Bài tập cuối chương 9-Đường tròn ngoại tiếp và đường tròn nội tiếp

Home Lớp 9 Toán lớp 9 - Sách Kết nối tri thức Bài tập cuối chương 9 - Đường tròn ngoại tiếp và đường tròn nội tiếpBài tập nâng cao

{"common":{"save":0,"post_id":"7989","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"11649","post_id":"7989","mon_id":"1159278","chapter_id":"1159333","question":"T\u1ed5ng s\u1ed1 \u0111o các góc trong c\u1ee7a hình \u0111a giác n c\u1ea1nh là 1620° thì s\u1ed1 c\u1ea1nh n là:<\/p>","options":["A.<\/strong> n = 9.","B.<\/strong> n = 10.","C.<\/strong> n = 11.","D.<\/strong> n = 8."],"correct":"3","level":"3","hint":"","answer":"Ch\u1ecdn C.<\/strong> n = 11.<\/span><\/p>Ta có: (n – 2) . 180° = 1620°<\/p>T\u1eeb \u0111ó n – 2 = 9<\/p>hay n = 11.<\/p>V\u1eady s\u1ed1 c\u1ea1nh là n = 11.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2025-05-28 11:51:39","option_type":"txt","len":0},{"id":"11653","post_id":"7989","mon_id":"1159278","chapter_id":"1159333","question":"Cho AB, BC, CA là ba dây c\u1ee7a \u0111\u01b0\u1eddng tròn (O). T\u1eeb \u0111i\u1ec3m chính gi\u1eefa M c\u1ee7a cung AB v\u1ebd dây MN song song v\u1edbi dây BC. G\u1ecdi giao \u0111i\u1ec3m c\u1ee7a MN và AC là S. Trong các kh\u1eb3ng \u0111\u1ecbnh sau, có bao nhiêu kh\u1eb3ng \u0111\u1ecbnh \u0111úng<\/strong>?<\/p>1. SM = SC<\/p>2. SA = SN<\/p>3. NC = MA<\/p>","options":["A.<\/strong> 0.","B.<\/strong> 1.","C.<\/strong> 2.","D.<\/strong> 3."],"correct":"4","level":"3","hint":"","answer":"Ch\u1ecdn D.<\/strong> 3.<\/span><\/p>• Xét kh\u1eb3ng \u0111\u1ecbnh 1. SM = SC (\u0111úng):<\/p>Vì M là \u0111i\u1ec3m chính gi\u1eefa cung AB nên $s\u0111\\stackrel\\frown{AM_n}=s\u0111\\stackrel\\frown{MB_n}$<\/span> suy ra $\\widehat{SCM}=\\widehat{MCB}$<\/span> (các góc n\u1ed9i ti\u1ebfp ch\u1eafn các cung b\u1eb1ng nhau thì b\u1eb1ng nhau).<\/p>Vì do MN \/ \/BC và $\\widehat{SMC}$<\/span> so le trong v\u1edbi $\\widehat{MCB}$<\/span> nên $\\widehat{SMC}=\\widehat{MCB}$<\/span>.<\/p>Ta có: $\\widehat{SMC}=\\widehat{MCB}$<\/span> ; $\\widehat{SCM}=\\widehat{MCB}$<\/span> suy ra $\\widehat{SMC}=\\widehat{SCM}$<\/span>.<\/p>Suy ra tam giác SCM cân t\u1ea1i S. Do \u0111ó SM = SC.<\/p>• Xét kh\u1eb3ng \u0111\u1ecbnh 2. SA = SN (\u0111úng):<\/p>Vì $\\widehat{SMC}=\\widehat{SCM}$<\/span> nên hai cung $\\stackrel\\frown{NC_n}$<\/span> và $\\stackrel\\frown{AM_n}$<\/span> b\u1eb1ng nhau (các góc n\u1ed9i ti\u1ebfp b\u1eb1ng nhau thì ch\u1eafn các cung b\u1eb1ng nhau).<\/p>Suy ra $\\widehat{NAS}=\\widehat{ANS}$<\/span>. <\/p>Suy ra tam giác SAN cân t\u1ea1i S. Do \u0111ó SA = SN.<\/p>• Xét kh\u1eb3ng \u0111\u1ecbnh 3. NC = MA (\u0111úng):<\/p>Vì hai cung $\\stackrel\\frown{NC_n}$<\/span> và $\\stackrel\\frown{AM_n}$<\/span> b\u1eb1ng nhau nên hai dây cung NC và AM c\u0169ng b\u1eb1ng nhau.<\/p><svg height=\"288\" width=\"321\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"290\" id=\"canvas_background\" width=\"323\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_2\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_9\"> <image height=\"288\" id=\"svg_1\" width=\"321\" x=\"1.5\" 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Arial, sans-serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(44.64596176147461 166.5,67.0499954223633) \" x=\"162.5\" xml:space=\"preserve\" y=\"75.45\">)<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(12.196196556091309 234.50000000000014,97.04999542236335) \" x=\"230.49999\" xml:space=\"preserve\" y=\"105.45\">(<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2025-05-28 12:26:49","option_type":"txt","len":0},{"id":"11656","post_id":"7989","mon_id":"1159278","chapter_id":"1159333","question":"Cho ΔABC cân t\u1ea1i A n\u1ed9i ti\u1ebfp \u0111\u01b0\u1eddng tròn (O). M là m\u1ed9t \u0111i\u1ec3m b\u1ea5t k\u1ef3 thu\u1ed9c cung nh\u1ecf AC. Tia AM c\u1eaft BC t\u1ea1i N. Ch\u1ecdn kh\u1eb3ng \u0111\u1ecbnh \u0111úng<\/strong>:<\/p>","options":["A.