{"id":22519,"date":"2021-12-17T16:45:06","date_gmt":"2021-12-17T09:45:06","guid":{"rendered":"https:\/\/www.vietlearn.org\/post\/?p=22519"},"modified":"2021-12-17T16:45:08","modified_gmt":"2021-12-17T09:45:08","slug":"bai-toan-van-dung-cao-chuyen-de-ham-so-mu-logarit","status":"publish","type":"post","link":"https:\/\/www.vietlearn.org\/kien-thuc\/bai-toan-van-dung-cao-chuyen-de-ham-so-mu-logarit\/","title":{"rendered":"B\u00c0I TO\u00c1N V\u1eacN D\u1ee4NG CAO CHUY\u00caN \u0110\u1ec0 H\u00c0M S\u1ed0 M\u0168, L\u00d4GARIT"},"content":{"rendered":"\n<p><\/p>\n\n\n<p><a id=\"post-22519-_Toc492701526\"><\/a><a id=\"post-22519-_Toc493273876\"><\/a> \u1ede ch\u01b0\u01a1ng n\u00e0y nh\u1eefng b\u00e0i to\u00e1n v\u1eadn d\u1ee5ng cao s\u1ebd r\u01a1i v\u00e0o c\u00e1c d\u1ea1ng b\u00e0i L\u00e3i su\u1ea5t, d\u1ea1ng b\u00e0i t\u00ednh s\u1ed1 ch\u1eef s\u1ed1 c\u1ee7a m\u1ed9t s\u1ed1 \u2026<\/p>\n<p><strong>CH\u1ee6 \u0110\u1ec0 1.<\/strong><\/p>\n<p><strong>T\u00cdNH S\u1ed0 CH\u1eee S\u1ed0 C\u1ee6A M\u1ed8T S\u1ed0 T\u1ef0 NHI\u00caN<\/strong><\/p>\n<p>Sau \u0111\u00e2y ch\u00fang ta c\u00f9ng nghi\u00ean c\u1ee9u m\u1ed9t \u1ee9ng d\u1ee5ng c\u1ee7a Logarit tron vi\u1ec7c t\u00ednh s\u1ed1 c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean.<\/p>\n<p>\u0110\u1ea7u ti\u00ean xin nh\u1eafc l\u1ea1i kh\u00e1i ni\u1ec7m th\u1ebf n\u00e0o l\u00e0 ph\u1ea7n nguy\u00ean c\u1ee7a m\u1ed9t s\u1ed1.<\/p>\n<p><strong>1. Ph\u1ea7n nguy\u00ean c\u1ee7a m\u1ed9t s\u1ed1:<\/strong><\/p>\n<p>X\u00e9t s\u1ed1 th\u1ee9c A, s\u1ed1 nguy\u00ean l\u1edbn nh\u1ea5t m\u00e0 kh\u00f4ng v\u01b0\u1ee3t qu\u00e1 A ng\u01b0\u1eddi ta g\u1ecdi l\u00e0 ph\u1ea7n nguy\u00ean c\u1ee7a A v\u00e0 k\u00ed hi\u1ec7u l\u00e0 [A].<\/p>\n<p>Nh\u01b0 v\u1eady d\u1ec5 th\u1ea5y <img decoding=\"async\" width=\"140\" height=\"27\" class=\"wp-image-22520\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_256-31.png\" alt=\"IMG_256\" \/> .<\/p>\n<p><strong>2. C\u00f4ng th\u1ee9c t\u00ednh s\u1ed1 c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean:<\/strong><\/p>\n<p>X\u00e9t s\u1ed1 t\u1ef1 nhi\u00ean A hi\u1ec7n th\u1eddi \u0111ang bi\u1ec3u di\u1ec5n d\u01b0\u1edbi d\u1ea1ng m\u0169 hay m\u1ed9t d\u1ea1ng n\u00e0o \u0111\u00f3 m\u00e0 ta kh\u00f4ng \u0111\u1ebfm \u0111\u01b0\u1ee3c c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a n\u00f3. G\u1ec9 s\u1eed A c\u00f3 n ch\u1eef s\u1ed1 th\u00ec ta c\u00f3 c\u00f4ng th\u1ee9c sau \u0111\u00e2y: <img decoding=\"async\" width=\"110\" height=\"29\" class=\"wp-image-22521\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_257-30.png\" alt=\"IMG_257\" \/> .<\/p>\n<p>Tr\u01b0\u1edbc khi \u0111i v\u00e0o ch\u1ee9ng minh, t\u00f4i mu\u1ed1n nh\u1eafc l\u1ea1i cho c\u00e1c b\u1ea1n c\u00e1ch ph\u00e2n t\u00edch m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean ra d\u1ea1ng t\u1ed5ng l\u0169y th\u1eeba c\u1ee7a c\u01a1 s\u1ed1 10, v\u00ed d\u1ee5 <img decoding=\"async\" width=\"484\" height=\"32\" class=\"wp-image-22522\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_258-31.png\" alt=\"IMG_258\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_258-31.png 484w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_258-31-300x20.png 300w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_258-31-480x32.png 480w\" sizes=\"(max-width: 484px) 100vw, 484px\" \/> .<\/p>\n<p><strong>Ch\u1ee9ng minh:<\/strong><\/p>\n<p>Gi\u1ea3 s\u1eed s\u1ed1 t\u1ef1 nhi\u00ean A c\u00f3 n ch\u1eef s\u1ed1:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"519\" height=\"37\" class=\"wp-image-22523\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_259-29.png\" alt=\"IMG_259\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_259-29.png 519w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_259-29-300x21.png 300w\" sizes=\"(max-width: 519px) 100vw, 519px\" \/><\/p>\n<p>Suy ra <img loading=\"lazy\" decoding=\"async\" width=\"607\" height=\"41\" class=\"wp-image-22524\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_260-31.png\" alt=\"IMG_260\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_260-31.png 607w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_260-31-300x20.png 300w\" sizes=\"(max-width: 607px) 100vw, 607px\" \/> v\u00e0<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"672\" height=\"41\" class=\"wp-image-22525\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_261-28.png\" alt=\"IMG_261\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_261-28.png 672w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_261-28-300x18.png 300w\" sizes=\"(max-width: 672px) 100vw, 672px\" \/> .