Ôn tập diện tích, chu vi một số hình phẳng

Home Lớp 5 Toán lớp 5 - Sách Kết nối tri thức Bài 33. Ôn tập diện tích, chu vi một số hình phẳngBài tập nâng cao

{"common":{"save":0,"post_id":"7729","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"2017","post_id":"7729","mon_id":"1159414","chapter_id":"1159461","question":"M\u1ed9t ru\u1ed9ng lúa hình thang có \u0111áy l\u1edbn 180 m, \u0111áy bé b\u1eb1ng $\\dfrac{3}{5}$<\/span> \u0111áy l\u1edbn, chi\u1ec1u cao b\u1eb1ng trung bình c\u1ed9ng \u0111\u1ed9 dài hai \u0111áy. Bi\u1ebft trung bình c\u1ee9 100 m² thì thu \u0111\u01b0\u1ee3c 65 kg thóc. Trên c\u1ea3 th\u1eeda ru\u1ed9ng, ng\u01b0\u1eddi nông dân thu ho\u1ea1ch \u0111\u01b0\u1ee3c:<\/p>","options":["A.<\/strong> 13478,4 kg","B.<\/strong> 13468,4 kg","C.<\/strong> 13458,4 kg","D.<\/strong> 13448,4 kg"],"correct":"1","level":"3","hint":"","answer":"Ch\u1ecdn A.<\/strong> 13478,4 kg.<\/span><\/p>\u0110\u1ed9 dài \u0111áy bé c\u1ee7a ru\u1ed9ng lúa \u0111ó là: $180\\times\\dfrac{3}{5}=108$<\/span> (m).<\/p>Chi\u1ec1u cao c\u1ee7a ru\u1ed9ng lúa \u0111ó là: $\\dfrac{180+108}{2}=144$<\/span> (m).<\/p>Di\u1ec7n tích th\u1eeda ru\u1ed9ng \u0111ó là: $\\dfrac{(108+180)\\times144}{2}=20736$<\/span> (m²).<\/p>20736 g\u1ea5p 100 s\u1ed1 l\u1ea7n là: 20736 : 100 = 207,36 (l\u1ea7n).<\/p>Ng\u01b0\u1eddi nông dân thu ho\u1ea1ch \u0111\u01b0\u1ee3c s\u1ed1 kg thóc trên th\u1eeda ru\u1ed9ng \u0111ó là: 207,36 x 65 = 13478,4 (kg).<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2024-09-26 02:53:15","option_type":"txt","len":1},{"id":"2022","post_id":"7729","mon_id":"1159414","chapter_id":"1159461","question":"M\u1ed9t m\u1ea3nh \u0111\u1ea5t \u0111\u01b0\u1ee3c v\u1ebd trên b\u1ea3n \u0111\u1ed3 t\u1ec9 l\u1ec7 1 : 1000 v\u1edbi kích th\u01b0\u1edbc nh\u01b0 hình v\u1ebd. V\u1eady di\u1ec7n tích m\u1ea3nh \u0111\u1ea5t \u0111ó trong th\u1ef1c t\u1ebf là:<\/p><svg height=\"200\" width=\"300\"> <g><title><\/title><rect fill=\"#d4ffaa\" height=\"202\" id=\"canvas_background\" width=\"302\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_3\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><rect fill=\"#ff7f00\" height=\"77\" id=\"svg_1\" stroke=\"#ff7f00\" stroke-width=\"1.5\" width=\"193\" x=\"11\" y=\"80.25\"><\/rect> <rect fill=\"#ff7f00\" height=\"50\" id=\"svg_2\" stroke=\"#ff7f00\" stroke-width=\"1.5\" width=\"65\" x=\"139\" y=\"30.25\"><\/rect> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_4\" stroke=\"#ff7f00\" stroke-width=\"0\" text-anchor=\"start\" x=\"135\" xml:space=\"preserve\" y=\"22.25\">1,8 cm<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_5\" stroke=\"#ff7f00\" stroke-width=\"0\" text-anchor=\"start\" x=\"222\" xml:space=\"preserve\" y=\"98.25\">4,5 cm<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_6\" stroke=\"#ff7f00\" stroke-width=\"0\" text-anchor=\"start\" x=\"72\" xml:space=\"preserve\" y=\"185.25\">5,4 cm<\/text> <line fill=\"none\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"217\" x2=\"217\" y1=\"31.25\" y2=\"153.25\"><\/line> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(90 217.0078125,150.75000000000003) \" x=\"210\" xml:space=\"preserve\" y=\"159.25\">><\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(-90 216.00781250000003,35.74999999999999) \" x=\"209\" xml:space=\"preserve\" y=\"44.25\">><\/text> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> 1682 m²","B.