>\u0110\u1ec3 c\u00f3 th\u1ec3 \u1ee9ng d\u1ee5ng ti\u1ebfp tuy\u1ebfn v\u00e0o to\u00e1n h\u1ecdc, b\u00ean c\u1ea1nh vi\u1ec7c n\u1eafm \u0111\u01b0\u1ee3c kh\u00e1i ni\u1ec7m, m\u1ecdi ng\u01b0\u1eddi c\u1ea7n hi\u1ec3u t\u00ednh ch\u1ea5t c\u1ee7a ti\u1ebfp tuy\u1ebfn. \u0110\u00f3 l\u00e0:<\/p>\n<p>Ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n lu\u00f4n vu\u00f4ng g\u00f3c v\u1edbi b\u00e1n k\u00ednh \u0111i qua ti\u1ebfp \u0111i\u1ec3m. Ch\u00ednh t\u00ednh ch\u1ea5t n\u00e0y gi\u00fap ta nh\u1eadn bi\u1ebft m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng c\u00f3 ph\u1ea3i l\u00e0 ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n hay kh\u00f4ng.<\/p>\n<p>Vu\u00f4ng g\u00f3c v\u1edbi b\u00e1n k\u00ednh: N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft \u0111\u01b0\u1eddng tr\u00f2n t\u1ea1i hai \u0111i\u1ec3m ph\u00e2n bi\u1ec7t, th\u00ec n\u00f3 kh\u00f4ng th\u1ec3 vu\u00f4ng g\u00f3c v\u1edbi b\u00e1n k\u00ednh t\u1ea1i c\u1ea3 hai \u0111i\u1ec3m \u0111\u00f3. Do \u0111\u00f3, \u0111\u1ec3 m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi b\u00e1n k\u00ednh t\u1ea1i m\u1ed9t \u0111i\u1ec3m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n, th\u00ec n\u00f3 ch\u1ec9 c\u00f3 th\u1ec3 c\u1eaft \u0111\u01b0\u1eddng tr\u00f2n t\u1ea1i \u0111\u00fang m\u1ed9t \u0111i\u1ec3m, t\u1ee9c l\u00e0 n\u00f3 l\u00e0 ti\u1ebfp tuy\u1ebfn.<\/p>\n<p>M\u1ed9t \u0111i\u1ec3m chung: N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng v\u00e0 m\u1ed9t \u0111\u01b0\u1eddng tr\u00f2n ch\u1ec9 c\u00f3 m\u1ed9t \u0111i\u1ec3m chung duy nh\u1ea5t, th\u00ec \u0111\u01b0\u1eddng th\u1eb3ng \u0111\u00f3 ch\u00ednh l\u00e0 ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n.<\/p>\n<p><img decoding=\"async\" class=\"size-full wp-image-386106 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-2.jpg\" alt=\"tiep-tuyen-la-gi-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h2>C\u00e1ch v\u1ebd ti\u1ebfp tuy\u1ebfn \u0111\u01b0\u1eddng tr\u00f2n<\/h2>\n<p>Hi\u1ec3u \u0111\u01b0\u1ee3c kh\u00e1i ni\u1ec7m v\u00e0 t\u00ednh ch\u1ea5t c\u1ee7a ti\u1ebfp tuy\u1ebfn l\u00e0 g\u00ec, ch\u00fang ta c\u00f3 th\u1ec3 th\u1ef1c h\u00e0nh vi\u1ec7c v\u1ebd ti\u1ebfp tuy\u1ebfn \u0111\u01b0\u1eddng tr\u00f2n. C\u00f3 3 tr\u01b0\u1eddng h\u1ee3p v\u1edbi 3 c\u00e1ch v\u1ebd nh\u01b0 sau<\/p>\n<h3 data-sourcepos=\"7:1-7:6\">V\u1ebd ti\u1ebfp tuy\u1ebfn t\u1ea1i m\u1ed9t \u0111i\u1ec3m tr\u00ean \u0111\u01b0\u1eddng tr\u00f2n<\/h3>\n<p>B\u01b0\u1edbc 1: V\u1ebd b\u00e1n k\u00ednh \u0111i qua \u0111i\u1ec3m ti\u1ebfp x\u00fac.<\/p>\n<p>B\u01b0\u1edbc 2: V\u1ebd \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi b\u00e1n k\u00ednh t\u1ea1i \u0111i\u1ec3m ti\u1ebfp x\u00fac. \u0110\u01b0\u1eddng th\u1eb3ng n\u00e0y ch\u00ednh l\u00e0 ti\u1ebfp tuy\u1ebfn c\u1ea7n t\u00ecm.<\/p>\n<h3 data-sourcepos=\"12:1-12:53\">V\u1ebd ti\u1ebfp tuy\u1ebfn \u0111i qua m\u1ed9t \u0111i\u1ec3m n\u1eb1m ngo\u00e0i \u0111\u01b0\u1eddng tr\u00f2n<\/h3>\n<p>B\u01b0\u1edbc 1: N\u1ed1i t\u00e2m O c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n v\u1edbi \u0111i\u1ec3m A n\u1eb1m ngo\u00e0i \u0111\u01b0\u1eddng tr\u00f2n.