Ôn tập học kì 1- nâng cao

Home Lớp 10 Toán lớp 10 - Sách Kết nối tri thức ÔN TẬP HỌC KÌ 1Bài tập nâng cao

{"common":{"save":0,"post_id":"6707","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7306","mon_id":"1158767","chapter_id":"1158998","post_id":"6707","question":"L\u1edbp 10A có 45 h\u1ecdc sinh, trong \u0111ó có 15 h\u1ecdc sinh \u0111\u01b0\u1ee3c x\u1ebfp lo\u1ea1i h\u1ecdc l\u1ef1c gi\u1ecfi, 20 h\u1ecdc sinh \u0111\u01b0\u1ee3c x\u1ebfp lo\u1ea1i h\u1ea1nh ki\u1ec3m t\u1ed1t, 10 em v\u1eeba x\u1ebfp lo\u1ea1i h\u1ecdc l\u1ef1c gi\u1ecfi, v\u1eeba có h\u1ea1nh ki\u1ec3m t\u1ed1t. H\u1ecfi có bao nhiêu h\u1ecdc sinh x\u1ebfp lo\u1ea1i h\u1ecdc l\u1ef1c gi\u1ecfi ho\u1eb7c có h\u1ea1nh ki\u1ec3m t\u1ed1t?<\/p>","options":["A.<\/strong> 25","B.<\/strong> 10","C.<\/strong> 45","D.<\/strong> 35"],"correct":"1","level":"3","hint":"","answer":"G\u1ecdi A là t\u1eadp h\u1ee3p h\u1ecdc sinh l\u1edbp 10A; B là t\u1eadp h\u1ee3p h\u1ecdc sinh có h\u1ecdc l\u1ef1c gi\u1ecfi; C là t\u1eadp h\u1ee3p h\u1ecdc sinh có h\u1ea1nh ki\u1ec3m t\u1ed1t.<\/p>Khi \u0111ó t\u1eadp h\u1ee3p c\u1ea7n tìm là t\u1eadp B∪C. T\u1eadp này có 15 + 20 – 10 = 25 h\u1ecdc sinh.<\/p>\u0110\u01b0\u1ee3c th\u1ec3 hi\u1ec7n trong bi\u1ec3u \u0111\u1ed3 Ven nh\u01b0 sau:<\/p><svg height=\"190\" width=\"260\"> <g><title><\/title><rect fill=\"#fff\" height=\"192\" id=\"canvas_background\" width=\"262\" 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><ellipse cx=\"133.49999\" cy=\"105.57291\" fill=\"#ff0000\" id=\"svg_6\" opacity=\"0.76\" rx=\"75.5\" ry=\"59\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/ellipse> <ellipse cx=\"126.99999\" cy=\"95.07291\" fill=\"#fff\" id=\"svg_1\" rx=\"120.99999\" ry=\"90.5\" stroke=\"#000\" stroke-width=\"1.5\"><\/ellipse> <ellipse cx=\"158.99999\" cy=\"68.57291\" fill=\"#0fffff\" id=\"svg_3\" opacity=\"0.65\" rx=\"65\" ry=\"42\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/ellipse> <ellipse cx=\"158.99999\" cy=\"68.57291\" fill=\"#0fffff\" id=\"svg_5\" opacity=\"0.65\" rx=\"65\" ry=\"42\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/ellipse> <ellipse cx=\"133.49999\" cy=\"90.57291\" fill=\"#ff0000\" id=\"svg_4\" opacity=\"0.76\" rx=\"62.5\" ry=\"43\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/ellipse> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_7\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"27.99999\" xml:space=\"preserve\" y=\"72.57291\">A<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_8\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"199.99999\" xml:space=\"preserve\" y=\"67.57291\">C<\/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=\"169.99999\" xml:space=\"preserve\" y=\"47.57291\">10<\/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=\"126.99999\" xml:space=\"preserve\" y=\"82.57291\">10<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"84.99999\" xml:space=\"preserve\" y=\"115.57291\">B<\/text> <text fill=\"#000000\" fill-opacity=\"null\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"118.99999\" xml:space=\"preserve\" y=\"128.57291\">5<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"15\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"26.99999\" xml:space=\"preserve\" y=\"133.57291\">20<\/text> <\/g> <\/svg><\/span><\/p>Ch\u1ecdn  A.<\/strong> 25.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-09-21 02:18:55","option_type":"txt","len":0},{"id":"7309","mon_id":"1158767","chapter_id":"1158998","post_id":"6707","question":"Trong l\u1edbp h\u1ecdc có 45 h\u1ecdc sinh, trong \u0111ó có 25 h\u1ecdc sinh thích môn Toán, 20 h\u1ecdc sinh thích môn Anh, 18 h\u1ecdc sinh thích môn V\u0103n, 6 h\u1ecdc sinh không thích môn nào và 5 h\u1ecdc sinh thích c\u1ea3 ba môn. S\u1ed1 h\u1ecdc sinh thích ch\u1ec9 m\u1ed9t trong ba môn Toán, Anh, V\u0103n là<\/p>","options":["A.<\/strong> 27","B.<\/strong> 11","C.<\/strong> 20","D.<\/strong> 25"],"correct":"3","level":"3","hint":"","answer":"G\u1ecdi x là s\u1ed1 h\u1ecdc sinh thích \u0111úng m\u1ed9t môn, y là s\u1ed1 h\u1ecdc sinh ch\u1ec9 thích \u0111úng hai môn.<\/p>\u0110i\u1ec1u ki\u1ec7n: x, y ∈ N*.<\/p>Ta có h\u1ec7 ph\u01b0\u01a1ng trình<\/p>$\\begin{cases}6+x+y+5=45\\\\x+2y+3.5=18+20+25\\end{cases}$<\/span> ⇔ $\\begin{cases}x=20\\\\y=14\\end{cases}$<\/span><\/p>V\u1eady s\u1ed1 h\u1ecdc sinh thích \u0111úng m\u1ed9t môn là 20 h\u1ecdc sinh.