<\/p>\n<p>T\u1eeb hai \u0111i\u1ec1u n\u00e0y ta c\u00f3: <img loading=\"lazy\" decoding=\"async\" width=\"395\" height=\"34\" class=\"wp-image-22526\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_262-29.png\" alt=\"IMG_262\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_262-29.png 395w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_262-29-300x26.png 300w\" sizes=\"(max-width: 395px) 100vw, 395px\" \/><\/p>\n<p>Gi\u1eefa <img loading=\"lazy\" decoding=\"async\" width=\"174\" height=\"34\" class=\"wp-image-22527\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_263-30.png\" alt=\"IMG_263\" \/> ch\u1ec9 c\u00f3 duy nh\u1ea5t m\u1ed9t s\u1ed1 t\u1ef1 nhi\u00ean l\u1edbn h\u01a1n <img loading=\"lazy\" decoding=\"async\" width=\"67\" height=\"34\" class=\"wp-image-22528\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_264-29.png\" alt=\"IMG_264\" \/> \u0111\u00f3 l\u00e0 <img loading=\"lazy\" decoding=\"async\" width=\"114\" height=\"37\" class=\"wp-image-22529\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_265-29.png\" alt=\"IMG_265\" \/><\/p>\n<p>V\u1eady <img loading=\"lazy\" decoding=\"async\" width=\"147\" height=\"37\" class=\"wp-image-22530\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_266-29.png\" alt=\"IMG_266\" \/><\/p>\n<p>Sau \u0111\u00e2y ta c\u00f9ng s\u1eed d\u1ee5ng c\u00f4ng th\u1ee9c tr\u00ean \u0111\u1ec3 gi\u1ea3i m\u1ed9t s\u1ed1 b\u00e0i to\u00e1n sau:<\/p>\n<p>\u00a0<\/p>\n<p><strong>B\u00c0I TO\u00c1N \u00c1P D\u1ee4NG<\/strong><\/p>\n<p><strong>B\u00e0i 1<\/strong>: S\u1ed1 nguy\u00ean t\u1ed1 d\u1ea1ng <img loading=\"lazy\" decoding=\"async\" width=\"112\" height=\"35\" class=\"wp-image-22531\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_267-30.png\" alt=\"IMG_267\" \/> , trong \u0111\u00f3 p l\u00e0 m\u1ed9t s\u1ed1 nguy\u00ean t\u1ed1, \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 s\u1ed1 nguy\u00ean t\u1ed1 Mec-xen. S\u1ed1 <img loading=\"lazy\" decoding=\"async\" width=\"71\" height=\"30\" class=\"wp-image-22532\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_268-30.png\" alt=\"IMG_268\" \/> \u0111\u01b0\u1ee3c ph\u00e1t hi\u1ec7n n\u0103m 1999. H\u1ecfi r\u1eb1ng n\u1ebfu vi\u1ebft s\u1ed1 \u0111\u00f3 trong h\u1ec7 th\u1eadp ph\u00e2n th\u00ec c\u00f3 bao nhi\u00eau ch\u1eef s\u1ed1?<\/p>\n<p><strong>Tr\u00edch \u0111\u1ec1 thi th\u1eed Chuy\u00ean H\u01b0ng Y\u00ean l\u1ea7n 2.<\/strong><\/p>\n<p>A. <img loading=\"lazy\" decoding=\"async\" width=\"82\" height=\"24\" class=\"wp-image-22533\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_269-30.png\" alt=\"IMG_269\" \/> ch\u1eef s\u1ed1. B. 2098961 ch\u1eef s\u1ed1.<\/p>\n<p>C. 6972593 ch\u1eef s\u1ed1. D. 6972592 ch\u1eef s\u1ed1.<\/p>\n<p>Gi\u1ea3i:<\/p>\n<p>\u0110\u1ea7u ti\u00ean ta c\u1ea7n bi\u1ebft: S\u1ed1 t\u1ef1 nhi\u00ean A c\u00f3 n ch\u1eef s\u1ed1 th\u00ec <img loading=\"lazy\" decoding=\"async\" width=\"147\" height=\"37\" class=\"wp-image-22534\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_270-28.png\" alt=\"IMG_270\" \/><\/p>\n<p>Ta c\u1ea7n t\u00ednh <img loading=\"lazy\" decoding=\"async\" width=\"90\" height=\"27\" class=\"wp-image-22535\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_271-30.png\" alt=\"IMG_271\" \/> c\u00f3 bao nhi\u00eau ch\u1eef s\u1ed1, ta th\u1ea5y r\u1eb1ng <img loading=\"lazy\" decoding=\"async\" width=\"90\" height=\"27\" class=\"wp-image-22536\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_272-30.png\" alt=\"IMG_272\" \/> v\u00e0 <img loading=\"lazy\" decoding=\"async\" width=\"62\" height=\"27\" class=\"wp-image-22537\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_273-28.png\" alt=\"IMG_273\" \/> ch\u1eafc ch\u1eafn c\u00f3 c\u00f9ng s\u1ed1 ch\u1eef s\u1ed1, n\u00f3 gi\u1ed1ng nh\u01b0 l\u00e0 213 v\u00e0 213\u22121 c\u00f3 c\u00f9ng 3 ch\u1eef s\u1ed1 v\u1eady.<\/p>\n<p>T\u1eeb l\u1eadp lu\u1ead tr\u00ean ta \u0111i t\u00ednh s\u1ed1 ch\u1eef s\u1ed1 c\u1ee7a <img loading=\"lazy\" decoding=\"async\" width=\"62\" height=\"27\" class=\"wp-image-22538\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_274-29.png\" alt=\"IMG_274\" \/> b\u1eb1ng c\u00f4ng th\u1ee9c: <img loading=\"lazy\" decoding=\"async\" width=\"147\" height=\"37\" class=\"wp-image-22539\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_275-28.png\" alt=\"IMG_275\" \/> . \u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c ta \u0111\u01b0\u1ee3c:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"455\" height=\"41\" class=\"wp-image-22540\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_276-29.png\" alt=\"IMG_276\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_276-29.png 455w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_276-29-300x27.png 300w\" sizes=\"(max-width: 455px) 100vw, 455px\" \/> .