<\/p>\n<p>B\u01b0\u1edbc 2: V\u1ebd \u0111\u01b0\u1eddng tr\u00f2n \u0111\u01b0\u1eddng k\u00ednh OA.<\/p>\n<p>B\u01b0\u1edbc 3: G\u1ecdi c\u00e1c giao \u0111i\u1ec3m c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n \u0111\u01b0\u1eddng k\u00ednh OA v\u1edbi \u0111\u01b0\u1eddng tr\u00f2n (O) l\u00e0 M v\u00e0 N.<\/p>\n<p>B\u01b0\u1edbc 4: V\u1ebd c\u00e1c \u0111\u01b0\u1eddng th\u1eb3ng AM v\u00e0 AN. AM v\u00e0 AN ch\u00ednh l\u00e0 hai ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n (O) \u0111i qua \u0111i\u1ec3m A.<\/p>\n<p data-sourcepos=\"21:1-21:61\"><img decoding=\"async\" class=\"size-full wp-image-386107 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-3.jpg\" alt=\"tiep-tuyen-la-gi-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h3 data-sourcepos=\"21:1-21:61\">V\u1ebd ti\u1ebfp tuy\u1ebfn chung c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n<\/h3>\n<p>Tr\u01b0\u1eddng h\u1ee3p hai \u0111\u01b0\u1eddng tr\u00f2n ti\u1ebfp x\u00fac ngo\u00e0i: Ti\u1ebfp tuy\u1ebfn chung l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng \u0111i qua ti\u1ebfp \u0111i\u1ec3m c\u1ee7a hai \u0111\u01b0\u1eddng tr\u00f2n.<\/p>\n<p>Tr\u01b0\u1eddng h\u1ee3p hai \u0111\u01b0\u1eddng tr\u00f2n ti\u1ebfp x\u00fac trong: Ti\u1ebfp tuy\u1ebfn chung l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng n\u1ed1i t\u00e2m t\u1ea1i ti\u1ebfp \u0111i\u1ec3m.<\/p>\n<p>Tr\u01b0\u1eddng h\u1ee3p hai \u0111\u01b0\u1eddng tr\u00f2n c\u1eaft nhau: C\u00f3 hai ti\u1ebfp tuy\u1ebfn chung ngo\u00e0i v\u00e0 hai ti\u1ebfp tuy\u1ebfn chung trong. C\u00e1ch v\u1ebd t\u01b0\u01a1ng t\u1ef1 nh\u01b0 tr\u01b0\u1eddng h\u1ee3p hai \u0111\u01b0\u1eddng tr\u00f2n ti\u1ebfp x\u00fac.<\/p>\n<h2>C\u00e1ch vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n<\/h2>\n<p>Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n l\u00e0 m\u1ed9t k\u1ef9 n\u0103ng quan tr\u1ecdng trong h\u00ecnh h\u1ecdc gi\u1ea3i t\u00edch, \u0111\u1eb7c bi\u1ec7t khi nghi\u00ean c\u1ee9u v\u1ec1 \u0111\u01b0\u1eddng tr\u00f2n v\u00e0 c\u00e1c \u0111\u01b0\u1eddng conic. Vi\u1ec7c t\u00ecm ra ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn l\u00e0 g\u00ec s\u1ebd gi\u00fap ch\u00fang ta t\u00ecm ra giao \u0111i\u1ec3m, t\u00ednh to\u00e1n kho\u1ea3ng c\u00e1ch hay ch\u1ee9ng minh c\u00e1c t\u00ednh ch\u1ea5t kh\u00e1c li\u00ean quan \u0111\u1ebfn \u0111\u01b0\u1eddng tr\u00f2n.<\/p>\n<h3>Hi\u1ec3u v\u1ec1 ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n<\/h3>\n<p>Nh\u01b0 \u0111\u00e3 gi\u1ea3i th\u00edch \u1edf ph\u1ea7n kh\u00e1i ni\u1ec7m ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n l\u00e0 g\u00ec, \u0111\u00e2y l\u00e0 \u0111\u01b0\u1eddng th\u1eb3ng ch\u1ec9 c\u00f3 m\u1ed9t \u0111i\u1ec3m chung v\u1edbi \u0111\u01b0\u1eddng tr\u00f2n. \u0110i\u1ec3m chung n\u00e0y g\u1ecdi l\u00e0 ti\u1ebfp \u0111i\u1ec3m. Ti\u1ebfp tuy\u1ebfn lu\u00f4n vu\u00f4ng g\u00f3c v\u1edbi b\u00e1n k\u00ednh \u0111i qua ti\u1ebfp \u0111i\u1ec3m.