<\/strong> 1684 m²","C.<\/strong> 1784 m²","D.<\/strong> 1782 m²"],"correct":"4","level":"3","hint":"","answer":"Ch\u1ecdn D.<\/strong> 1782 m².<\/span><\/p><svg height=\"200\" width=\"300\"> <g><title><\/title><rect fill=\"#d4ffaa\" height=\"202\" id=\"canvas_background\" width=\"302\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_3\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><rect fill=\"#ff7f00\" height=\"77\" id=\"svg_1\" stroke=\"#ff7f00\" stroke-width=\"1.5\" width=\"193\" x=\"11\" y=\"80.25\"><\/rect> <rect fill=\"#ff7f00\" height=\"50\" id=\"svg_2\" stroke=\"#ff7f00\" stroke-width=\"1.5\" width=\"65\" x=\"139\" y=\"30.25\"><\/rect> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_4\" stroke=\"#ff7f00\" stroke-width=\"0\" text-anchor=\"start\" x=\"135\" xml:space=\"preserve\" y=\"22.25\">1,8 cm<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_5\" stroke=\"#ff7f00\" stroke-width=\"0\" text-anchor=\"start\" x=\"222\" xml:space=\"preserve\" y=\"98.25\">4,5 cm<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_6\" stroke=\"#ff7f00\" stroke-width=\"0\" text-anchor=\"start\" x=\"72\" xml:space=\"preserve\" y=\"185.25\">5,4 cm<\/text> <line fill=\"none\" id=\"svg_7\" stroke=\"#000\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"217\" x2=\"217\" y1=\"31.25\" y2=\"153.25\"><\/line> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_8\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(90 217.0078125,150.75000000000003) \" x=\"210\" xml:space=\"preserve\" y=\"159.25\">><\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_9\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" transform=\"rotate(-90 216.00781250000003,35.74999999999999) \" x=\"209\" xml:space=\"preserve\" y=\"44.25\">><\/text> <line fill=\"none\" id=\"svg_10\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"undefined\" stroke-linejoin=\"undefined\" stroke-width=\"1.5\" x1=\"137\" x2=\"204\" y1=\"80.25\" y2=\"80.25\"><\/line> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_11\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"160\" xml:space=\"preserve\" y=\"62.25\">(1)<\/text> <text fill=\"#000000\" font-family=\"Helvetica, Arial, sans-serif\" font-size=\"24\" id=\"svg_12\" stroke=\"#000\" stroke-width=\"0\" text-anchor=\"start\" x=\"89\" xml:space=\"preserve\" y=\"131.25\">(2)<\/text> <\/g> <\/svg><\/span><\/p>Chia hình v\u1ebd thành 2 m\u1ea3nh. M\u1ea3nh (1) là hình vuông có c\u1ea1nh 1,8 cm. M\u1ea3nh (2) là hình ch\u1eef nh\u1eadt có chi\u1ec1u dài là 5,4 cm và chi\u1ec1u r\u1ed9ng là 4,5 – 1,8 = 2,7 cm.<\/p>C\u1ea1nh c\u1ee7a m\u1ea3nh \u0111\u1ea5t (1) trên th\u1ef1c t\u1ebf là 1,8 x 1000 = 1800 cm = 18 m. Di\u1ec7n tích th\u1ef1c t\u1ebf c\u1ee7a m\u1ea3nh \u0111\u1ea5t (1) là: 18 x 18 = 324 (m²).<\/p>Chi\u1ec1u dài th\u1ef1c t\u1ebf c\u1ee7a m\u1ea3nh \u0111\u1ea5t (2) là 5,4 x 1000 = 5400 cm = 54 m. Chi\u1ec1u r\u1ed9ng th\u1ef1c t\u1ebf c\u1ee7a m\u1ea3nh \u0111\u1ea5t (2) là 2,7 x 1000 = 2700 cm = 27 m. Di\u1ec7n tích th\u1ef1c t\u1ebf c\u1ee7a m\u1ea3nh \u0111\u1ea5t (2) là: 54 x 27 = 1458 (m²). Di\u1ec7n tích th\u1ef1c t\u1ebf c\u1ee7a m\u1ea3nh \u0111\u1ea5t ban \u0111\u1ea7u là: 324 + 1458 = 1782 (m²).