<\/p>\n<p>Ch\u1ecdn B.<\/p>\n<p><strong>B\u00e0i 2:<\/strong> Ng\u01b0\u1eddi ta qui \u01b0\u1edbc <img loading=\"lazy\" decoding=\"async\" width=\"37\" height=\"29\" class=\"wp-image-22541\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_277-29.png\" alt=\"IMG_277\" \/> v\u00e0 <img loading=\"lazy\" decoding=\"async\" width=\"47\" height=\"29\" class=\"wp-image-22542\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_278-30.png\" alt=\"IMG_278\" \/> l\u00e0 gi\u00e1 tr\u1ecb c\u1ee7a <img loading=\"lazy\" decoding=\"async\" width=\"62\" height=\"30\" class=\"wp-image-22543\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_279-28.png\" alt=\"IMG_279\" \/> . Trong c\u00e1c l\u0129nh v\u1ef1c k\u1ef9 thu\u1eadt, <img loading=\"lazy\" decoding=\"async\" width=\"37\" height=\"29\" class=\"wp-image-22544\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_280-30.png\" alt=\"IMG_280\" \/> \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng kh\u00e1 nhi\u1ec1u, k\u1ec3 c\u1ea3 m\u00e1y t\u00ednh c\u1ea7m tay hay quang ph\u1ed5. H\u01a1n n\u1eefa, trong to\u00e1n h\u1ecdc ng\u01b0\u1eddi ta s\u1eed d\u1ee5ng <img loading=\"lazy\" decoding=\"async\" width=\"37\" height=\"29\" class=\"wp-image-22545\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_281-29.png\" alt=\"IMG_281\" \/> \u0111\u1ec3 t\u00ecm s\u1ed1 ch\u1eef s\u1ed1 c\u1ee7a m\u1ed9t s\u1ed1 nguy\u00ean d\u01b0\u01a1ng n\u00e0o \u0111\u00f3. V\u00ed d\u1ee5 s\u1ed1 A c\u00f3 n ch\u1eef s\u1ed1 th\u00ec khi \u0111\u00f3 <img loading=\"lazy\" decoding=\"async\" width=\"114\" height=\"35\" class=\"wp-image-22546\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_282-30.png\" alt=\"IMG_282\" \/> v\u1edbi <img loading=\"lazy\" decoding=\"async\" width=\"54\" height=\"35\" class=\"wp-image-22547\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_283-29.png\" alt=\"IMG_283\" \/> l\u00e0 s\u1ed1 nguy\u00ean l\u1edbn nh\u1ea5t nh\u1ecf h\u01a1n ho\u1eb7c b\u1eb1ng A. H\u1ecfi s\u1ed1 <img loading=\"lazy\" decoding=\"async\" width=\"112\" height=\"29\" class=\"wp-image-22548\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_284-29.png\" alt=\"IMG_284\" \/> c\u00f3 bao nhi\u00eau ch\u1eef s\u1ed1?<\/p>\n<p>A. 9999 ch\u1eef s\u1ed1. B. 6666 ch\u1eef s\u1ed1. C. 9966 ch\u1eef s\u1ed1. D. 6699 ch\u1eef s\u1ed1.<\/p>\n<p>Gi\u1ea3i:<\/p>\n<p>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c <img loading=\"lazy\" decoding=\"async\" width=\"114\" height=\"35\" class=\"wp-image-22549\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_285-30.png\" alt=\"IMG_285\" \/> \u0111\u1ec3 t\u00ecm c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a s\u1ed1 A.<\/p>\n<p>Ta c\u00f3: <img loading=\"lazy\" decoding=\"async\" width=\"382\" height=\"32\" class=\"wp-image-22550\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_286-29.png\" alt=\"IMG_286\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_286-29.png 382w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_286-29-300x25.png 300w\" sizes=\"(max-width: 382px) 100vw, 382px\" \/><\/p>\n<p>V\u1eady B c\u00f3 6666 ch\u1eef s\u1ed1.<\/p>\n<p>Ch\u1ecdn B.<\/p>\n<p>\u00a0<\/p>\n<p><strong>B\u00e0i 3<\/strong>: S\u1ed1 nguy\u00ean t\u1ed1 d\u1ea1ng <img loading=\"lazy\" decoding=\"async\" width=\"107\" height=\"35\" class=\"wp-image-22551\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_287-30.png\" alt=\"IMG_287\" \/> , trong \u0111\u00f3 p l\u00e0 s\u1ed1 nguy\u00ean t\u1ed1 \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 s\u1ed1 nguy\u00ean t\u1ed1 Mec-sen (Mersenne Marin, 1588-1648, ng\u01b0\u1eddi Ph\u00e1p)<\/p>\n<p>+ \u01a0-le ph\u00e1t hi\u1ec7n <img loading=\"lazy\" decoding=\"async\" width=\"39\" height=\"30\" class=\"wp-image-22552\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_288-30.png\" alt=\"IMG_288\" \/> n\u0103m 1750.<\/p>\n<p>+ Luy-ca (Lucas Edouard, 1842-1891, ng\u01b0\u1eddi Ph\u00e1p) ph\u00e1t hi\u1ec7n <img loading=\"lazy\" decoding=\"async\" width=\"45\" height=\"30\" class=\"wp-image-22553\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_289-31.png\" alt=\"IMG_289\" \/> n\u0103m 1876<\/p>\n<p>+ <img loading=\"lazy\" decoding=\"async\" width=\"71\" height=\"30\" class=\"wp-image-22554\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_290-30.png\" alt=\"IMG_290\" \/> \u0111\u01b0\u1ee3c ph\u00e1t hi\u1ec7n n\u0103m 1996.