<\/p>\n<h3 class=\"\" data-sourcepos=\"26:1-26:31\">C\u00e1c b\u01b0\u1edbc gi\u1ea3i chung<\/h3>\n<ol>\n<li>X\u00e1c \u0111\u1ecbnh t\u00e2m v\u00e0 b\u00e1n k\u00ednh c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n: T\u1eeb ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng tr\u00f2n \u0111\u00e3 cho.<\/li>\n<li>X\u00e1c \u0111\u1ecbnh \u0111i\u1ec3m ti\u1ebfp x\u00fac ho\u1eb7c \u0111i\u1ec1u ki\u1ec7n c\u1ee7a ti\u1ebfp tuy\u1ebfn l\u00e0 g\u00ec: T\u00f9y thu\u1ed9c v\u00e0o \u0111\u1ec1 b\u00e0i.<\/li>\n<li>T\u00ecm vecto ph\u00e1p tuy\u1ebfn c\u1ee7a ti\u1ebfp tuy\u1ebfn: D\u1ef1a v\u00e0o t\u00ednh ch\u1ea5t vu\u00f4ng g\u00f3c v\u1edbi b\u00e1n k\u00ednh.<\/li>\n<li>Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng: S\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c t\u1ed5ng qu\u00e1t c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng ho\u1eb7c c\u00f4ng th\u1ee9c kho\u1ea3ng c\u00e1ch.<\/li>\n<\/ol>\n<h3>C\u00e1c tr\u01b0\u1eddng h\u1ee3p v\u00e0 c\u00e1ch vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh<\/h3>\n<p>C\u00f3 m\u1ed9t s\u1ed1 tr\u01b0\u1eddng h\u1ee3p th\u01b0\u1eddng g\u1eb7p khi vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n, m\u1ed7i tr\u01b0\u1eddng h\u1ee3p s\u1ebd c\u00f3 c\u00e1ch gi\u1ea3i kh\u00e1c nhau.<\/p>\n<h4>Tr\u01b0\u1eddng h\u1ee3p 1: Bi\u1ebft t\u1ecda \u0111\u1ed9 t\u00e2m I v\u00e0 b\u00e1n k\u00ednh R c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n, bi\u1ebft t\u1ecda \u0111\u1ed9 ti\u1ebfp \u0111i\u1ec3m M<\/h4>\n<p>B\u01b0\u1edbc 1: T\u00ecm vecto ph\u00e1p tuy\u1ebfn c\u1ee7a ti\u1ebfp tuy\u1ebfn: Vecto ph\u00e1p tuy\u1ebfn c\u1ee7a ti\u1ebfp tuy\u1ebfn ch\u00ednh l\u00e0 vecto IM (v\u00ec IM vu\u00f4ng g\u00f3c v\u1edbi ti\u1ebfp tuy\u1ebfn).<\/p>\n<p>B\u01b0\u1edbc 2: Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng \u0111i qua M v\u00e0 c\u00f3 vecto ph\u00e1p tuy\u1ebfn IM. \u0110\u00f3 ch\u00ednh l\u00e0 ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ea7n t\u00ecm.<\/p>\n<p>C\u00f4ng th\u1ee9c t\u1ed5ng qu\u00e1t: Cho \u0111\u01b0\u1eddng tr\u00f2n (C): (x &#8211; a)\u00b2 + (y &#8211; b)\u00b2 = R\u00b2 v\u00e0 \u0111i\u1ec3m M(x\u2080, y\u2080) thu\u1ed9c (C). Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a (C) t\u1ea1i M l\u00e0: (x\u2080 &#8211; a)(x &#8211; a) + (y\u2080 &#8211; b)(y &#8211; b) = R\u00b2<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-386108 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-4.jpg\" alt=\"tiep-tuyen-la-gi-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h4>Tr\u01b0\u1eddng h\u1ee3p 2: Bi\u1ebft t\u1ecda \u0111\u1ed9 t\u00e2m I v\u00e0 b\u00e1n k\u00ednh R c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n, ti\u1ebfp tuy\u1ebfn song song v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng d<\/h4>\n<p>B\u01b0\u1edbc 1: T\u00ecm vecto ph\u00e1p tuy\u1ebfn n c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng d.<\/p>\n<p>B\u01b0\u1edbc 2: Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u00f3 d\u1ea1ng: nx + my + c = 0 (v\u1edbi m, n \u0111\u00e3 bi\u1ebft).<\/p>\n<p>B\u01b0\u1edbc 3: T\u00ednh kho\u1ea3ng c\u00e1ch t\u1eeb t\u00e2m I \u0111\u1ebfn \u0111\u01b0\u1eddng th\u1eb3ng v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c v\u00e0 cho b\u1eb1ng R. Gi\u1ea3i ph\u01b0\u01a1ng tr\u00ecnh t\u00ecm c.