Định lí Pythagore và ứng dụng

Home Lớp 8 Toán lớp 8 - Sách Kết nối tri thức Bài 35. Định lí Pythagore và ứng dụngBài tập cơ bản

{"common":{"save":0,"post_id":"6651","level":1,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6859","post_id":"6651","mon_id":"1158921","chapter_id":"1158939","question":"Cho tam giác AMB vuông \u1edf B. Kh\u1eb3ng \u0111\u1ecbnh nào \u0111úng<\/strong>?<\/p>","options":["A.<\/strong> $AB^2=BM^2+AM^2$<\/span>","B.<\/strong> $AM^2=AB^2-BM^2$<\/span>","C.<\/strong> $BM^2=AM^2-AB^2$<\/span>","D.<\/strong> $AB^2=BM^2-AM^2$<\/span>"],"correct":"3","level":"1","hint":"Trong m\u1ed9t tam giác vuông, bình ph\u01b0\u01a1ng c\u1ee7a c\u1ea1nh huy\u1ec1n b\u1eb1ng t\u1ed5ng các bình ph\u01b0\u01a1ng c\u1ee7a hai c\u1ea1nh góc vuông.<\/p>","answer":"<svg height=\"200\" width=\"305\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"202\" id=\"canvas_background\" width=\"307\" 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> <path d=\"m22.59474,166.74193l0,-147.99999l254.99999,147.99999l-254.99999,0z\" fill=\"#56ff56\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"-0.04547\" xml:space=\"preserve\" y=\"175.88635\">B<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_3\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"0.95453\" xml:space=\"preserve\" y=\"22.88636\">A<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_4\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"281.95452\" xml:space=\"preserve\" y=\"177.88635\">M<\/text> <rect fill=\"#fff\" height=\"20\" id=\"svg_5\" stroke=\"#000\" stroke-width=\"1.5\" width=\"18\" x=\"22.95453\" y=\"146.88635\"><\/rect> <\/g> <\/svg><\/span><\/p>Vì tam giác AMB vuông \u1edf B nên theo \u0111\u1ecbnh lí Pythagore ta có: <\/p>           $AB^2+BM^2=AM^2$<\/span> (c\u1ea1nh huy\u1ec1n là AM, hai c\u1ea1nh góc vuông là AB và BM)<\/p>suy ra $BM^2=AM^2-AB^2$<\/span><\/p>Ch\u1ecdn C.<\/strong> $BM^2=AM^2-AB^2$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-09-07 21:31:38","option_type":"math","len":0},{"id":"6860","post_id":"6651","mon_id":"1158921","chapter_id":"1158939","question":"Tính \u0111\u1ed9 dài x trong hình.<\/p><svg height=\"180\" width=\"310\"> <g><title><\/title><rect fill=\"#fff\" height=\"182\" id=\"canvas_background\" width=\"312\" 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><path d=\"m75.15476,132.71691l0,-109.99999l208,109.99999l-208,0z\" fill=\"#fff\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <rect fill=\"#fff\" height=\"16\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"1.5\" width=\"14\" x=\"75.95453\" y=\"116.88635\"><\/rect> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_3\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"57.95453\" xml:space=\"preserve\" y=\"143.88635\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_4\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"56.95453\" xml:space=\"preserve\" y=\"25.88636\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"286.95452\" xml:space=\"preserve\" y=\"145.88635\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"1.95453\" xml:space=\"preserve\" y=\"84.88636\">1,5 cm<\/text> <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=\"143.95453\" xml:space=\"preserve\" y=\"160.88635\">3,6 cm<\/text> <text fill=\"#ff0000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" font-style=\"normal\" font-weight=\"bold\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"174.95453\" xml:space=\"preserve\" y=\"68.88636\">x<\/text> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> x = 3,9 cm","B.<\/strong> x = 3,6 cm","C.<\/strong> x = 4,9 cm","D.<\/strong> x = 3,5 cm"],"correct":"1","level":"1","hint":"Trong m\u1ed9t tam giác vuông, bình ph\u01b0\u01a1ng c\u1ee7a c\u1ea1nh huy\u1ec1n b\u1eb1ng t\u1ed5ng các bình ph\u01b0\u01a1ng c\u1ee7a hai c\u1ea1nh góc vuông.<\/p>","answer":"Vì tam giác AMB vuông \u1edf B nên theo \u0111\u1ecbnh lí Pythagore ta có:          <\/p>           $AB^2+BM^2=AM^2$<\/span> (c\u1ea1nh huy\u1ec1n là AM, hai c\u1ea1nh góc vuông là AB và BM)<\/p>suy ra $1,5^2+3,6^2=x^2$<\/span><\/p>hay $x^2=15,21$<\/span><\/p>suy ra $x=3,9 $<\/span> (cm)<\/p>Ch\u1ecdn A.<\/strong> x = 3,9 cm<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-09-07 21:33:21","option_type":"txt","len":1},{"id":"6863","post_id":"6651","mon_id":"1158921","chapter_id":"1158939","question":"Tính \u0111\u1ed9 dài x trong hình.<\/p><svg height=\"220\" width=\"340\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\"> <g><title><\/title><rect fill=\"#fff\" height=\"222\" id=\"canvas_background\" width=\"342\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" height=\"100%\" id=\"canvasGrid\" overflow=\"visible\" width=\"100%\" x=\"0\" y=\"0\"> <rect 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\" y=\"0\"><\/image> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"159.95453\" xml:space=\"preserve\" y=\"88.49999\">60 cm<\/text> <text fill=\"#ff0000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" font-weight=\"bold\" id=\"svg_3\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"5.95453\" xml:space=\"preserve\" y=\"118.49999\">x<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_4\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"114.95453\" xml:space=\"preserve\" y=\"204.49999\">48 cm<\/text> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> x = 39 cm","B.<\/strong> x = 1296 cm","C.<\/strong> x = 40 cm","D.<\/strong> x = 36 cm"],"correct":"4","level":"1","hint":"Trong m\u1ed9t tam giác vuông, bình ph\u01b0\u01a1ng c\u1ee7a c\u1ea1nh huy\u1ec1n b\u1eb1ng t\u1ed5ng các bình ph\u01b0\u01a1ng c\u1ee7a hai c\u1ea1nh góc vuông.<\/p>","answer":"Vì tam giác AMB vuông \u1edf B nên theo \u0111\u1ecbnh lí Pythagore ta có:          <\/p>           $AB^2+BM^2=AM^2$<\/span> (c\u1ea1nh huy\u1ec1n là AM, hai c\u1ea1nh góc vuông là AB và BM)<\/p>suy ra $x^2+48^2=60^2$<\/span><\/p>suy ra $x^2=60^2-48^2=1296$<\/span><\/p>suy ra $x=36$<\/span> (cm)<\/p>Ch\u1ecdn D.<\/strong> x = 36 cm<\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2023-09-07 21:40:36","option_type":"txt","len":1}]}