Hai tam giác bằng nhau. Trường hợp bằng nhau thứ nhất của tam giác.

Home Lớp 7 Toán lớp 7 - Sách kết nối tri thức Bài 13: Hai tam giác bằng nhau. Trường hợp bằng nhau thứ nhất của tam giác.Bài tập nâng cao

{"common":{"save":0,"post_id":"5693","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7112","post_id":"5693","mon_id":"1158532","chapter_id":"1158548","question":"Cho tam giác MNP có MN = MP  và  Q là trung \u0111i\u1ec3m c\u1ee7a NP (hình v\u1ebd). K\u1ebft lu\u1eadn nào là \u0111úng?<\/p><svg height=\"230\" width=\"200\"> <g><title><\/title><rect fill=\"#fff\" height=\"232\" id=\"canvas_background\" width=\"202\" 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=\"m24.635,205.28687l77.5,-183l77.5,183l-155,0z\" fill=\"#aaffaa\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"102\" x2=\"102\" y1=\"22.25\" y2=\"205.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"51\" x2=\"70\" y1=\"109.25\" y2=\"124.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(100 140.5,116.75) \" x1=\"131\" x2=\"150\" y1=\"109.25\" y2=\"124.25\"><\/line> <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\" style=\"cursor: move;\" text-anchor=\"start\" x=\"63\" xml:space=\"preserve\" y=\"209.25\">||<\/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\" style=\"cursor: move;\" text-anchor=\"start\" x=\"133\" xml:space=\"preserve\" y=\"209.25\">||<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"97\" xml:space=\"preserve\" y=\"18.25\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"12\" xml:space=\"preserve\" y=\"207.25\">N<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"98\" xml:space=\"preserve\" y=\"219.25\">Q<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"184\" xml:space=\"preserve\" y=\"202.25\">P<\/text> <\/g> <\/svg><\/span><\/p>","options":["A. <\/strong>$\\triangle MQN = \\triangle MPN$<\/span>","B.<\/strong> $\\triangle MNQ = \\triangle MPQ$<\/span>","C. <\/strong>$\\triangle MNP = \\triangle MPQ$<\/span>","D. <\/strong>$\\triangle MQP = \\triangle MNQ$<\/span>"],"correct":"2","level":"3","hint":"","answer":"Ta có hình v\u1ebd<\/p><svg height=\"230\" width=\"200\"> <g><title><\/title><rect fill=\"#fff\" height=\"232\" id=\"canvas_background\" width=\"202\" 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=\"m24.635,205.28687l77.5,-183l77.5,183l-155,0z\" fill=\"#aaffaa\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"102\" x2=\"102\" y1=\"22.25\" y2=\"205.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"51\" x2=\"70\" y1=\"109.25\" y2=\"124.25\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_4\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(100 140.5,116.75) \" x1=\"131\" x2=\"150\" y1=\"109.25\" y2=\"124.25\"><\/line> <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\" style=\"cursor: move;\" text-anchor=\"start\" x=\"63\" xml:space=\"preserve\" y=\"209.25\">||<\/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\" style=\"cursor: move;\" text-anchor=\"start\" x=\"133\" xml:space=\"preserve\" y=\"209.25\">||<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"97\" xml:space=\"preserve\" y=\"18.25\">M<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"12\" xml:space=\"preserve\" y=\"207.25\">N<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_9\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"98\" xml:space=\"preserve\" y=\"219.25\">Q<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_10\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"184\" xml:space=\"preserve\" y=\"202.25\">P<\/text> <\/g> <\/svg><\/span><\/p>Xét tam giác MNQ và tam giác MPQ có<\/p>MN = MP<\/p>MQ là c\u1ea1nh chung<\/p>NQ = PQ (vì Q là trung \u0111i\u1ec3m c\u1ee7a NP)<\/p>Suy ra  $\\triangle MNQ = \\triangle MPQ$<\/span>  (c.c.c)<\/p>\u0110áp án \u0111úng là   B.<\/strong> $\\triangle MNQ = \\triangle MPQ$<\/span><\/span><\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"1","date":"2022-04-15 09:16:49","option_type":"math","len":0},{"id":"7122","post_id":"5693","mon_id":"1158532","chapter_id":"1158548","question":"Cho $\\triangle MNP = \\triangle EFG$<\/span> . Bi\u1ebft MN = 7cm ; EG = 10cm và chu vi tam giác MNP là  25cm. Tính \u0111\u1ed9 dài các c\u1ea1nh NP và EF.<\/p>\u0110áp s\u1ed1:  NP = <input class=\"tim_x input_number\" tpl=\"dien_so\" type=\"text\"\/> cm  ;  EF = <input class=\"tim_x input_number\" tpl=\"dien_so\" type=\"text\"\/> cm .<\/p>","options":"","correct":["[\"8\",\"7\"]"],"level":"3","hint":"","answer":"Vì  $\\triangle MNP = \\triangle EFG$<\/span> nên<\/p>MN = EF ⇒ EF = 7cm<\/p>NP = FG<\/p>MP = EG ⇒ MP = 10cm<\/p>Vì chu vi tam giác MNP là 25cm nên<\/p>MN + NP + MP = 25<\/p>⇒ NP = 25 - MN - MP = 25 - 7 - 10 = 8cm<\/p>V\u1eady NP = 8cm ; EF = 7cm<\/p>Các s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t  là   8  và   7<\/span><\/p>","type":"blank","extra_type":"","time":"0","user_id":"131","test":"1","date":"2022-04-16 08:59:51"},{"id":"7124","post_id":"5693","mon_id":"1158532","chapter_id":"1158548","question":"Cho  $\\triangle MNP = \\triangle EFG$<\/span> . Bi\u1ebft MN = 12cm ; FG = 13cm và chu vi tam giác MNP b\u1eb1ng 39cm. Tính \u0111\u1ed9 dài các c\u1ea1nh MP và EF.<\/p>\u0110áp s\u1ed1: MP = <input class=\"tim_x input_number\" tpl=\"dien_so\" type=\"text\"\/> cm ; EF = <input class=\"tim_x input_number\" tpl=\"dien_so\" type=\"text\"\/> cm.<\/p>","options":"","correct":["[\"14\",\"12\"]"],"level":"3","hint":"","answer":"Vì  $\\triangle MNP = \\triangle EFG$<\/span> nên  <\/p>MN = EF ⇒ EF = 12cm<\/p>NP = FG ⇒ NP = 13cm<\/p>MP = EG<\/p>Vì chu vi tam giác MNP b\u1eb1ng  39cm nên<\/p>MN + NP + MP = 39<\/p>⇒ MP = 39 - MN - NP = 39 - 12 - 13 = 14 cm<\/p>V\u1eady MP = 14cm ; EF = 12cm<\/p>Các s\u1ed1 c\u1ea7n \u0111i\u1ec1n l\u1ea7n l\u01b0\u1ee3t là   14 và 12<\/span><\/p>","type":"blank","extra_type":"","time":"0","user_id":"131","test":"1","date":"2022-04-16 09:05:41"}]}