<\/p>\n<p>H\u1ecfi r\u1eb1ng n\u1ebfu vi\u1ebft ba s\u1ed1 \u0111\u00f3 trong h\u1ec7 th\u1eadp ph\u00e2n th\u00ec m\u1ed7 s\u1ed1 c\u00f3 bao nhi\u00eau ch\u1eef s\u1ed1?<\/p>\n<p>A. <img loading=\"lazy\" decoding=\"async\" width=\"146\" height=\"27\" class=\"wp-image-22555\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_291-30.png\" alt=\"IMG_291\" \/> B. <img loading=\"lazy\" decoding=\"async\" width=\"134\" height=\"27\" class=\"wp-image-22556\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_292-30.png\" alt=\"IMG_292\" \/><\/p>\n<p>C. <img loading=\"lazy\" decoding=\"async\" width=\"144\" height=\"27\" class=\"wp-image-22557\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_293-30.png\" alt=\"IMG_293\" \/> D. <img loading=\"lazy\" decoding=\"async\" width=\"122\" height=\"27\" class=\"wp-image-22558\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_294-29.png\" alt=\"IMG_294\" \/><\/p>\n<p>Gi\u1ea3i:<\/p>\n<p>Gi\u1ea3 s\u1eed s\u1ed1 nguy\u00ean t\u1ed1 <img loading=\"lazy\" decoding=\"async\" width=\"112\" height=\"35\" class=\"wp-image-22559\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_295-28.png\" alt=\"IMG_295\" \/> vi\u1ebft trong h\u1ec7 th\u1eadp ph\u00e2n c\u00f3 n ch\u1eef s\u1ed1 th\u00ec <img loading=\"lazy\" decoding=\"async\" width=\"149\" height=\"35\" class=\"wp-image-22560\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_296-28.png\" alt=\"IMG_296\" \/> hay <img loading=\"lazy\" decoding=\"async\" width=\"139\" height=\"29\" class=\"wp-image-22561\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_297-28.png\" alt=\"IMG_297\" \/> v\u00ec <img loading=\"lazy\" decoding=\"async\" width=\"27\" height=\"27\" class=\"wp-image-22562\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_298-28.png\" alt=\"IMG_298\" \/> kh\u00f4ng ch\u1ee9a th\u1eeba s\u1ed1 nguy\u00ean t\u1ed1 5 n\u00ean <img loading=\"lazy\" decoding=\"async\" width=\"77\" height=\"29\" class=\"wp-image-22563\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_299-29.png\" alt=\"IMG_299\" \/> ).<\/p>\n<p>Suy ra: <img loading=\"lazy\" decoding=\"async\" width=\"197\" height=\"32\" class=\"wp-image-22564\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_300-29.png\" alt=\"IMG_300\" \/> hay <img loading=\"lazy\" decoding=\"async\" width=\"149\" height=\"29\" class=\"wp-image-22565\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_301-29.png\" alt=\"IMG_301\" \/><\/p>\n<p>Thay <img loading=\"lazy\" decoding=\"async\" width=\"62\" height=\"27\" class=\"wp-image-22566\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_302-29.png\" alt=\"IMG_302\" \/> , ta \u0111\u01b0\u1ee3c <img loading=\"lazy\" decoding=\"async\" width=\"140\" height=\"29\" class=\"wp-image-22567\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_303-29.png\" alt=\"IMG_303\" \/><\/p>\n<p>Suy ra <img loading=\"lazy\" decoding=\"async\" width=\"59\" height=\"24\" class=\"wp-image-22568\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_304-29.png\" alt=\"IMG_304\" \/> .<\/p>\n<p>V\u1eady s\u1ed1 nguy\u00ean t\u1ed1 <img loading=\"lazy\" decoding=\"async\" width=\"39\" height=\"30\" class=\"wp-image-22569\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_305-29.png\" alt=\"IMG_305\" \/> vi\u1ebft trong h\u1ec7 th\u1eadp ph\u00e2n c\u00f3 10 ch\u1eef s\u1ed1.<\/p>\n<p>L\u00e0m t\u01b0\u01a1ng t\u1ef1 ta th\u1ea5y <img loading=\"lazy\" decoding=\"async\" width=\"45\" height=\"30\" class=\"wp-image-22570\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_306-29.png\" alt=\"IMG_306\" \/> c\u00f3 39 ch\u1eef s\u1ed1. s\u1ed1 <img loading=\"lazy\" decoding=\"async\" width=\"71\" height=\"30\" class=\"wp-image-22571\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_307-29.png\" alt=\"IMG_307\" \/> c\u00f3 420921 ch\u1eef s\u1ed1.<\/p>\n<p>Ch\u1ecdn A.<\/p>\n<p>\u00a0<\/p>\n<p><strong>B\u00e0i 4<\/strong>: S\u1ed1 <img loading=\"lazy\" decoding=\"async\" width=\"120\" height=\"32\" class=\"wp-image-22572\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_308-29.png\" alt=\"IMG_308\" \/> l\u00e0 m\u1ed9t s\u1ed1 nguy\u00ean t\u1ed1. H\u1ecfi n\u1ebfu vi\u1ebft trong h\u1ec7 th\u1eadp ph\u00e2n th\u00ec s\u1ed1 \u0111\u00f3 c\u00f3 bao nhi\u00eau ch\u1eef s\u1ed1?<\/p>\n<p>A. 227831 ch\u1eef s\u1ed1. B. 227832 ch\u1eef s\u1ed1. C. 227834 ch\u1eef s\u1ed1. D. 227835 ch\u1eef s\u1ed1.<\/p>\n<p>Gi\u1ea3i:<\/p>\n<p>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c <img loading=\"lazy\" decoding=\"async\" width=\"114\" height=\"35\" class=\"wp-image-22573\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_309-28.png\" alt=\"IMG_309\" \/> \u0111\u1ec3 t\u00ecm c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a s\u1ed1 A.