<\/p>\n<h4>Tr\u01b0\u1eddng h\u1ee3p 3: Bi\u1ebft t\u1ecda \u0111\u1ed9 t\u00e2m I v\u00e0 b\u00e1n k\u00ednh R c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n, ti\u1ebfp tuy\u1ebfn vu\u00f4ng g\u00f3c v\u1edbi \u0111\u01b0\u1eddng th\u1eb3ng d<\/h4>\n<p>B\u01b0\u1edbc 1: T\u00ecm vecto ph\u00e1p tuy\u1ebfn n c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng d.<\/p>\n<p>B\u01b0\u1edbc 2: Vecto ph\u00e1p tuy\u1ebfn c\u1ee7a ti\u1ebfp tuy\u1ebfn s\u1ebd l\u00e0 vecto ch\u1ec9 ph\u01b0\u01a1ng c\u1ee7a d.<\/p>\n<p>B\u01b0\u1edbc 3: T\u01b0\u01a1ng t\u1ef1 tr\u01b0\u1eddng h\u1ee3p 1, vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng \u0111i qua M (\u0111i\u1ec3m ti\u1ebfp x\u00fac ch\u01b0a bi\u1ebft) v\u00e0 c\u00f3 vecto ph\u00e1p tuy\u1ebfn v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c.<\/p>\n<p>B\u01b0\u1edbc 4: Gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh g\u1ed3m ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng tr\u00f2n v\u00e0 ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng th\u1eb3ng v\u1eeba t\u00ecm \u0111\u01b0\u1ee3c \u0111\u1ec3 t\u00ecm t\u1ecda \u0111\u1ed9 \u0111i\u1ec3m M.<\/p>\n<p>B\u01b0\u1edbc 5: Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn \u0111i qua M.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-386110 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-5.jpg\" alt=\"tiep-tuyen-la-gi-5\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-5.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-5-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-5-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h3>V\u00ed d\u1ee5 v\u1ec1 c\u00e1ch vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn<\/h3>\n<p>Nh\u01b0 v\u1eady, b\u1ea1n \u0111\u00e3 hi\u1ec3u r\u00f5 ti\u1ebfp tuy\u1ebfn l\u00e0 g\u00ec, v\u00e0 sau \u0111\u00e2y l\u00e0 v\u00ed d\u1ee5 c\u00e1ch vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn.<\/p>\n<p>B\u00e0i to\u00e1n: Vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n (C): x\u00b2 + y\u00b2 &#8211; 4x + 2y &#8211; 4 = 0 t\u1ea1i \u0111i\u1ec3m M(3, 1).<\/p>\n<p>L\u1eddi gi\u1ea3i s\u1ebd nh\u01b0 sau:<\/p>\n<ul>\n<li>T\u00e2m I(2, -1), b\u00e1n k\u00ednh R = 3.<\/li>\n<li>Vecto IM = (1, 2) l\u00e0 vecto ph\u00e1p tuy\u1ebfn c\u1ee7a ti\u1ebfp tuy\u1ebfn.<\/li>\n<li>Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn: 1(x &#8211; 2) + 2(y + 1) = 3 \u21d4 x + 2y &#8211; 1 = 0.<\/li>\n<\/ul>\n<h3>L\u01b0u \u00fd khi vi\u1ebft ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn \u0111\u01b0\u1eddng tr\u00f2n<\/h3>\n<p>M\u1ecdi ng\u01b0\u1eddi c\u1ea7n \u0111\u1ea3m b\u1ea3o \u0111\u01b0\u1ee3c c\u00e1c y\u1ebfu t\u1ed1 sau th\u00ec m\u1edbi c\u00f3 th\u1ec3 t\u00ecm ra l\u1eddi gi\u1ea3i cho b\u00e0i to\u00e1n.<\/p>\n<ul>\n<li>Ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng tr\u00f2n: \u0110\u1ea3m b\u1ea3o b\u1ea1n vi\u1ebft \u0111\u00fang ph\u01b0\u01a1ng tr\u00ecnh \u0111\u01b0\u1eddng tr\u00f2n d\u01b0\u1edbi d\u1ea1ng chu\u1ea9n.