Luyện tập chung bài 1, 2

Home Lớp 9 Toán lớp 9 - Sách Kết nối tri thức Luyện tập chung (sau bài 1, 2)Bài tập trung bình

{"common":{"save":0,"post_id":"7751","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7081","post_id":"7751","mon_id":"1159278","chapter_id":"1159281","question":"Ph\u01b0\u01a1ng trình b\u1eadc nh\u1ea5t hai \u1ea9n có t\u1eadp nghi\u1ec7m \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi hình v\u1ebd d\u01b0\u1edbi \u0111ây là:<\/p><svg height=\"200\" width=\"230\"> <g><title><\/title><rect fill=\"#aaffaa\" height=\"202\" id=\"canvas_background\" width=\"232\" 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><g id=\"svg_12\"> <g id=\"svg_7\"> <line fill=\"none\" id=\"svg_1\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"66\" x2=\"66\" y1=\"10.25\" y2=\"195.25\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"4\" x2=\"220.99999\" y1=\"128.25\" y2=\"128\"><\/line> <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\" transform=\"rotate(-90 65.00781250000001,12.749999999999995) \" x=\"58\" xml:space=\"preserve\" y=\"21.25\">><\/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=\"211\" xml:space=\"preserve\" y=\"136.25\">><\/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=\"44\" xml:space=\"preserve\" y=\"125.25\">O<\/text> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-opacity=\"null\" stroke-width=\"1.5\" transform=\"rotate(45 116.00000000000009,114.62499999999994) \" x1=\"116\" x2=\"116\" y1=\"11.25\" y2=\"218\"><\/line> <\/g> <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=\"98\" xml:space=\"preserve\" y=\"149.25\">1<\/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=\"42\" xml:space=\"preserve\" y=\"167.25\">-1<\/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=\"46\" xml:space=\"preserve\" y=\"25.25\">y<\/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=\"208\" xml:space=\"preserve\" y=\"148.25\">x<\/text> <\/g> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> x – y = –1","B.<\/strong> x – y = 1","C.<\/strong> x + y = 1","D.<\/strong> x + y = –1"],"correct":"2","level":"2","hint":"","answer":"Ch\u1ecdn B.<\/strong> x – y = 1.<\/span><\/p>Nhìn hình v\u1ebd ta th\u1ea5y \u0111\u01b0\u1eddng th\u1eb3ng \u0111i qua hai \u0111i\u1ec3m (1 ; 0) và (0 ; –1).<\/p>Do \u0111ó c\u1eb7p s\u1ed1 (1 ; 0) và (0 ; –1) là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình c\u1ea7n tìm.<\/p>Mà $\\begin{cases}1-0=1\\\\0-(-1)=1\\end{cases}$<\/span> nên ph\u01b0\u01a1ng trình b\u1eadc nh\u1ea5t hai \u1ea9n có t\u1eadp nghi\u1ec7m \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi hình v\u1ebd là: $x-y=1$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-02 02:16:20","option_type":"txt","len":2},{"id":"7084","post_id":"7751","mon_id":"1159278","chapter_id":"1159281","question":"Ph\u01b0\u01a1ng trình có t\u1eadp nghi\u1ec7m \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi hình v\u1ebd d\u01b0\u1edbi \u0111ây là:<\/p><svg height=\"160\" width=\"170\"> <g><title><\/title><rect fill=\"#d4ffaa\" height=\"162\" id=\"canvas_background\" width=\"172\" 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=\"76\" x2=\"76\" y1=\"0.25\" y2=\"163.25\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"-89\" x2=\"163\" y1=\"119.25\" y2=\"119\"><\/line> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_3\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(-90 75.00781250000001,4.749999999999994) \" x=\"68\" xml:space=\"preserve\" y=\"13.25\">><\/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=\"153\" xml:space=\"preserve\" y=\"127.25\">><\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_5\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"54\" xml:space=\"preserve\" y=\"140.25\">O<\/text> <line fill=\"none\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(26 70.99999999999994,76.25000000000001) \" x1=\"71\" x2=\"71\" y1=\"-21.75\" y2=\"174.25\"><\/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=\"82\" xml:space=\"preserve\" y=\"73.25\">1<\/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=\"39\" xml:space=\"preserve\" y=\"86.25\">1<\/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=\"39\" xml:space=\"preserve\" y=\"111.25\">2<\/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=\"20\" xml:space=\"preserve\" y=\"87.25\">_<\/text> <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=\"40\" x2=\"54\" y1=\"90.25\" y2=\"90\"><\/line> <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=\"154\" xml:space=\"preserve\" y=\"139.25\">x<\/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=\"56\" xml:space=\"preserve\" y=\"15.25\">y<\/text> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> y = 2x + 1","B.