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Home Toán lớp 7 - Sách kết nối tri thức Đề kiểm tra

Toán lớp 7 - Sách kết nối tri thức - Đề kiểm tra 45 phút - Toán lớp 7 - Sách kết nối tri thức - Tháng 12 - Số 1

{"save":1,"level":1,"time":"45","total":25,"point":5,"segment":[{"id":"10048","test_id":"680","question":"Cho \u0111o\u1ea1n th\u1eb3ng AD và BC c\u1eaft nhau t\u1ea1i O nh\u01b0 hình v\u1ebd sao cho OA = OB, OC = OD.<\/p><svg height=\"160\" width=\"290\"> <g>\\n<title><\/title>\\n<rect fill=\"#fff\" height=\"162\" id=\"canvas_background\" width=\"292\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_4\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g>\\n<title><\/title>\\n<path d=\"m22.43501,137.56774l45.9375,-110.00003l153.12499,0l45.93748,110.00003l-244.99997,0z\" fill=\"#aad4ff\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/path> <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=\"67.99999\" x2=\"268.99999\" y1=\"27.45\" y2=\"138.45\"><\/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=\"222.99998\" x2=\"22.99999\" y1=\"27.44999\" y2=\"137.45\"><\/line> <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=\"45.99999\" xml:space=\"preserve\" y=\"23.45\">A<\/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=\"269.99999\" xml:space=\"preserve\" y=\"150.45\">D<\/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=\"224.99999\" xml:space=\"preserve\" y=\"28.45\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"2.99999\" xml:space=\"preserve\" y=\"154.45\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"136.99999\" xml:space=\"preserve\" y=\"93.45\">O<\/text> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_15\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"109.99999\" x2=\"114.99999\" y1=\"59.45\" y2=\"47.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_16\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"176.99999\" x2=\"182.99999\" y1=\"45.45\" y2=\"58.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_17\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"200.99999\" x2=\"195.99999\" y1=\"92.45\" y2=\"108.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_18\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"83.99999\" x2=\"90.99999\" y1=\"93.45\" y2=\"106.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_19\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"87.99999\" x2=\"94.99999\" y1=\"92.45\" y2=\"105.45\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_20\" stroke=\"#000\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"197.99999\" x2=\"192.99999\" y1=\"89.45\" y2=\"105.45\"><\/line> <\/g> <\/svg><\/span><\/p>Kh\u1eb3ng \u0111\u1ecbnh nào sau \u0111ây là \u0111úng?<\/p>(1) AC > BD.<\/p>(2) ΔABC = ΔBAD.<\/p>(3) ΔOAB cân t\u1ea1i O.<\/p>(4) $\\widehat{OCD}=\\dfrac{1}{2}\\widehat{ODC}$<\/span>.<\/p>","options":["A.<\/strong> (2) và (3).","B.<\/strong> (1) và (2).","C.<\/strong> (1), (3) và (4).","D.<\/strong> (3)."],"correct":"1","answer":"Ch\u1ecdn A.<\/strong> (2) và (3).<\/span><\/p>• Xét ΔOAC và ΔOBD có:<\/p>OA = OB (gt)<\/p>$\\widehat{AOC}=\\widehat{BOD}$<\/span> (\u0111\u1ed1i \u0111\u1ec9nh)<\/p>OC = OD (gt)<\/p>Suy ra ΔOAC = ΔOBD (c.g.c)<\/p>Suy ra AC = BD (hai c\u1ea1nh t\u01b0\u01a1ng \u1ee9ng) → (1) sai<\/span>.<\/p>• Ta có: AD = OA<\/span> + OD<\/span>, BC = OB<\/span> + OC<\/span>.<\/p>Mà OA = OB<\/span>, OD = OC<\/span> nên AD = BC.