<\/p>Ch\u1ecdn  C.<\/strong> 20.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-09-21 02:28:32","option_type":"txt","len":0},{"id":"7312","mon_id":"1158767","chapter_id":"1158998","post_id":"6707","question":"Có 100 c\u1eed tri tham gia b\u1ecf phi\u1ebfu cho 3 \u1ee9ng viên A, B, C và có k\u1ebft qu\u1ea3 nh\u01b0 sau: S\u1ed1 ng\u01b0\u1eddi có c\u1ea3m tình v\u1edbi \u1ee9ng c\u1eed viên A là 43; B là 21; C là 18; c\u1ea3 A và B là 9; c\u1ea3 B và C là 10; c\u1ea3 A và C là 5; c\u1ea3 3 ng\u01b0\u1eddi A, B, C là 3. S\u1ed1 c\u1eed tri ch\u1ec9 có c\u1ea3m tình v\u1edbi \u1ee9ng c\u1eed viên A là <\/p>","options":["A.<\/strong> 27","B.<\/strong> 40","C.<\/strong> 26","D.<\/strong> 32"],"correct":"4","level":"3","hint":"","answer":"<svg height=\"260\" width=\"360\"> <g><title><\/title><rect fill=\"#fff\" height=\"262\" id=\"canvas_background\" width=\"362\" 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_21\"> <g id=\"svg_10\"> <ellipse cx=\"224.49999\" cy=\"97.07291\" fill=\"#fff\" id=\"svg_1\" rx=\"111.5\" ry=\"89.5\" stroke=\"#000\" stroke-width=\"1.5\"><\/ellipse> <ellipse cx=\"224.49999\" cy=\"97.07291\" fill=\"#ff5656\" id=\"svg_2\" opacity=\"0.75\" rx=\"111.5\" ry=\"89.5\" stroke=\"#000\" stroke-width=\"1.5\"><\/ellipse> <ellipse cx=\"95.99999\" cy=\"145.57291\" fill=\"none\" id=\"svg_3\" rx=\"88\" ry=\"72\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/ellipse> <ellipse cx=\"95.99999\" cy=\"145.57291\" fill=\"#ffff00\" id=\"svg_5\" opacity=\"0.65\" rx=\"88\" ry=\"72\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/ellipse> <ellipse cx=\"167.49999\" cy=\"187.07291\" fill=\"none\" id=\"svg_6\" rx=\"84.5\" ry=\"67.5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/ellipse> <ellipse cx=\"167.49999\" cy=\"187.07291\" fill=\"#56ffaa\" id=\"svg_7\" opacity=\"0.5\" rx=\"84.5\" ry=\"67.5\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/ellipse> <ellipse cx=\"224.49999\" cy=\"97.07291\" fill=\"none\" id=\"svg_8\" opacity=\"0.75\" rx=\"111.5\" ry=\"89.5\" stroke=\"#000\" stroke-width=\"1.5\"><\/ellipse> <ellipse cx=\"95.99999\" cy=\"145.57291\" fill=\"none\" id=\"svg_9\" opacity=\"0.65\" rx=\"88\" ry=\"72\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"1.5\"><\/ellipse> <\/g> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_11\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"333.99999\" xml:space=\"preserve\" y=\"65.57291\">A<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_12\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"6.99999\" xml:space=\"preserve\" y=\"98.57291\">B<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_13\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"239.99999\" xml:space=\"preserve\" y=\"243.57291\">C<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_14\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"213.99999\" xml:space=\"preserve\" y=\"79.57291\">43<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_15\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"126.99999\" xml:space=\"preserve\" y=\"107.57291\">9<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_16\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"152.99999\" xml:space=\"preserve\" y=\"150.57291\">3<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_17\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"204.99999\" xml:space=\"preserve\" y=\"166.57291\">5<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_18\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"105.99999\" xml:space=\"preserve\" y=\"181.57291\">10<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_19\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"39.99999\" xml:space=\"preserve\" y=\"150.57291\">21<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"20\" id=\"svg_20\" stroke=\"#000\" stroke-opacity=\"null\" stroke-width=\"0\" text-anchor=\"start\" x=\"176.99999\" xml:space=\"preserve\" y=\"233.57291\">18<\/text> <\/g> <\/g> <\/svg><\/span><\/p>S\u1ed1 c\u1eed tri ch\u1ec9 thích A và B là  9 – 3 = 6 ng\u01b0\u1eddi.<\/p>S\u1ed1 c\u1eed tri ch\u1ec9 thích A và C là  5 – 3 = 2 ng\u01b0\u1eddi.<\/p>S\u1ed1 c\u1eed tri ch\u1ec9 thích A là  43 – 6 – 2 – 3 = 32 ng\u01b0\u1eddi.<\/p>Ch\u1ecdn  D.<\/strong> 32.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-09-21 02:43:17","option_type":"txt","len":0}]}