<\/strong> AB² = MN . AM.","B.<\/strong> AB² = AN . AM.","C.<\/strong> AB² = BN . BC.","D.<\/strong> AB² = BC . CN."],"correct":"2","level":"3","hint":"","answer":"Ch\u1ecdn B.<\/strong> AB² = AN . AM.<\/span><\/p>Vì ΔABC cân t\u1ea1i A nên $\\widehat{ABC}=\\widehat{ACB}$<\/span>.<\/p>L\u1ea1i có $\\widehat{AMB}=\\widehat{ACB}$<\/span> (hai góc n\u1ed9i ti\u1ebfp cùng ch\u1eafn cung AB nh\u1ecf).<\/p>Suy ra $\\widehat{AMB}=\\widehat{ABC}$<\/span> hay $\\widehat{AMB}=\\widehat{ABN}$<\/span><\/p>Xét ΔABM và ΔANB có $\\widehat{MAB}$<\/span> là góc chung, $\\widehat{AMB}=\\widehat{ABN}$<\/span>. Suy ra ΔABM $\\backsim$<\/span> ΔANB (g.g).<\/p>Suy ra $\\dfrac{AB}{AM}=\\dfrac{AN}{AB}$<\/span> hay AB² = AM . AN<\/strong><\/span>.<\/p><svg height=\"210\" width=\"280\"> <g><title><\/title><rect fill=\"#fff\" height=\"212\" id=\"canvas_background\" width=\"282\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_20\"> <ellipse cx=\"94.3\" cy=\"116.14999\" fill=\"#ffff56\" id=\"svg_1\" rx=\"90\" ry=\"90\" stroke=\"#000\" stroke-width=\"1.5\"><\/ellipse> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(130.7657470703125 181.65001678466797,102.14999771118164)\" x1=\"180.75585\" x2=\"182.54418\" y1=\"-15.61273\" y2=\"219.91271\"><\/line> <ellipse cx=\"94.29999\" cy=\"116.14999\" fill=\"#ff0000\" id=\"svg_4\" rx=\"3\" ry=\"3\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/ellipse> <line fill=\"none\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"93.29999\" x2=\"29.3\" y1=\"25.64999\" y2=\"177.64999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"29.3\" x2=\"270.29999\" y1=\"179\" y2=\"177.64999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"92.3\" x2=\"159.29999\" y1=\"24.64999\" y2=\"177.64999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_10\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"28.3\" x2=\"185.29999\" y1=\"178.64999\" y2=\"102.64999\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"24\" font-style=\"italic\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"259.29999\" xml:space=\"preserve\" y=\"200.64999\">N<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"24\" font-style=\"italic\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"89.29999\" xml:space=\"preserve\" y=\"21.64999\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"24\" font-style=\"italic\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"11.3\" xml:space=\"preserve\" y=\"195.64999\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"24\" font-style=\"italic\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"154.29999\" xml:space=\"preserve\" y=\"197.64999\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"24\" font-style=\"italic\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"185.29999\" xml:space=\"preserve\" y=\"102.64999\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"24\" font-style=\"italic\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"68.3\" xml:space=\"preserve\" y=\"124.64999\">O<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"24\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(-22.846567153930664 42.29999542236328,166.25000286102295)\" x=\"38.29999\" xml:space=\"preserve\" y=\"174.64999\">)<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"24\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(11.519183158874512 167.29998779296875,99.25000286102295)\" x=\"163.29999\" xml:space=\"preserve\" y=\"107.64999\">(<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"24\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(22.672475814819336 146.29998779296875,166.25000286102295)\" x=\"142.29999\" xml:space=\"preserve\" y=\"174.64999\">(<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2025-05-28 12:33:49","option_type":"txt","len":2}]}