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初一数学精选题库[51]{难度3}［函数累加相消/等差数列］
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![初一数学精选题库[46]{难度3}［四元一次联立方程式］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/5204437e0f6c4cbda8dbdaca4fc43703~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=9Y8VK%2Bk1Lj1FmhxFJHoKS%2FjukQ0%3D)
App09:00![初一数学精选题库[51]{难度3}［函数累加相消/等差数列］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/b15c1f0f154f495db558291efacf7e79~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=nTHZPAZZQsVfs8w7t5mYZm6eaD8%3D)
App09:16![初一数学精选题库[52]{难度3}［混和溶液重量百分浓度计算］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/2acbd14e1f40481abf8915fc86941e6c~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=reTEBWa6sE4vM0xkjYoEjb1p%2B5M%3D)
App08:46![初一数学精选题库[54]{难度3}［18的倍数判断法］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/cf1ea8b44be84e81baab1e5657dbe916~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=ApOkSCa6dgA%2FiyD5QF4EISOolaA%3D)
App06:13![初一数学精选题库[59]{难度1}［最小公倍数原理］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/30fca7c4c16f4b2fa06a1d10662b5a4e~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=83K1LEwOHGAiEFNqoqKjc3%2FVzYY%3D)
App03:02![初一数学精选题库[62]{难度3}［最大公因数最小公倍数因式分解］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/645b5cd366a14282a7120388f9d1187b~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=iXBV75GT9oS4QcqxwYyxPvop4a4%3D)
App02:55![初一数学精选题库[60]{难度1}［数线上根据距离求位置］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/9cce65700aec448b9195c1d0f2d8081d~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=oLcXrT8t9AafV7wzWL1xIERBdTc%3D)
App03:24![初一数学精选题库[65]{难度3}［四位数完全平方数推导］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/316fa9e14ede448c889da3f4a1405c3a~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=ZtVo4tySu%2Ff6xbX0CSBc56d%2FBT8%3D)
App02:37![初一数学精选题库[71]{难度2}［长指数数列配对化简］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/97dae3eb75fe4dcfb23d2cd60d31740c~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=b2uAOaQ%2FvQvjStZKo3%2FGOVZzLys%3D)
App05:01![初一数学精选题库[70]{难度3}［用最小公倍数反推法］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/4299e20d71524d8488fa23d40804d246~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=K6SUDRtYxsvYkNGEMLRh7aqOmTU%3D)
App04:38![初一数学精选题库[24]{难度4}［数值颠倒组合加总运算］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/7f99eb0f1139406e944fe25e524dddbc~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=BynQj%2Fd1rue9JO0%2FgXVqeefzCUg%3D)
App04:58![初一数学精选题库[39]{难度4}［利用等差数列特性找出数字位置］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/f532a7f3c8ca40c299fd280a3a1086a7~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=pd2pieBHAS8DeNIin4Zh9qkjlvs%3D)
App08:41![初一数学精选题库[50]{难度4}［三角形面积组合求直线方程式］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/3df31b28a0ea473c974d746bfea931c4~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=0%2BVmCrQa4vb5gvLNWEpEZAdJHsQ%3D)
App17:56![初一数学精选题库[63]{难度4}［变形版等差数列］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/158c5a02df7b4be58e9dc4f6264f30f3~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=LhPDR3n%2Ff6ytI9wtjnhOZmmvbYg%3D)
App04:13![初一数学精选题库[69]{难度4}［长分数数列配对化简］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/cb83e3357bb14c549a201795290d8d96~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=PGVm8pNFbswzXEbT3OCVggVdKkA%3D)
App04:31![初二数学精选题库[4]{难度4}［角平分线连续作图］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/46e28e38bf6c4e2fb40c760152181241~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=i8R8tSea1qiH7kp%2BCmcgLv40slk%3D)
App05:31![初一數學精選題庫[13]{難度5}［兩人繞圈跑步速率相遇距離計算］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/ea2868f3f5154e7ebed13864e84c2f1f~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=gNnEXkHcgAdZqQll0NhFMtouIz4%3D)
App14:18![初一数学精选题库[25]{难度5}［等差数列区间总和型态分析］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/936861bc04194151a937a86536e51b65~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=0AKZWlFe7YVF6C84WU8p0VrQdIk%3D)
App09:13![初一数学精选题库[31]{难度5}［推导三个数的最大公因数］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/cfe47c0413ef476785e1d123b10cbded~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=1t19wBbaj1RXp9U2wGZaosvsvI8%3D)
App14:04![初一数学精选题库[53]{难度5}［分数数列化简相消运算］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/e9a19cf05067439dacdead0702849193~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=Q%2Bb%2BcebF9MxdoSmraN1Ge4ABNk8%3D)
App08:35![初一数学精选题库[61]{难度5}［超长数列转换成等差数列］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/d4d3deb38a794b88b850d4df91b98762~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=87TdgD6J15O5nDDNh0E5tAWkOiw%3D)
App03:57![初一数学精选题库[64]{难度5}［绝对值最小值的数线距离分析法］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/375cb3cc79b942e787251c4649d646fa~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=c5zIrAl2TIL9yi5xlQrtQihWnHY%3D)
App04:05![初一數學精選題庫[23]{難度6}［自動換幣機］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/f31b15b1ff144addbf7f217e6436895e~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=ZE5F3yil0Wq8z7D1V0Y7k%2B4fs5s%3D)
App11:22![初一数学精选题库[26]{难度6}［递减数列平均数］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/064b6ed4313d4005a51a5de694e11cdb~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=4wrE%2B6%2FOa0%2Bry0aQ3y0n7WXS5a0%3D)
App13:18![初一数学精选题库[27]{难度6}［两人竞走速率追逐时间问题］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/1c638e827dcd4726883693dc5cf2b5dc~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=10b1YxvWNTV68teE0wc9YNNTcJ8%3D)
App10:19![初一数学精选题库[41]{难度6}［各位数字和为7的位数分析方法］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/c583eac1863f44a5a8ca23ba0e543b7f~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=SiyGZ8bbLhVtuLqniPXOw9cjzy0%3D)
App12:46![初一数学精选题库[42]{难度6}［多位数为11的倍数判断法］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/26eabe9da6d54029803736b00728d1f6~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=M3Et2KlVRrQrIIfl3NwqCEPq6GQ%3D)
App10:26![初一数学精选题库[45]{难度6}［机车和车轮数目分析］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/84e4aca6b20f4be7b6c2b8390a122a14~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=7btTwll0GW4OVSXgATBfJ1rOe38%3D)
App14:34![初一数学精选题库[49]{难度6}［六位数字左右互换］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/87bc483e20ed4b92b11d2ee4c2c75884~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=nn35IaLDkTc2r40KyFmslmt7knw%3D)
App05:26![初一数学精选题库[57]{难度6}［四位数字颠倒运算］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/3d35fb5b39cd47bb9bad7f50a0d309fc~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=GYxJsGy8KXY5w9P6hyjTtDM1h%2BM%3D)
App06:06![初一数学精选题库[58]{难度6}［数列分拆相加］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/0ca20eceed384d41be6efd8b5dfd3d9a~tplv-pk90l89vgd-crop-center:576:324.jpeg?appId=3586&biz_tag=list_custom%2Fnone&channelId=0&customType=custom%2Fnone&from=704_middle_image&imageType=list&isImmersiveScene=0&is_ios=1&is_stream=0&lk3s=9d3f5bff&logId=20250225154302E0D3FE472F472F896523&requestFrom=704&version_code=80402&x-expires=1772005383&x-signature=HspB82FqCnVV1Cf24PBhiSOQXkc%3D)
App03:50
