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Home Ôn thi tốt nghiệp THPT môn Toán - Lớp 12Đề thi THPTQG môn Toán 2025 (đề chính thức)

Ôn thi tốt nghiệp THPT môn Toán - Lớp 12 - Đề thi THPTQG môn Toán 2025 (đề chính thức)

{"save":1,"level":1,"time":"50","total":34,"point":5,"segment":[{"id":"7728","test_id":"603","question":"Cho hình l\u0103ng tr\u1ee5 ABC.A'B'C' (xem hình v\u1ebd).<\/p><svg height=\"200\" width=\"240\"> <g>\\n<title><\/title>\\n<rect fill=\"#fff\" height=\"202\" id=\"canvas_background\" width=\"242\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_7\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g>\\n<title><\/title>\\n<line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"142\" x2=\"37\" y1=\"16.25\" y2=\"74.25\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"142\" x2=\"220\" y1=\"16\" y2=\"74\"><\/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=\"37\" x2=\"220\" y1=\"74\" y2=\"74.25\"><\/line> <line fill=\"none\" id=\"svg_4\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"121\" x2=\"16\" y1=\"131.25\" y2=\"189.25\"><\/line> <line fill=\"none\" id=\"svg_5\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"121\" x2=\"199\" y1=\"131\" y2=\"189\"><\/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=\"16\" x2=\"199\" y1=\"189\" y2=\"189.25\"><\/line> <line fill=\"none\" id=\"svg_8\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"142\" x2=\"121\" y1=\"16\" y2=\"131.25\"><\/line> <line fill=\"none\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"37\" x2=\"16\" y1=\"74\" y2=\"189.25\"><\/line> <line fill=\"none\" id=\"svg_10\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"220\" x2=\"199\" y1=\"74\" y2=\"189.25\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"105\" xml:space=\"preserve\" y=\"127.25\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"1\" xml:space=\"preserve\" y=\"194.25\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"201\" xml:space=\"preserve\" y=\"196.25\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"136\" xml:space=\"preserve\" y=\"13.25\">A'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"20\" xml:space=\"preserve\" y=\"78.25\">B'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"’Times New Roman’, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"221\" xml:space=\"preserve\" y=\"80.25\">C'<\/text> <\/g> <\/svg><\/span><\/p>Phát bi\u1ec3u nào sau \u0111ây là \u0111úng<\/strong>?<\/p>","options":["A.<\/strong> $\\overrightarrow{BA}+\\overrightarrow{A^\\prime C^\\prime}=\\overrightarrow{BC^\\prime}$<\/span>.","B.<\/strong> $\\overrightarrow{BA}+\\overrightarrow{A^\\prime C^\\prime}=\\overrightarrow{C^\\prime B^\\prime}$<\/span>.","C.<\/strong> $\\overrightarrow{BA}+\\overrightarrow{A^\\prime C^\\prime}=\\overrightarrow{BC}$<\/span>.","D.<\/strong> $\\overrightarrow{BA}+\\overrightarrow{A^\\prime C^\\prime}=\\overrightarrow{A^\\prime A}$<\/span>."],"correct":"3","answer":"Ch\u1ecdn <\/span>C.<\/strong> $\\overrightarrow{BA}+\\overrightarrow{A^\\prime C^\\prime}=\\overrightarrow{BC}$<\/span>.<\/span><\/p>Ta có: $\\overrightarrow{BA}+\\overrightarrow{A^\\prime C^\\prime}=\\overrightarrow{BA}+\\overrightarrow{AC}=\\overrightarrow{BC}$<\/span> (vì $\\overrightarrow{AC}=\\overrightarrow{A^\\prime C^\\prime}$<\/span>).<\/p>","type":"choose","user_id":"131","test":"1","date":"2025-07-06 07:51:13"},{"id":"7729","test_id":"603","question":"Cho hình h\u1ed9p ABCD.A'B'C'D' (xem hình v\u1ebd).<\/p><svg height=\"185\" width=\"325\"> <g> <title><\/title> <rect fill=\"#fff\" height=\"187\" id=\"canvas_background\" width=\"327\" 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_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"555\" x2=\"555\" y1=\"160.25\" y2=\"158.25\"><\/line> <g id=\"svg_23\"> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"100.49998\" x2=\"303.49998\" y1=\"20.98012\" y2=\"21\"><\/line> <line fill=\"none\" id=\"svg_3\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"45.5\" x2=\"248.50001\" y1=\"66.9801\" y2=\"66.99999\"><\/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=\"99.99999\" x2=\"46.00005\" y1=\"21\" y2=\"67\"><\/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=\"302.9999\" x2=\"248.99996\" y1=\"21\" y2=\"67\"><\/line> <line fill=\"none\" id=\"svg_6\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"71.49999\" x2=\"274.49999\" y1=\"123.98008\" y2=\"123.99996\"><\/line> <line fill=\"none\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"16.50002\" x2=\"219.50002\" y1=\"169.98006\" y2=\"169.99994\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_8\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"71.00001\" x2=\"17.00007\" y1=\"123.99996\" y2=\"169.99996\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_9\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"273.99991\" x2=\"219.99997\" y1=\"123.99996\" y2=\"169.99996\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_10\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"100.00003\" x2=\"71.00004\" y1=\"21\" y2=\"124\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_11\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"302.99994\" x2=\"273.99995\" y1=\"21\" y2=\"124\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_12\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"46.00005\" x2=\"17.00007\" y1=\"66.99999\" y2=\"169.99999\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_13\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"248.99997\" x2=\"219.99998\" y1=\"66.99998\" y2=\"169.99998\"><\/line> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"89.00004\" xml:space=\"preserve\" y=\"16.47228\">A'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"29.00006\" xml:space=\"preserve\" y=\"68.47226\">B'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"304.99994\" xml:space=\"preserve\" y=\"19.47228\">D'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"250.99997\" xml:space=\"preserve\" y=\"78.47225\">C'<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"55.00005\" xml:space=\"preserve\" y=\"123.47223\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"4.00007\" xml:space=\"preserve\" y=\"180.47221\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_20\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"222.99998\" xml:space=\"preserve\" y=\"178.47221\">C<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Times New Roman, Times, serif\" font-size=\"17\" font-weight=\"bold\" id=\"svg_22\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"277.99996\" xml:space=\"preserve\" y=\"129.47223\">D<\/text> <\/g> <\/g> <\/svg><\/span><\/p>\u0110\u01b0\u1eddng th\u1eb3ng AB song song v\u1edbi m\u1eb7t ph\u1eb3ng nào sau \u0111ây?<\/p>","options":["A.<\/strong> (CC'A'A)","B.<\/strong> (BB'C'C)","C.<\/strong> (A'B'C'D')","D.<\/strong> (AA'D'D)"],"correct":"3","answer":"Ch\u1ecdn C.<\/strong> (A'B'C'D').<\/span><\/p>Vì AB \/\/ A'B' mà A'B' $\\subset$<\/span> (A'B'C'D') nên AB \/\/ (A'B'C'D').<\/p>","type":"choose","user_id":"131","test":"1","date":"2025-07-06 07:51:31"}]}

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