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"375\" height=\"72\" class=\"wp-image-22574\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_310-29.png\" alt=\"IMG_310\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_310-29.png 375w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_310-29-300x58.png 300w\" sizes=\"(max-width: 375px) 100vw, 375px\" \/><\/p>\n<p>V\u1eady s\u1ed1 p n\u00e0y c\u00f3 227832 ch\u1eef s\u1ed1. ch\u1ecdn B.<\/p>\n<p><strong>B\u00e0i 5<\/strong>: \u0110\u1ea7u n\u0103m 2016, Curtis Cooper v\u00e0 c\u00e1c c\u00f4ng s\u1ef1 t\u1ea1i nh\u00f3m nghi\u00ean c\u1ee9 \u0110\u1ea1i h\u1ecdc Central Mis-souri, M\u1ef9 v\u1eeba c\u00f4ng b\u1ed1 s\u1ed1 nguy\u00ean t\u1ed1 l\u1edbn nh\u1ea5t t\u1ea1i th\u1eddi \u0111i\u1ec3m \u0111\u00f3. S\u1ed1 nguy\u00ean t\u1ed1 n\u00e0y l\u00e0 m\u1ed9t d\u1ea1ng s\u1ed1 Mersenne, c\u00f3 gi\u00e1 tr\u1ecb b\u1eb1ng <img loading=\"lazy\" decoding=\"async\" width=\"139\" height=\"27\" class=\"wp-image-22575\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_311-28.png\" alt=\"IMG_311\" \/> . H\u1ecfi <img loading=\"lazy\" decoding=\"async\" width=\"29\" height=\"22\" class=\"wp-image-22576\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_312-28.png\" alt=\"IMG_312\" \/> c\u00f3 bao nhi\u00eau ch\u1eef s\u1ed1?<\/p>\n<p>A. 2233862 ch\u1eef s\u1ed1. B. 22338618 ch\u1eef s\u1ed1.<\/p>\n<p>C. 22338617 ch\u1eef s\u1ed1. D. 2233863 ch\u1eef s\u1ed1.<\/p>\n<p>Gi\u1ea3i:<\/p>\n<p>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c <img loading=\"lazy\" decoding=\"async\" width=\"114\" height=\"35\" class=\"wp-image-22577\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_313-27.png\" alt=\"IMG_313\" \/> \u0111\u1ec3 t\u00ecm c\u00e1c ch\u1eef s\u1ed1 c\u1ee7a s\u1ed1 A.<\/p>\n<p>Ta c\u00f3: <img loading=\"lazy\" decoding=\"async\" width=\"439\" height=\"32\" class=\"wp-image-22578\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_314-27.png\" alt=\"IMG_314\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_314-27.png 439w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_314-27-300x22.png 300w\" sizes=\"(max-width: 439px) 100vw, 439px\" \/><\/p>\n<p>Do \u0111\u00f3 M c\u00f3 22338617 ch\u1eef s\u1ed1.<\/p>\n<p>Ch\u1ecdn B.<\/p>\n<p><strong>B\u00e0i 6<\/strong>: Nh\u00e0 to\u00e1n h\u1ecdc ng\u01b0\u1eddi Ph\u00e1p Pierre de Fermat l\u00e0 ng\u01b0\u1eddi \u0111\u1ea7u ti\u00ean \u0111\u01b0a ra khai ni\u1ec7m s\u1ed1 Fermat <img loading=\"lazy\" decoding=\"async\" width=\"102\" height=\"37\" class=\"wp-image-22579\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_315-27.png\" alt=\"IMG_315\" \/> v\u1edbi n l\u00e0 s\u1ed1 nguy\u00ean d\u01b0\u01a1ng kh\u00f4ng \u00e2m. Fermat d\u1ef1 \u0111o\u00e1n <img loading=\"lazy\" decoding=\"async\" width=\"26\" height=\"30\" class=\"wp-image-22580\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_316-27.png\" alt=\"IMG_316\" \/> l\u00e0 s\u1ed1 nguy\u00ean t\u1ed1, nh\u01b0ng Euler \u0111\u00e3 ch\u1ee9ng minh \u0111\u01b0\u1ee3c <img loading=\"lazy\" decoding=\"async\" width=\"26\" height=\"30\" class=\"wp-image-22581\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_317-27.png\" alt=\"IMG_317\" \/> l\u00e0 h\u1ee3p s\u1ed1. H\u00e3y t\u00ecm s\u1ed1 ch\u1eef s\u1ed1 c\u1ee7a <img loading=\"lazy\" decoding=\"async\" width=\"30\" height=\"30\" class=\"wp-image-22582\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_318-27.png\" alt=\"IMG_318\" \/> .<\/p>\n<p>A. 1243 ch\u1eef s\u1ed1. B. 1234 ch\u1eef s\u1ed1. C. 2452 ch\u1eef s\u1ed1. D. 2467 ch\u1eef s\u1ed1.<\/p>\n<p>Gi\u1ea3i:<\/p>\n<p>Ta c\u00f3: <img loading=\"lazy\" decoding=\"async\" width=\"110\" height=\"37\" class=\"wp-image-22583\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_319-27.png\" alt=\"IMG_319\" \/> .<\/p>\n<p>Suy ra <img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"37\" class=\"wp-image-22584\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_320-27.png\" alt=\"IMG_320\" \/> . Suy ra <img loading=\"lazy\" decoding=\"async\" width=\"30\" height=\"30\" class=\"wp-image-22585\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_321-26.png\" alt=\"IMG_321\" \/> c\u00f3 2467 ch\u1eef s\u1ed1. Ch\u1ecdn D.<\/p>\n<p><strong>CH\u1ee6 \u0110\u1ec0 2<\/strong><\/p>\n<p><strong>C\u00c1C D\u1ea0NG B\u00c0I TO\u00c1N L\u00c3I SU\u1ea4T<\/strong><\/p>\n<p><strong>1. L\u00e3i \u0111\u01a1n<\/strong><\/p>\n<p>S\u1ed1 ti\u1ec1n l\u00e3i ch\u1ec9 t\u00ednh tr\u00ean s\u1ed1 ti\u1ec1n g\u1ed1c m\u00e0 kh\u00f4ng t\u00ednh tr\u00ean s\u1ed1 ti\u1ec1n l\u00e3i do s\u1ed1 ti\u1ec1n g\u1ed1c sinh ra.