<\/li>\n<li>Vecto ph\u00e1p tuy\u1ebfn: Hi\u1ec3u r\u00f5 kh\u00e1i ni\u1ec7m vecto ph\u00e1p tuy\u1ebfn v\u00e0 c\u00e1ch t\u00ecm vecto ph\u00e1p tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng th\u1eb3ng.<\/li>\n<li>Kho\u1ea3ng c\u00e1ch t\u1eeb \u0111i\u1ec3m \u0111\u1ebfn \u0111\u01b0\u1eddng th\u1eb3ng: S\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c t\u00ednh kho\u1ea3ng c\u00e1ch \u0111\u1ec3 gi\u1ea3i c\u00e1c b\u00e0i to\u00e1n li\u00ean quan.<\/li>\n<li>H\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh: Gi\u1ea3i h\u1ec7 ph\u01b0\u01a1ng tr\u00ecnh \u0111\u1ec3 t\u00ecm t\u1ecda \u0111\u1ed9 c\u00e1c \u0111i\u1ec3m ch\u01b0a bi\u1ebft.<\/li>\n<\/ul>\n<h2>\u1ee8ng d\u1ee5ng c\u1ee7a ti\u1ebfp tuy\u1ebfn h\u00ecnh tr\u00f2n trong c\u00e1c l\u0129nh v\u1ef1c kh\u00e1c<\/h2>\n<p>Ti\u1ebfp tuy\u1ebfn l\u00e0 g\u00ec m\u1eb7c d\u00f9 l\u00e0 m\u1ed9t kh\u00e1i ni\u1ec7m to\u00e1n h\u1ecdc c\u01a1 b\u1ea3n, nh\u01b0ng l\u1ea1i c\u00f3 nh\u1eefng \u1ee9ng d\u1ee5ng v\u00f4 c\u00f9ng r\u1ed9ng r\u00e3i v\u00e0 thi\u1ebft th\u1ef1c trong nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c nhau c\u1ee7a cu\u1ed9c s\u1ed1ng.<\/p>\n<h3>K\u1ef9 thu\u1eadt<\/h3>\n<p data-sourcepos=\"3:1-3:198\">Ti\u1ebfp tuy\u1ebfn l\u00e0 m\u1ed9t kh\u00e1i ni\u1ec7m c\u01a1 b\u1ea3n trong h\u00ecnh h\u1ecdc, \u0111\u1ea1i s\u1ed1 v\u00e0 nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c. Trong k\u1ef9 thu\u1eadt, ti\u1ebfp tuy\u1ebfn c\u00f3 vai tr\u00f2 v\u00f4 c\u00f9ng quan tr\u1ecdng Vi\u1ec7c hi\u1ec3u r\u00f5 v\u1ec1 ti\u1ebfp tuy\u1ebfn v\u00e0 c\u00e1c \u1ee9ng d\u1ee5ng c\u1ee7a n\u00f3 s\u1ebd gi\u00fap b\u1ea1n n\u00e2ng cao kh\u1ea3 n\u0103ng t\u01b0 duy k\u1ef9 thu\u1eadt.<\/p>\n<h4>C\u01a1 kh\u00ed<\/h4>\n<p>Thi\u1ebft k\u1ebf b\u00e1nh r\u0103ng: Ti\u1ebfp tuy\u1ebfn \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ednh to\u00e1n \u0111\u1ed9 \u0103n kh\u1edbp gi\u1eefa c\u00e1c r\u0103ng c\u1ee7a b\u00e1nh r\u0103ng, \u0111\u1ea3m b\u1ea3o qu\u00e1 tr\u00ecnh truy\u1ec1n \u0111\u1ed9ng tr\u01a1n tru v\u00e0 hi\u1ec7u qu\u1ea3.<\/p>\n<p>Thi\u1ebft k\u1ebf tr\u1ee5c cam: \u0110\u01b0\u1eddng cong c\u1ee7a tr\u1ee5c cam \u0111\u01b0\u1ee3c t\u1ea1o ra d\u1ef1a tr\u00ean c\u00e1c ti\u1ebfp tuy\u1ebfn \u0111\u1ec3 \u0111i\u1ec1u khi\u1ec3n chuy\u1ec3n \u0111\u1ed9ng c\u1ee7a c\u00e1c van trong \u0111\u1ed9ng c\u01a1.<\/p>\n<p>Thi\u1ebft k\u1ebf h\u1ec7 th\u1ed1ng treo: C\u00e1c ti\u1ebfp tuy\u1ebfn \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 t\u00ednh to\u00e1n g\u00f3c nghi\u00eang c\u1ee7a h\u1ec7 th\u1ed1ng treo, \u0111\u1ea3m b\u1ea3o xe di chuy\u1ec3n \u1ed5n \u0111\u1ecbnh v\u00e0 an to\u00e0n.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-386113 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-6.jpg\" alt=\"tiep-tuyen-la-gi-6\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-6.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-6-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-6-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h4>\u00d4 t\u00f4<\/h4>\n<p>H\u1ec7 th\u1ed1ng phanh: Qu\u00e1 tr\u00ecnh phanh c\u1ee7a xe d\u1ef1a tr\u00ean l\u1ef1c ma s\u00e1t gi\u1eefa m\u00e1 phanh v\u00e0 \u0111\u0129a phanh, m\u00e0 l\u1ef1c ma s\u00e1t n\u00e0y l\u1ea1i \u0111\u01b0\u1ee3c t\u00ednh to\u00e1n d\u1ef1a tr\u00ean c\u00e1c ti\u1ebfp tuy\u1ebfn.