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初一数学精选题库[53]{难度5}［分数数列化简相消运算］
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![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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=NnELs4zNlqeIOqNUV6dj7y%2B7rx0%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://p3-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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=%2BSPLoP1Xwzow9InnGjOOkt8nKik%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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=GDHpzojKBXwIkajPD345f3%2FINWA%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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=wKITmKF8hZ6iZ%2FPO%2BhRx5UvcDvQ%3D)
App04:05![初一數學精選題庫[23]{難度6}［自動換幣機］](http://p3-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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=pzOaB6mG%2FZwEteucrdGJuoRdZyc%3D)
App11:22![初一数学精选题库[26]{难度6}［递减数列平均数］](http://p3-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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=hZTea2BVoGXC8weLQGQfNh7XZ8E%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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=aTjWaqWqF7SreK%2B1N1Zn6fa%2Fo%2FI%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://p26-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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=2Pc9ss7MRaCqgV5phRvOSNAe%2BWc%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://p26-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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=EI5ojw6px08HHSlNIyF3ngl28uw%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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=d8n5JAaER5RG%2FoNJgXTsn2pNl00%3D)
App14:34![初一数学精选题库[49]{难度6}［六位数字左右互换］](http://p3-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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=2ox3PfkvU%2BO9HcMauw6BEREpeNs%3D)
App05:26![初一数学精选题库[57]{难度6}［四位数字颠倒运算］](http://p26-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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=qce56Do3d4SGfRWlMS0eqmH0rTg%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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=ChX8PWCHmkDFpOfOIcJ7WvLyiLM%3D)
App03:50![初一数学精选题库[68]{难度6}［五位数排列组合问题］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/5fef2cb42b5c432582957b4d6fed1ad3~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=bAy4xxmQJW0RSnd0ENCeKOIGvJs%3D)
App03:07![初一數學精選題庫[21]{難度7}［數列排列組合選擇技巧］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/205543be06e24faeb924dfd0056ba093~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=zkJOdRe97zlZGjoC59TH10UwPFw%3D)
App07:33![初一数学精选题库[28]{难度7}［超长位数分段倍数推导问题］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/801ab25477de4cc799ca7904401f5533~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=1vSOYBX7MAsgdPX8b4EXkUaeqas%3D)
App10:12![初一数学精选题库[43]{难度7}［9字数列求四位数和的最大最小值］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/c78cac4fa48449bbab1465fd36464f95~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=2i8Vfht5zz3%2F%2B9YCz%2BKsmHoaALM%3D)
App21:10![初一数学精选题库[44]{难度7}［圣诞卡片装错的可能状况分析］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/53671999554b4484be1f91a09106afbc~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=BSCfF1EkAVesbHPkD5QwwLy8V%2B8%3D)
App10:46![初一数学精选题库[47]{难度7}［天然神的质数数列］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/c002f58c43024e84b6c5123cd1c678c9~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=bzy8qIh1SXnJkLDBdwJqjfqVsAs%3D)
App13:50![初一数学精选题库[55]{难度7}［整数数列拆解相消运算技巧］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/76a5cfc7f373435e945acc4fb0216930~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=fJf8O96JCIsO3ebmPsId%2Bt5jqWQ%3D)
App10:03![初一数学精选题库[67]{难度7}［两人合作两项工作］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/4cee2c39409d4bac95f4b45d26bf06c5~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=wrHW23%2B%2BsiqCysTOv0e6vhNjh%2Bk%3D)
App03:43![初一數學精選題庫[16]{難度8}［分數數列拆解相消運算技巧］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/35c43e4b79be425f9230f3d8fbad8ed1~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=WwqpKE5rdc5lalPl0hmqS1Hgpl4%3D)
App05:16![初一數學精選題庫[20]{難度8}［三位數位置變換直式運算技巧］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/f9cf8725dbfd4d4b8dd34150f010e7cf~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=IPFftJmfuX8jAncn7NxtuwdYFXo%3D)
App10:08![初一数学精选题库[56]{难度8}［完全平方式求解］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/52379e123ec041c3b4b67e5b6805f378~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=SK7JRePasOps%2Ftto6ZQ60A6K8nE%3D)
App15:17![初一數學精選題庫[18]{難度9}［平方數列用平方差公式］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/93e19fd761f04283becfd8eb495569d7~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=zneX8ksyXir3E%2FV7%2BdAWZBQLcYk%3D)
App14:27![初一数学精选题库[29]{难度9}［完全平方多项式因式分解］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/936a8b2e747a409586ddfc9886675275~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=WE7wbatQZSOxTKN0FDiS5o%2FQI6A%3D)
App15:57![初一数学精选题库[30]{难度9}［数列经过复杂运算后的特征］](http://p26-sign.bdxiguaimg.com/tos-cn-i-0004/240e9a883fa94ebf950f511372124a8f~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=KeTelM3BPsrMUIBai%2F1mUlMwVck%3D)
App20:26![初一数学精选题库[66]{难度9}［质数与因数判断］](http://p3-sign.bdxiguaimg.com/tos-cn-i-0004/dff069ff795f47f6a4cde5348c394dfa~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=202501210230170AE48109E19EE9BFA0F1&requestFrom=704&version_code=80402&x-expires=1768933818&x-signature=9TkxJrt%2BzqSmkOe8Dfg658SCM2s%3D)
App06:34打开App观看