<\/p>\n<p>C\u00f4ng th\u1ee9c t\u00ednh l\u00e3i \u0111\u01a1n: <img loading=\"lazy\" decoding=\"async\" width=\"137\" height=\"34\" class=\"wp-image-22586\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_322-26.png\" alt=\"IMG_322\" \/><\/p>\n<p>Trong \u0111\u00f3:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"24\" height=\"30\" class=\"wp-image-22587\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_323-24.png\" alt=\"IMG_323\" \/> : S\u1ed1 ti\u1ec1n c\u1ea3 v\u1ed1n l\u1eabn l\u00e3i sau n k\u1ef3 h\u1ea1n;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"24\" height=\"30\" class=\"wp-image-22588\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_324-24.png\" alt=\"IMG_324\" \/> : S\u1ed1 ti\u1ec1n g\u1eedi ban \u0111\u1ea7u;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"17\" height=\"19\" class=\"wp-image-22589\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_325-24.png\" alt=\"IMG_325\" \/> : S\u1ed1 k\u1ef3 h\u1ea1n t\u00ednh l\u00e3i;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"17\" height=\"17\" class=\"wp-image-22590\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_326-24.png\" alt=\"IMG_326\" \/> : L\u00e3i su\u1ea5t \u0111\u1ecbnh k\u1ef3, t\u00ednh theo %.<\/p>\n<p><strong>2. L\u00e3i k\u00e9p<\/strong><\/p>\n<p>L\u00e0 s\u1ed1 ti\u1ec1n l\u00e3i kh\u00f4ng ch\u1ec9 t\u00ednh tr\u00ean s\u1ed1 ti\u1ec1n g\u1ed1c m\u00e0 c\u00f2n t\u00ednh tr\u00ean s\u1ed1 ti\u1ec1n l\u00e3i do ti\u1ec1n g\u1ed1c \u0111\u00f3 sinh ra thay \u0111\u1ed5i theo t\u1eebng \u0111\u1ecbnh k\u1ef3.<\/p>\n<p><strong>a. L\u00e3i k\u00e9p, g\u1eedi m\u1ed9t l\u1ea7n<\/strong>: <img loading=\"lazy\" decoding=\"async\" width=\"127\" height=\"39\" class=\"wp-image-22591\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_327-24.png\" alt=\"IMG_327\" \/><\/p>\n<p>Trong \u0111\u00f3:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"24\" height=\"30\" class=\"wp-image-22592\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_328-23.png\" alt=\"IMG_328\" \/> : S\u1ed1 ti\u1ec1n c\u1ea3 v\u1ed1n l\u1eabn l\u00e3i sau n k\u1ef3 h\u1ea1n;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"22\" height=\"30\" class=\"wp-image-22593\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_329-23.png\" alt=\"IMG_329\" \/> : S\u1ed1 ti\u1ec1n g\u1eedi ban \u0111\u1ea7u;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"17\" height=\"19\" class=\"wp-image-22594\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_330-23.png\" alt=\"IMG_330\" \/> : S\u1ed1 k\u1ef3 h\u1ea1n t\u00ednh l\u00e3i;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"17\" height=\"17\" class=\"wp-image-22595\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_331-23.png\" alt=\"IMG_331\" \/> : L\u00e3i su\u1ea5t \u0111\u1ecbnh k\u1ef3, t\u00ednh theo %.<\/p>\n<p><strong>b. L\u00e3i k\u00e9p li\u00ean t\u1ee5c<\/strong>: <img loading=\"lazy\" decoding=\"async\" width=\"90\" height=\"34\" class=\"wp-image-22596\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_332-23.png\" alt=\"IMG_332\" \/><\/p>\n<p>Trong \u0111\u00f3:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"24\" height=\"30\" class=\"wp-image-22597\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_333-23.png\" alt=\"IMG_333\" \/> : S\u1ed1 ti\u1ec1n c\u1ea3 v\u1ed1n l\u1eabn l\u00e3i sau n k\u1ef3 h\u1ea1n;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"22\" height=\"30\" class=\"wp-image-22598\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_334-22.png\" alt=\"IMG_334\" \/> : S\u1ed1 ti\u1ec1n g\u1eedi ban \u0111\u1ea7u;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"17\" height=\"19\" class=\"wp-image-22599\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_335-22.png\" alt=\"IMG_335\" \/> : S\u1ed1 k\u1ef3 h\u1ea1n t\u00ednh l\u00e3i;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"17\" height=\"17\" class=\"wp-image-22600\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_336-22.png\" alt=\"IMG_336\" \/> : L\u00e3i su\u1ea5t \u0111\u1ecbnh k\u1ef3, t\u00ednh theo %.<\/p>\n<p><strong>c. L\u00e3i k\u00e9p, g\u1eedi \u0111\u1ecbnh k\u1ef3.<\/strong><\/p>\n<p>\u009c<strong><em>Tr\u01b0\u1eddng h\u1ee3p g\u1eedi ti\u1ec1n \u0111\u1ecbnh k\u00ec cu\u1ed1i th\u00e1ng.