<\/p>\n<p>H\u1ec7 th\u1ed1ng d\u1eabn h\u01b0\u1edbng: C\u00e1c \u0111\u01b0\u1eddng ray, \u0111\u01b0\u1eddng \u1ed1ng th\u01b0\u1eddng \u0111\u01b0\u1ee3c thi\u1ebft k\u1ebf d\u1ef1a tr\u00ean c\u00e1c \u0111\u01b0\u1eddng cong ti\u1ebfp x\u00fac \u0111\u1ec3 \u0111\u1ea3m b\u1ea3o chuy\u1ec3n \u0111\u1ed9ng tr\u01a1n tru v\u00e0 kh\u00f4ng g\u00e2y ra xung \u0111\u1ed9t.<\/p>\n<h3>V\u1eadt l\u00fd<\/h3>\n<p>Kh\u00e1i ni\u1ec7m ti\u1ebfp tuy\u1ebfn l\u00e0 g\u00ec kh\u00f4ng ch\u1ec9 c\u00f3 \u00fd ngh\u0129a quan tr\u1ecdng trong to\u00e1n h\u1ecdc m\u00e0 c\u00f2n \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i trong c\u1ea3 l\u0129nh v\u1ef1c v\u1eadt l\u00fd \u0111\u1ec3 m\u00f4 t\u1ea3 v\u00e0 ph\u00e2n t\u00edch c\u00e1c hi\u1ec7n t\u01b0\u1ee3ng v\u1eadt l\u00fd. Ch\u1eb3ng h\u1ea1n nh\u01b0 m\u00f4 t\u1ea3 chuy\u1ec3n \u0111\u1ed9ng t\u1ee9c th\u1eddi, x\u00e1c \u0111\u1ecbnh c\u00e1c \u0111\u1ea1i l\u01b0\u1ee3ng v\u1eadt l\u00fd hay ph\u00e2n t\u00edch l\u1ef1c v\u00e0 tr\u01b0\u1eddng.<\/p>\n<h4>Quang h\u1ecdc<\/h4>\n<p>Ph\u1ea3n x\u1ea1 \u00e1nh s\u00e1ng: G\u00f3c t\u1edbi b\u1eb1ng g\u00f3c ph\u1ea3n x\u1ea1 l\u00e0 m\u1ed9t nguy\u00ean l\u00fd c\u01a1 b\u1ea3n trong quang h\u1ecdc, v\u00e0 m\u1ed1i quan h\u1ec7 n\u00e0y \u0111\u01b0\u1ee3c gi\u1ea3i th\u00edch d\u1ef1a tr\u00ean c\u00e1c ti\u1ebfp tuy\u1ebfn c\u1ee7a g\u01b0\u01a1ng c\u1ea7u.<\/p>\n<p>L\u0103ng k\u00ednh: C\u00e1c tia s\u00e1ng khi \u0111i qua l\u0103ng k\u00ednh s\u1ebd b\u1ecb kh\u00fac x\u1ea1, v\u00e0 \u0111\u01b0\u1eddng \u0111i c\u1ee7a tia s\u00e1ng \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh d\u1ef1a tr\u00ean c\u00e1c ti\u1ebfp tuy\u1ebfn c\u1ee7a m\u1eb7t ph\u00e2n c\u00e1ch gi\u1eefa c\u00e1c m\u00f4i tr\u01b0\u1eddng.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-386114 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-7.jpg\" alt=\"tiep-tuyen-la-gi-7\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-7.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-7-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-7-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h4>C\u01a1 h\u1ecdc<\/h4>\n<p>Chuy\u1ec3n \u0111\u1ed9ng tr\u00f2n \u0111\u1ec1u: V\u1eadn t\u1ed1c t\u1ee9c th\u1eddi c\u1ee7a m\u1ed9t v\u1eadt chuy\u1ec3n \u0111\u1ed9ng tr\u00f2n \u0111\u1ec1u lu\u00f4n ti\u1ebfp tuy\u1ebfn v\u1edbi qu\u1ef9 \u0111\u1ea1o chuy\u1ec3n \u0111\u1ed9ng.<\/p>\n<p>L\u1ef1c h\u01b0\u1edbng t\u00e2m: L\u1ef1c h\u01b0\u1edbng t\u00e2m t\u00e1c d\u1ee5ng l\u00ean v\u1eadt chuy\u1ec3n \u0111\u1ed9ng tr\u00f2n lu\u00f4n h\u01b0\u1edbng v\u00e0o t\u00e2m c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n v\u00e0 vu\u00f4ng g\u00f3c v\u1edbi ti\u1ebfp tuy\u1ebfn t\u1ea1i \u0111i\u1ec3m \u0111\u00f3.<\/p>\n<h3>Ki\u1ebfn tr\u00fac v\u00e0 ngh\u1ec7 thu\u1eadt<\/h3>\n<p>C\u00e1c \u0111\u01b0\u1eddng cong v\u00e0 ti\u1ebfp tuy\u1ebfn mang \u0111\u1ebfn cho c\u00f4ng tr\u00ecnh ki\u1ebfn tr\u00fac m\u1ed9t v\u1ebb \u0111\u1eb9p m\u1ec1m m\u1ea1i, uy\u1ec3n chuy\u1ec3n, t\u1ea1o c\u1ea3m gi\u00e1c chuy\u1ec3n \u0111\u1ed9ng v\u00e0 sinh \u0111\u1ed9ng.