<\/strong> y = 2x – 1","C.<\/strong> y = x + 2","D.<\/strong> y = x – 2"],"correct":"1","level":"2","hint":"","answer":"Ch\u1ecdn A.<\/strong> y = 2x + 1.<\/span><\/p>Gi\u1ea3 s\u1eed ph\u01b0\u01a1ng trình có t\u1eadp nghi\u1ec7m \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi hình v\u1ebd trên là: y = ax + b v\u1edbi a $\\ne$<\/span> 0.<\/p>Hình v\u1ebd trên bi\u1ec3u di\u1ec5n \u0111\u01b0\u1eddng th\u1eb3ng \u0111i qua hai \u0111i\u1ec3m $\\bigg(-\\dfrac{1}{2};0\\bigg)$<\/span> và $(0;1)$<\/span>.<\/p>Do \u0111ó $\\bigg(-\\dfrac{1}{2};0\\bigg)$<\/span> và $(0;1)$<\/span> là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình y = ax + b.<\/p>Ta có h\u1ec7 ph\u01b0\u01a1ng trình: $\\begin{cases}-\\dfrac{1}{2}a+b=0\\\\a.0+b=1\\end{cases}$<\/span> hay $\\begin{cases}a=2\\\\b=1\\end{cases}$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-02 02:28:27","option_type":"txt","len":2},{"id":"7086","post_id":"7751","mon_id":"1159278","chapter_id":"1159281","question":"Ph\u01b0\u01a1ng trình có t\u1eadp nghi\u1ec7m \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi hình v\u1ebd d\u01b0\u1edbi \u0111ây là:<\/p><svg height=\"150\" width=\"180\"> <g><title><\/title><rect fill=\"#ffffaa\" height=\"152\" id=\"canvas_background\" width=\"182\" 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=\"40\" x2=\"40\" y1=\"-0.75\" y2=\"160.25\"><\/line> <line fill=\"none\" id=\"svg_2\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"0\" x2=\"167\" y1=\"113.25\" y2=\"113.25\"><\/line> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_3\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"157\" xml:space=\"preserve\" y=\"121.25\">><\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_4\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(-90 39.00781250000001,5.749999999999997) \" x=\"32\" xml:space=\"preserve\" y=\"14.25\">><\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_5\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"20\" xml:space=\"preserve\" y=\"133.25\">O<\/text> <line fill=\"none\" id=\"svg_6\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" transform=\"rotate(-26.5 57.99999999999997,74.75) \" x1=\"58\" x2=\"58\" y1=\"-6.75\" y2=\"156.25\"><\/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=\"49\" xml:space=\"preserve\" y=\"15.25\">y<\/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=\"159\" xml:space=\"preserve\" y=\"132.25\">x<\/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=\"77\" xml:space=\"preserve\" y=\"107.25\">1<\/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=\"22\" xml:space=\"preserve\" y=\"50.25\">2<\/text> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> y = –2x + 1","B.<\/strong> y = –2x + 2","C.<\/strong> y = 2x + 1","D.<\/strong> y = 2x – 1"],"correct":"2","level":"2","hint":"","answer":"Ch\u1ecdn B.<\/strong> y = –2x + 2.<\/span><\/p>Gi\u1ea3 s\u1eed ph\u01b0\u01a1ng trình có t\u1eadp nghi\u1ec7m \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1edfi hình v\u1ebd trên là: y = ax + b v\u1edbi a $\\ne$<\/span> 0.<\/p>Hình v\u1ebd trên bi\u1ec3u di\u1ec5n \u0111\u01b0\u1eddng th\u1eb3ng \u0111i qua hai \u0111i\u1ec3m $(1;0)$<\/span> và $(0;2)$<\/span>.<\/p>Do \u0111ó $(1;0)$<\/span> và $(0;2)$<\/span> là nghi\u1ec7m c\u1ee7a ph\u01b0\u01a1ng trình y = ax + b.<\/p>Ta có h\u1ec7 ph\u01b0\u01a1ng trình: $\\begin{cases}a+b=0\\\\a.0+b=2\\end{cases}$<\/span> hay $\\begin{cases}a=-2\\\\b=2\\end{cases}$<\/span>.<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"127","test":"0","date":"2024-10-02 02:33:48","option_type":"txt","len":2}]}