<\/em><\/strong><\/p>\n<p><strong>B\u00e0i to\u00e1n 1<\/strong>: C\u1ee9 cu\u1ed1i m\u1ed7i th\u00e1ng g\u1eedi v\u00e0o ng\u00e2n h\u00e0ng <em>m<\/em> tri\u1ec7u, l\u00e3i su\u1ea5t k\u00e9p <img loading=\"lazy\" decoding=\"async\" width=\"35\" height=\"24\" class=\"wp-image-22601\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_337-22.png\" alt=\"IMG_337\" \/> (th\u00e1ng ho\u1eb7c n\u0103m). H\u1ecfi sau <em>n<\/em> (th\u00e1ng ho\u1eb7c n\u0103m) s\u1ed1 ti\u1ec1n thu \u0111\u01b0\u1ee3c l\u00e0 bao nhi\u00eau?<\/p>\n<p>Ng\u01b0\u1eddi ta ch\u1ee9ng minh \u0111\u01b0\u1ee3c s\u1ed1 ti\u1ec1n thu \u0111\u01b0\u1ee3c l\u00e0:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"177\" height=\"57\" class=\"wp-image-22602\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_338-22.png\" alt=\"IMG_338\" \/><\/p>\n<p><strong>Ch\u1ee9ng minh<\/strong><\/p>\n<table>\n<tbody>\n<tr>\n<td>\n<p><strong>Th\u00e1ng<\/strong><\/p>\n<\/td>\n<td>\n<p><strong>\u0110\u1ea7u th\u00e1ng<\/strong><\/p>\n<\/td>\n<td>\n<p><strong>Cu\u1ed1i th\u00e1ng<\/strong><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>1<\/p>\n<\/td>\n<td>\n<p>Ch\u01b0a g\u1eedi<\/p>\n<\/td>\n<td>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"22\" height=\"19\" class=\"wp-image-22603\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_339-22.png\" alt=\"IMG_339\" \/> \u00a0<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>2<\/p>\n<\/td>\n<td>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"22\" height=\"19\" class=\"wp-image-22604\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_340-22.png\" alt=\"IMG_340\" \/> \u00a0<\/p>\n<\/td>\n<td>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"114\" height=\"34\" class=\"wp-image-22605\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_341-22.png\" alt=\"IMG_341\" \/> \u00a0<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>3<\/p>\n<\/td>\n<td>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"114\" height=\"34\" class=\"wp-image-22606\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_342-22.png\" alt=\"IMG_342\" \/><\/p>\n<\/td>\n<td>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"214\" height=\"39\" class=\"wp-image-22607\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_343-22.png\" alt=\"IMG_343\" \/><\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p>\u2026<\/p>\n<\/td>\n<td>\n<p>\u2026<\/p>\n<\/td>\n<td>\n<p>\u2026<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"17\" height=\"19\" class=\"wp-image-22608\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_344-22.png\" alt=\"IMG_344\" \/> \u00a0<\/p>\n<\/td>\n<td>\u00a0<\/td>\n<td>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"260\" height=\"39\" class=\"wp-image-22609\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_345-22.png\" alt=\"IMG_345\" \/> \u00a0<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>V\u1eady sau th\u00e1ng n ta \u0111\u01b0\u1ee3c s\u1ed1 ti\u1ec1n <img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"39\" class=\"wp-image-22610\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_346-21.png\" alt=\"IMG_346\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" width=\"269\" height=\"47\" class=\"wp-image-22611\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_347-20.png\" alt=\"IMG_347\" \/> ,<\/p>\n<p>Ta th\u1ea5y trong ngo\u1eb7c l\u00e0 t\u1ed5ng <img loading=\"lazy\" decoding=\"async\" width=\"17\" height=\"19\" class=\"wp-image-22612\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_348-19.png\" alt=\"IMG_348\" \/> s\u1ed1 h\u1ea1ng c\u1ee7a c\u1ea5p s\u1ed1 nh\u00e2n c\u00f3 <img loading=\"lazy\" decoding=\"async\" width=\"277\" height=\"39\" class=\"wp-image-22613\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_349-19.png\" alt=\"IMG_349\" \/><\/p>\n<p>Ta bi\u1ebft r\u1eb1ng: <img loading=\"lazy\" decoding=\"async\" width=\"234\" height=\"62\" class=\"wp-image-22614\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_350-19.png\" alt=\"IMG_350\" \/> n\u00ean <img loading=\"lazy\" decoding=\"async\" width=\"177\" height=\"57\" class=\"wp-image-22615\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_351-19.png\" alt=\"IMG_351\" \/><\/p>\n<p><strong>B\u00e0i to\u00e1n 2<\/strong>: C\u1ee9 cu\u1ed1i m\u1ed7i th\u00e1ng g\u1eedi v\u00e0o ng\u00e2n h\u00e0ng <em>m<\/em> tri\u1ec7u, l\u00e3i su\u1ea5t k\u00e9p <img loading=\"lazy\" decoding=\"async\" width=\"35\" height=\"24\" class=\"wp-image-22616\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_352-19.png\" alt=\"IMG_352\" \/> (th\u00e1ng ho\u1eb7c n\u0103m). Sau <em>n<\/em> (th\u00e1ng ho\u1eb7c n\u0103m) s\u1ed1 ti\u1ec1n thu \u0111\u01b0\u1ee3c l\u00e0 A tri\u1ec7u. H\u1ecfi s\u1ed1 ti\u1ec1n g\u1eedi m\u1ed7i th\u00e1ng <em>m<\/em> l\u00e0 bao nhi\u00eau?