<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2024-09-26 03:09:27","option_type":"txt","len":1},{"id":"2026","post_id":"7729","mon_id":"1159414","chapter_id":"1159461","question":"M\u1ed9t hình thang có di\u1ec7n tích là 852 m², \u0111\u1ed9 dài \u0111áy l\u1edbn là 20 m. Ng\u01b0\u1eddi ta t\u0103ng \u0111áy l\u1edbn thêm 4 m thì \u0111\u01b0\u1ee3c hình thang m\u1edbi có di\u1ec7n tích b\u1eb1ng 972 m². Tìm \u0111\u1ed9 dài \u0111áy bé c\u1ee7a hình thang lúc \u0111\u1ea7u.<\/p><svg height=\"260\" width=\"300\"> <g><title><\/title><rect fill=\"none\" height=\"262\" id=\"canvas_background\" width=\"302\" x=\"-1\" y=\"-1\"><\/rect> <g display=\"none\" id=\"canvasGrid\"> <rect fill=\"url(#gridpattern)\" height=\"100%\" id=\"svg_12\" stroke-width=\"0\" width=\"100%\" x=\"0\" y=\"0\"><\/rect> <\/g> <\/g> <g><title><\/title><path d=\"m38.70999,46.82245l166,-38.79999l0,193.99999l-166,0l0,-155.2z\" fill=\"#ffaaaa\" id=\"svg_1\" stroke=\"#000\" stroke-width=\"1.5\" transform=\"rotate(90 121.70999145507812,105.02244567871095) \"><\/path> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_2\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"218\" x2=\"292\" y1=\"188.25\" y2=\"188\"><\/line> <line fill=\"none\" fill-opacity=\"null\" id=\"svg_3\" stroke=\"#000\" stroke-dasharray=\"5,5\" stroke-linecap=\"null\" stroke-linejoin=\"null\" stroke-opacity=\"null\" stroke-width=\"1.5\" x1=\"180\" x2=\"290\" y1=\"21.25\" y2=\"188.25\"><\/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\" x1=\"23\" x2=\"220\" y1=\"215.25\" y2=\"215.25\"><\/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\" text-anchor=\"start\" x=\"20\" xml:space=\"preserve\" y=\"223.25\"><<\/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\" text-anchor=\"start\" x=\"209\" xml:space=\"preserve\" y=\"223.25\">><\/text> <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=\"79\" xml:space=\"preserve\" y=\"243.25\">20 m<\/text> <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=\"219\" x2=\"290\" y1=\"207.25\" y2=\"208\"><\/line> <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=\"280\" xml:space=\"preserve\" y=\"216.25\">><\/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=\"218\" xml:space=\"preserve\" y=\"215.25\"><<\/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=\"238\" xml:space=\"preserve\" y=\"229.25\">4 m<\/text> <\/g> <\/svg><\/span><\/p>","options":["A.<\/strong> 8,2 m","B.<\/strong> 8,4 m","C.<\/strong> 9,4 m","D.<\/strong> 9,2 m"],"correct":"2","level":"3","hint":"","answer":"Ch\u1ecdn B.<\/strong> 8,4 m.<\/span><\/p>Sau khi m\u1edf r\u1ed9ng, di\u1ec7n tích t\u0103ng thêm là: 972 – 852 = 120 (m²). Di\u1ec7n tích t\u0103ng thêm chính là di\u1ec7n tích hình tam giác có \u0111\u1ed9 dài \u0111áy là 4 m và chi\u1ec1u cao b\u1eb1ng chi\u1ec1u cao c\u1ee7a hình thang ban \u0111\u1ea7u. Chi\u1ec1u cao c\u1ee7a mi\u1ebfng \u0111\u1ea5t hình thang là: $\\dfrac{120\\times2}{4}=60$<\/span> (m).<\/p>T\u1ed5ng \u0111\u1ed9 dài hai \u0111áy c\u1ee7a hình thang là ban \u0111\u1ea7u là: $\\dfrac{852\\times2}{60}=28,4$<\/span> (m).<\/p>\u0110\u1ed9 dài \u0111áy bé c\u1ee7a hình thang ban \u0111\u1ea7u là: 28,4 – 20 = 8,4 (m).<\/p>","type":"choose","extra_type":"classic","time":"0","user_id":"131","test":"0","date":"2024-09-26 03:23:13","option_type":"txt","len":0}]}