\u00a0Nhi\u1ec1u h\u00ecnh d\u1ea1ng trong t\u1ef1 nhi\u00ean nh\u01b0 \u0111\u01b0\u1eddng cong c\u1ee7a v\u1ecf s\u00f2, c\u00e1nh hoa, hay d\u00f2ng ch\u1ea3y c\u1ee7a n\u01b0\u1edbc \u0111\u1ec1u c\u00f3 s\u1ef1 hi\u1ec7n di\u1ec7n c\u1ee7a ti\u1ebfp tuy\u1ebfn. Do \u0111\u00f3, hi\u1ec3u ti\u1ebfp tuy\u1ebfn l\u00e0 g\u00ec s\u1ebd \u1ee9ng d\u1ee5ng thi\u1ebft th\u1ef1c v\u00e0o c\u00e1c thi\u1ebft k\u1ebf c\u00f4ng tr\u00ecnh hi\u1ec7u qu\u1ea3.<\/p>\n<h4>Thi\u1ebft k\u1ebf ki\u1ebfn tr\u00fac<\/h4>\n<p>M\u00e1i v\u00f2m: H\u00ecnh d\u1ea1ng c\u1ee7a m\u00e1i v\u00f2m th\u01b0\u1eddng \u0111\u01b0\u1ee3c t\u1ea1o ra b\u1eb1ng c\u00e1ch quay m\u1ed9t \u0111\u01b0\u1eddng cong quanh m\u1ed9t tr\u1ee5c, v\u00e0 \u0111\u01b0\u1eddng cong n\u00e0y c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh b\u1eb1ng c\u00e1c ti\u1ebfp tuy\u1ebfn.<\/p>\n<p>C\u1ea7u v\u00f2m: C\u1ea7u v\u00f2m c\u00f3 h\u00ecnh d\u1ea1ng cong \u0111\u1ec3 ph\u00e2n b\u1ed1 l\u1ef1c \u0111\u1ec1u v\u00e0 t\u0103ng c\u01b0\u1eddng \u0111\u1ed9 b\u1ec1n, v\u00e0 h\u00ecnh d\u1ea1ng n\u00e0y c\u0169ng li\u00ean quan \u0111\u1ebfn c\u00e1c ti\u1ebfp tuy\u1ebfn.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-386115 aligncenter\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-8.jpg\" alt=\"tiep-tuyen-la-gi-8\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-8.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-8-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2024\/09\/tiep-tuyen-la-gi-8-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<h4>Ngh\u1ec7 thu\u1eadt<\/h4>\n<p>H\u1ecda h\u1ecda: C\u00e1c h\u1ecda s\u0129 s\u1eed d\u1ee5ng c\u00e1c \u0111\u01b0\u1eddng cong v\u00e0 ti\u1ebfp tuy\u1ebfn \u0111\u1ec3 t\u1ea1o ra c\u00e1c h\u00ecnh \u1ea3nh sinh \u0111\u1ed9ng v\u00e0 ch\u00e2n th\u1ef1c.<\/p>\n<p>\u0110i\u00eau kh\u1eafc: C\u00e1c t\u00e1c ph\u1ea9m \u0111i\u00eau kh\u1eafc th\u01b0\u1eddng c\u00f3 c\u00e1c \u0111\u01b0\u1eddng cong m\u1ec1m m\u1ea1i v\u00e0 uy\u1ec3n chuy\u1ec3n, v\u00e0 c\u00e1c \u0111\u01b0\u1eddng cong n\u00e0y c\u0169ng li\u00ean quan \u0111\u1ebfn c\u00e1c ti\u1ebfp tuy\u1ebfn<\/p>\n<h3>L\u0129nh v\u1ef1c kh\u00e1c<\/h3>\n<p>\u0110\u1ecba l\u00fd: \u0110\u01b0\u1eddng b\u1edd bi\u1ec3n, \u0111\u01b0\u1eddng \u0111\u1eb3ng cao tr\u00ean b\u1ea3n \u0111\u1ed3 \u0111\u1ecba h\u00ecnh th\u01b0\u1eddng \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1eb1ng c\u00e1c \u0111\u01b0\u1eddng cong g\u1ea7n gi\u1ed1ng v\u1edbi c\u00e1c ti\u1ebfp tuy\u1ebfn c\u1ee7a b\u1ec1 m\u1eb7t Tr\u00e1i \u0110\u1ea5t.<\/p>\n<p>Sinh h\u1ecdc: H\u00ecnh d\u1ea1ng c\u1ee7a t\u1ebf b\u00e0o, c\u00e1c ph\u00e2n t\u1eed sinh h\u1ecdc th\u01b0\u1eddng c\u00f3 c\u00e1c \u0111\u01b0\u1eddng cong v\u00e0 ti\u1ebfp tuy\u1ebfn \u0111\u1eb7c tr\u01b0ng.