<\/p>\n<p>Ng\u01b0\u1eddi ta ch\u1ee9ng minh \u0111\u01b0\u1ee3c s\u1ed1 ti\u1ec1n c\u1ea7n g\u1eedi m\u1ed7i th\u00e1ng l\u00e0: <img loading=\"lazy\" decoding=\"async\" width=\"137\" height=\"67\" class=\"wp-image-22617\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_353-19.png\" alt=\"IMG_353\" \/><\/p>\n<p><strong>Ch\u1ee9ng minh:<\/strong><\/p>\n<p>\u00c1p d\u1ee5ng b\u00e0i to\u00e1n 1 ta c\u00f3 s\u1ed1 ti\u1ec1n thu \u0111\u01b0\u1ee3c l\u00e0 <img loading=\"lazy\" decoding=\"async\" width=\"177\" height=\"57\" class=\"wp-image-22618\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_354-19.png\" alt=\"IMG_354\" \/> , m\u00e0 \u0111\u1ec1 cho s\u1ed1 ti\u1ec1n \u0111\u00f3 ch\u00ednh l\u00e0 A n\u00ean <img loading=\"lazy\" decoding=\"async\" width=\"335\" height=\"67\" class=\"wp-image-22619\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_355-19.png\" alt=\"IMG_355\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_355-19.png 335w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_355-19-300x60.png 300w\" sizes=\"(max-width: 335px) 100vw, 335px\" \/> .<\/p>\n<p><strong>B\u00e0i to\u00e1n 3<\/strong>: C\u1ee9 cu\u1ed1i m\u1ed7i th\u00e1ng g\u1eedi v\u00e0o ng\u00e2n h\u00e0ng <em>m<\/em> tri\u1ec7u, l\u00e3i su\u1ea5t k\u00e9p <img loading=\"lazy\" decoding=\"async\" width=\"35\" height=\"24\" class=\"wp-image-22620\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_356-19.png\" alt=\"IMG_356\" \/> (th\u00e1ng ho\u1eb7c n\u0103m). Sau <em>n<\/em> (th\u00e1ng ho\u1eb7c n\u0103m) s\u1ed1 ti\u1ec1n thu \u0111\u01b0\u1ee3c l\u00e0 A tri\u1ec7u. H\u1ecfi s\u1ed1 th\u00e1ng ho\u1eb7c n\u0103m <em>n<\/em> l\u00e0 bao nhi\u00eau?<\/p>\n<p>Ng\u01b0\u1eddi ta ch\u1ee9ng minh \u0111\u01b0\u1ee3c s\u1ed1 th\u00e1ng thu \u0111\u01b0\u1ee3c \u0111\u1ec1 b\u00e0i cho l\u00e0: <img loading=\"lazy\" decoding=\"async\" width=\"167\" height=\"62\" class=\"wp-image-22621\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_357-19.png\" alt=\"IMG_357\" \/> .<\/p>\n<p><strong>Ch\u1ee9ng minh:<\/strong><\/p>\n<p>\u00c1p d\u1ee5ng b\u00e0i to\u00e1n 1 ta c\u00f3 s\u1ed1 ti\u1ec1n thu \u0111\u01b0\u1ee3c l\u00e0 <img loading=\"lazy\" decoding=\"async\" width=\"177\" height=\"57\" class=\"wp-image-22622\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_358-19.png\" alt=\"IMG_358\" \/> , m\u00e0 \u0111\u1ec1 cho s\u1ed1 ti\u1ec1n \u0111\u00f3 ch\u00ednh l\u00e0 A n\u00ean <img loading=\"lazy\" decoding=\"async\" width=\"701\" height=\"69\" class=\"wp-image-22623\" src=\"https:\/\/www.vietlearn.org\/post\/wp-content\/uploads\/2021\/12\/img_359-19.png\" alt=\"IMG_359\" srcset=\"https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_359-19.png 701w, https:\/\/www.vietlearn.org\/kien-thuc\/wp-content\/uploads\/2021\/12\/img_359-19-300x30.png 300w\" sizes=\"(max-width: 701px) 100vw, 701px\" \/><\/p>\n<p>Nh\u01b0 v\u1eady trong tr\u01b0\u1eddng h\u1ee3p m\u1ed9t n\u00e0y ta c\u1ea7n n\u1eafm v\u1ee9ng c\u00f4ng th\u1ee9c B\u00e0i to\u00e1n 1 t\u1eeb \u0111\u00f3 c\u00f3 th\u1ec3 d\u1ec5 d\u00e0ng bi\u1ebfn \u0111\u1ed5i ra c\u00e1c c\u00f4ng th\u1ee9c \u1edf b\u00e0i to\u00e1n 2, B\u00e0i to\u00e1n 3.<\/p>","protected":false},"excerpt":{"rendered":"<p>\u1ede ch\u01b0\u01a1ng n\u00e0y nh\u1eefng b\u00e0i to\u00e1n v\u1eadn d\u1ee5ng cao s\u1ebd r\u01a1i v\u00e0o c\u00e1c d\u1ea1ng b\u00e0i L\u00e3i su\u1ea5t, d\u1ea1ng b\u00e0i t\u00ednh s\u1ed1 ch\u1eef s\u1ed1 c\u1ee7a m\u1ed9t s\u1ed1 \u2026 CH\u1ee6 \u0110\u1ec0 1. T\u00cdNH S\u1ed0 CH\u1eee S\u1ed0 C\u1ee6A M\u1ed8T S\u1ed0 T\u1ef0 NHI\u00caN Sau \u0111\u00e2y ch\u00fang ta c\u00f9ng nghi\u00ean c\u1ee9u m\u1ed9t \u1ee9ng d\u1ee5ng c\u1ee7a Logarit tron vi\u1ec7c t\u00ednh s\u1ed1 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_disable_autopaging":false},"categories":[43],"tags":[],"class_list":["post-22519","post","type-post","status-publish","format-standard","hentry","category-toan-lop-12"],"_links":{"self":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22519","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/comments?post=22519"}],"version-history":[{"count":1,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22519\/revisions"}],"predecessor-version":[{"id":22624,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/posts\/22519\/revisions\/22624"}],"wp:attachment":[{"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/media?parent=22519"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/categories?post=22519"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.vietlearn.org\/kien-thuc\/wp-json\/wp\/v2\/tags?post=22519"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}