Định lí Thalès trong tam giác

Home Lớp 8 Toán lớp 8 - Sách Kết nối tri thức Bài 15. Định lí Thalès trong tam giácBài tập nâng cao

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\" y=\"-1\"><\/image> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"73.95453\" xml:space=\"preserve\" y=\"68.49999\">12x<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_3\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"23.95452\" xml:space=\"preserve\" y=\"142.49999\">5x<\/text> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> $\\dfrac{17}{12}$<\/span>","B.<\/strong> $\\dfrac{5}{12}$<\/span>","C.<\/strong> $\\dfrac{7}{17}$<\/span>","D.<\/strong> $\\dfrac{17}{5}$<\/span>"],"correct":"4","level":"3","hint":"","answer":"Ta có: AM = AB + BM = 12x + 5x = 17x.<\/p>L\u1ea1i có: $\\widehat{AMN}=\\widehat{ABC}$<\/span> mà hai góc này \u1edf v\u1ecb trí \u0111\u1ed3ng v\u1ecb nên MN \/\/ BC.<\/p>Vì BC \/\/ MN nên theo \u0111\u1ecbnh lí Thalès ta có: <\/p>$\\dfrac{AN}{CN}=\\dfrac{AM}{BM}=\\dfrac{17x}{5x}=\\dfrac{17}{5}$<\/span><\/p>Ch\u1ecdn D.<\/strong> $\\dfrac{17}{5}$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-07-30 03:26:57","option_type":"math","len":0},{"id":"6186","post_id":"6579","mon_id":"1158921","chapter_id":"1158932","question":"Tìm c\u1eb7p \u0111\u01b0\u1eddng th\u1eb3ng song song trong hình.<\/p><svg height=\"200\" width=\"280\"> <g><title><\/title><rect fill=\"#fff\" height=\"202\" 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><line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"96.95453\" x2=\"27.95453\" y1=\"22.97727\" y2=\"169.97726\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"26.95453\" x2=\"236.95453\" y1=\"168.97726\" y2=\"169.97726\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"96.95453\" x2=\"235.95452\" y1=\"22.97727\" y2=\"168.97726\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"53.95453\" x2=\"177.95452\" y1=\"116.97727\" y2=\"107.97727\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_5\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"52.95453\" x2=\"148.95452\" y1=\"116.97726\" y2=\"169.97726\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"177.95453\" x2=\"148.95453\" y1=\"107.97727\" y2=\"169.97726\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"85.95453\" xml:space=\"preserve\" y=\"20.97727\">A<\/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\" x=\"6.95453\" xml:space=\"preserve\" y=\"182.97726\">D<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"245.95453\" xml:space=\"preserve\" y=\"177.97726\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"181.95453\" xml:space=\"preserve\" y=\"105.97726\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"32.95453\" xml:space=\"preserve\" y=\"116.97726\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"141.95453\" xml:space=\"preserve\" y=\"190.97726\">E<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"145.95453\" xml:space=\"preserve\" y=\"70.97727\">7,5 cm<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"207.95453\" xml:space=\"preserve\" y=\"134.97727\">5 cm<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"174.95453\" xml:space=\"preserve\" y=\"188.97726\">6 cm<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"2.95453\" xml:space=\"preserve\" y=\"139.97726\">6 cm<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" style=\"cursor: move;\" text-anchor=\"start\" x=\"33.95453\" xml:space=\"preserve\" y=\"70.97726\">7 cm<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"64.95453\" xml:space=\"preserve\" y=\"187.97726\">9 cm<\/text> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> BC \/\/ DM","B.<\/strong> BE \/\/ AM","C.<\/strong> CE \/\/ AD","D.<\/strong> Không có c\u1eb7p \u0111\u01b0\u1eddng th\u1eb3ng nào song song."],"correct":"3","level":"3","hint":"\u0110\u1ecbnh lí Thalès \u0111\u1ea3o:<\/strong> N\u1ebfu m\u1ed9t \u0111\u01b0\u1eddng th\u1eb3ng c\u1eaft hai c\u1ea1nh c\u1ee7a m\u1ed9t tam giác và \u0111\u1ecbnh ra trên hai c\u1ea1nh \u1ea5y nh\u1eefng \u0111o\u1ea1n th\u1eb3ng t\u01b0\u01a1ng \u1ee9ng t\u1ec9 l\u1ec7 thì \u0111\u01b0\u1eddng th\u1eb3ng \u0111ó song song v\u1edbi c\u1ea1nh còn l\u1ea1i c\u1ee7a tam giác.<\/p>","answer":"Ta có: $\\dfrac{MC}{AC}=\\dfrac{5}{7,5}=\\dfrac{2}{3}$<\/span>  và $\\dfrac{ME}{DE}=\\dfrac{6}{9}=\\dfrac{2}{3}$<\/span>.