<\/p>\n<p>Kinh t\u1ebf: C\u00e1c m\u00f4 h\u00ecnh kinh t\u1ebf th\u01b0\u1eddng s\u1eed d\u1ee5ng c\u00e1c \u0111\u01b0\u1eddng cong \u0111\u1ec3 bi\u1ec3u di\u1ec5n m\u1ed1i quan h\u1ec7 gi\u1eefa c\u00e1c bi\u1ebfn s\u1ed1, v\u00e0 c\u00e1c ti\u1ebfp tuy\u1ebfn c\u1ee7a c\u00e1c \u0111\u01b0\u1eddng cong n\u00e0y c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 ph\u00e2n t\u00edch s\u1ef1 thay \u0111\u1ed5i c\u1ee7a c\u00e1c bi\u1ebfn s\u1ed1.<\/p>\n<h2>L\u1eddi k\u1ebft<\/h2>\n<p>Tr\u00ean \u0111\u00e2y l\u00e0 to\u00e0n b\u1ed9 th\u00f4ng tin v\u1ec1 ti\u1ebfp tuy\u1ebfn l\u00e0 g\u00ec v\u00e0 t\u1ea5t t\u1ea7n t\u1eadt m\u1ecdi th\u1ee9 c\u1ea7n bi\u1ebft v\u1ec1 ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u01b0\u1eddng tr\u00f2n. Hy v\u1ecdng qua b\u00e0i vi\u1ebft n\u00e0y s\u1ebd gi\u00fap b\u1ea1n gi\u1ea3i quy\u1ebft nhi\u1ec1u b\u00e0i to\u00e1n th\u1ef1c t\u1ebf v\u00e0 n\u00e2ng cao kh\u1ea3 n\u0103ng t\u01b0 duy k\u1ef9 thu\u1eadt trong nhi\u1ec1u l\u0129nh v\u1ef1c cu\u1ed9c s\u1ed1ng.<\/p>\n<p>Xem th\u00eam:<\/p>\n<ul>\n<li><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/dien-tro-la-gi\/\">\u0110i\u1ec7n Tr\u1edf L\u00e0 G\u00ec? Kh\u00e1i Ni\u1ec7m, C\u00f4ng Th\u1ee9c T\u00ednh, C\u00e1ch \u0110\u1ecdc<\/a><\/strong><\/li>\n<li><strong><a href=\"https:\/\/hoanghamobile.com\/tin-tuc\/loi-503\/\">L\u1ed7i 503 Service Unavailable l\u00e0 g\u00ec? Nguy\u00ean nh\u00e2n, c\u00e1ch kh\u1eafc ph\u1ee5c<\/a><\/strong><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y = f(x) t\u1ea1i \u0111i\u1ec3m M(x0; f(x0)) l\u00e0 y = f'(x0)(x &#8211; x0) + f(x0), trong \u0111\u00f3 f'(x0) l\u00e0 h\u1ec7 s\u1ed1 g\u00f3c c\u1ee7a ti\u1ebfp tuy\u1ebfn. \u0110\u00e2y l\u00e0 ki\u1ebfn th\u1ee9c quan tr\u1ecdng l\u1edbp 11, gi\u00fap gi\u1ea3i b\u00e0i to\u00e1n kh\u1ea3o s\u00e1t h\u00e0m s\u1ed1, c\u1ef1c tr\u1ecb v\u00e0 \u1ee9ng d\u1ee5ng [&hellip;]<\/p>\n","protected":false},"author":51,"featured_media":386104,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29235,3910],"tags":[],"class_list":["post-386066","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-goc-to-mo","category-kham-pha"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.3 (Yoast SEO v27.4) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 | C\u00f4ng th\u1ee9c, v\u00ed d\u1ee5 l\u1edbp 11, b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i<\/title>\n<meta name=\"description\" content=\"Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y=f(x): y = f&#039;(x0)(x - x0) + f(x0). H\u01b0\u1edbng d\u1eabn chi ti\u1ebft c\u00f4ng th\u1ee9c, v\u00ed d\u1ee5 l\u1edbp 11, b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i. H\u1ecdc ngay \u0111\u1ec3 l\u00e0m b\u00e0i To\u00e1n d\u1ec5 d\u00e0ng!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tiep-tuyen-la-gi\/\" \/>\n<meta property=\"og:locale\" content=\"vi_VN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1\" \/>\n<meta property=\"og:description\" content=\"Ph\u01b0\u01a1ng tr\u00ecnh ti\u1ebfp tuy\u1ebfn c\u1ee7a \u0111\u1ed3 th\u1ecb h\u00e0m s\u1ed1 y=f(x): y = f&#039;(x0)(x - x0) + f(x0). H\u01b0\u1edbng d\u1eabn chi ti\u1ebft c\u00f4ng th\u1ee9c, v\u00ed d\u1ee5 l\u1edbp 11, b\u00e0i t\u1eadp c\u00f3 l\u1eddi gi\u1ea3i. 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