<\/p>Xét ΔABC và ΔBAD có:<\/p>AB là c\u1ea1nh chung<\/p>BC = AD (cmt)<\/p>AC = BD (cmt)<\/p>Suy ra ΔABC = ΔBAD (c.c.c) → (2) \u0111úng<\/span>.<\/p>• Vì ΔOAB có OA = OB (gt) nên ΔOAB cân t\u1ea1i O → (3) \u0111úng<\/span>.<\/p>• Vì ΔOCD có OC = OD (gt) nên ΔOCD cân t\u1ea1i O.<\/p>Suy ra $\\widehat{OCD}=\\widehat{ODC}$<\/span> (hai góc \u1edf \u0111áy) → (4) sai<\/span>.<\/p>","type":"choose","user_id":"126","test":"1","date":"2025-08-03 12:11:20"},{"id":"10049","test_id":"680","question":"Cho ΔDEF và ΔMNP có $\\widehat{E}=\\widehat{M}=90^o$<\/span> và ED = MP. C\u1ea7n \u0111i\u1ec1u ki\u1ec7n gì \u0111\u1ec3 hai tam giác DEF và tam giác MNP b\u1eb1ng nhau theo tr\u01b0\u1eddng h\u1ee3p hai c\u1ea1nh góc vuông?<\/p><svg height=\"165\" width=\"310\"> <g>\\n<title><\/title>\\n<rect fill=\"#fff\" height=\"167\" id=\"canvas_background\" width=\"312\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_9\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g>\\n<title><\/title>\\n<g id=\"svg_14\"> <path d=\"m20.84999,139.32774l0,-119l83,119l-83,0z\" fill=\"#aaff56\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\"><\/path> <path d=\"m188.84999,153.32774l0,-118.99999l83,118.99999l-83,0z\" fill=\"#56ffff\" id=\"svg_2\" stroke=\"#000\" stroke-width=\"1.5\" transform=\"rotate(90 230.3499755859375,93.82774353027347) \"><\/path> <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=\"1.99999\" xml:space=\"preserve\" y=\"22.45\">D<\/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=\"0.99999\" xml:space=\"preserve\" y=\"159.45\">E<\/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=\"100.99999\" xml:space=\"preserve\" y=\"160.45\">F<\/text> <rect fill=\"#fff\" fill-opacity=\"null\" height=\"10\" id=\"svg_6\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" width=\"10\" x=\"20.99999\" y=\"129.45\"><\/rect> <rect fill=\"#fff\" fill-opacity=\"null\" height=\"10\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\" width=\"10\" x=\"170.99999\" y=\"52.45\"><\/rect> <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=\"156.99999\" xml:space=\"preserve\" y=\"49.45\">M<\/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=\"291.99999\" xml:space=\"preserve\" y=\"49.45\">P<\/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=\"151.99999\" xml:space=\"preserve\" y=\"147.45\">N<\/text> <line fill=\"none\" id=\"svg_12\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"14.99999\" x2=\"25.99999\" y1=\"80.45\" y2=\"86.45\"><\/line> <line fill=\"none\" id=\"svg_13\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"228.99999\" x2=\"221.99999\" y1=\"46.45\" y2=\"61.45\"><\/line> <\/g> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> DF = NP.","B.<\/strong> EF = NP.","C.<\/strong> FE = MN.","D. <\/strong>DF = MN."],"correct":"3","answer":"Ch\u1ecdn C.<\/strong> FE = MN.<\/span><\/p>ΔDEF vuông t\u1ea1i E (vì $\\widehat{E}=90^o$<\/span>) có hai c\u1ea1nh góc vuông là ED và EF.<\/p>ΔMNP vuông t\u1ea1i M (vì $\\widehat{M}=90^o$<\/span>) có hai c\u1ea1nh góc vuông là MP và MN.<\/p>Vì ED = MP nên \u0111\u1ec3 hai tam giác DEF và tam giác MNP b\u1eb1ng nhau theo tr\u01b0\u1eddng h\u1ee3p hai c\u1ea1nh góc vuông thì c\u1ea7n thêm \u0111i\u1ec1u ki\u1ec7n là EF = MN<\/span><\/strong>.<\/p>","type":"choose","user_id":"126","test":"1","date":"2025-08-03 12:12:09"}]}

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