<\/p>Suy ra $\\dfrac{MC}{AC}=\\dfrac{ME}{DE}=\\dfrac{2}{3}$<\/span><\/p>Xét $\\Delta$<\/span>MAD có: C∈MA, E∈MD và $\\dfrac{MC}{AC}=\\dfrac{ME}{DE}=\\dfrac{2}{3}$<\/span><\/p>Suy ra CE \/\/ AD (theo \u0111\u1ecbnh lí Thalès \u0111\u1ea3o)<\/p>Ch\u1ecdn C.<\/strong> CE \/\/ AD<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-07-30 03:29:14","option_type":"txt","len":3},{"id":"6188","post_id":"6579","mon_id":"1158921","chapter_id":"1158932","question":"Tìm c\u1eb7p \u0111\u01b0\u1eddng th\u1eb3ng song song trong hình.<\/p><svg height=\"240\" width=\"300\"> <g><title><\/title><rect fill=\"#aaffaa\" height=\"242\" id=\"canvas_background\" width=\"302\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_5\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><g id=\"svg_22\"> <g id=\"svg_14\"> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"107.95453\" x2=\"43.95453\" y1=\"27.97727\" y2=\"216.97726\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"106.95453\" x2=\"265.95453\" y1=\"27.97727\" y2=\"215.97726\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"43.95453\" x2=\"264.95453\" y1=\"216\" y2=\"216\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"87.95453\" x2=\"154.95453\" y1=\"85\" y2=\"84.97727\"><\/line> <line fill=\"none\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"63.95453\" x2=\"216.95453\" y1=\"157\" y2=\"156.97726\"><\/line> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_7\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"97.95453\" xml:space=\"preserve\" y=\"25.97727\">A<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"64.95453\" xml:space=\"preserve\" y=\"93.97727\">M<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"156.95453\" xml:space=\"preserve\" y=\"88.97727\">N<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_10\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"47.95453\" xml:space=\"preserve\" y=\"160.97726\">B<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_11\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"222.95453\" xml:space=\"preserve\" y=\"154.97726\">C<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"24.95453\" xml:space=\"preserve\" y=\"229.97726\">D<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_13\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"267.95453\" xml:space=\"preserve\" y=\"221.97726\">E<\/text> <\/g> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_15\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"57.95453\" xml:space=\"preserve\" y=\"61.97727\">2 cm<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_16\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"136.95453\" xml:space=\"preserve\" y=\"58.97727\">3 cm<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_17\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"31.95453\" xml:space=\"preserve\" y=\"131.97726\">4 cm<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_18\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"194.95453\" xml:space=\"preserve\" y=\"124.97726\">6 cm<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_19\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"13.95453\" xml:space=\"preserve\" y=\"190.97726\">2 cm<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"17\" id=\"svg_21\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"245.95453\" xml:space=\"preserve\" y=\"187.97727\">3 cm<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","options":[" A.<\/strong> BC \/\/ MN"," B.<\/strong> MN \/\/ DE","C.<\/strong> DE\/\/ BC","D.<\/strong> BC \/\/ DE \/\/ MN"],"correct":"4","level":"3","hint":"","answer":"Ta có: $\\dfrac{AM}{MB}=\\dfrac{2}{4}=\\dfrac{1}{2}$<\/span>  và $\\dfrac{AN}{NC}=\\dfrac{3}{6}=\\dfrac{1}{2}$<\/span>. Suy ra $\\dfrac{AM}{MB}=\\dfrac{AN}{NC}=\\dfrac{1}{2}$<\/span><\/p>Xét $\\Delta$<\/span>ABC có: M∈AB, N∈AC và $\\dfrac{AM}{MB}=\\dfrac{AN}{NC}=\\dfrac{1}{2}$<\/span><\/p>Suy ra BC \/\/ MN<\/span> (theo \u0111\u1ecbnh lí Thalès \u0111\u1ea3o).<\/p>AD = 2 + 4 + 2 = 8 cm, AE = 3 + 6 + 3 = 12 cm.<\/p>Ta có: $\\dfrac{AM}{AD}=\\dfrac{2}{8}=\\dfrac{1}{4}$<\/span>  và $\\dfrac{AN}{AE}=\\dfrac{3}{12}=\\dfrac{1}{4}$<\/span>. Suy ra $\\dfrac{AM}{AD}=\\dfrac{AN}{AE}=\\dfrac{1}{4}$<\/span><\/p>Xét $\\Delta$<\/span>ADE có: M∈AD, N∈AE và $\\dfrac{AM}{AD}=\\dfrac{AN}{AE}=\\dfrac{1}{4}$<\/span><\/p>Suy ra DE \/\/ MN<\/span> (theo \u0111\u1ecbnh lí Thalès \u0111\u1ea3o).<\/p>V\u1eady BC \/\/ DE \/\/ MN<\/span>.<\/p>Ch\u1ecdn D.<\/strong> BC \/\/ DE \/\/ MN<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-07-30 03:42:27","option_type":"txt","len":2}]}