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初一数学精选题库[63]{难度4}［变形版等差数列］
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![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://p3-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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=NsGsLH6rr1qUtyF2YU2T2eIz9tE%3D)
App17:56![初一数学精选题库[63]{难度4}［变形版等差数列］](http://p3-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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=4E3hCV7582RpN3GRK8%2Fn%2BROfrRs%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://p26-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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=%2B6jskIszUH75H4Gry0CCaVcu7E8%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=bz%2FILBlHSBUtN8olVRTHO3Vv9hI%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=pg0j%2BbPVzRGgNNDfD9QfpoMPwzI%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://p26-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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=Nvt0XsYWyFtvPy5L5qgicfB6iig%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=2PZdV6IulYt45HoSFUjaSTPzCgY%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=WG2rtr3dlPDMrOLmo8JApv6SgbU%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=claqn9UCpyCLouiVZJehpPuIgkk%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=EcP7ZEBAdqxc05yizwArJY0J7CQ%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=NWzIjtV%2FSlTkDSsIzqpEKyHEBOs%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=DIQ94ILUQIn28moRp9Pg53PIS8c%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=M5J%2FbosfjVnmiCvC7iT4sI2VePE%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=GQAjDLw6OjAOxK%2FmeC61Z4jfKHI%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=oeuX9KLbeMQxkWv7WwfXSIiWJVY%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=gCndABexWONpGaW5Xit9ZKX%2Boo0%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=A07ZR9kKFL%2BZInR70Wt8tHYG4sI%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=gY0HE6CkG3%2BGDuia5pMO%2B6f0KAk%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=WZ4mNjbpGZkl7cJXOfMk4%2B41GG0%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=L4kt9I%2F8k50PdRU0ZecocPnItCI%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=82pBAFu%2FHD3nBNYYMkbc%2BObPQEM%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://p3-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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=5boaTIDT8yQkhTrAU5TmIs07btA%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=oG6yUjqZ%2BSRLrpZxvRgqMPKJEeA%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=aRwGuJekAOpWy9agQ0YtPo8CM2Q%3D)
App10:46![初一数学精选题库[47]{难度7}［天然神的质数数列］](http://p26-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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=P%2Bz3ChzaIfHXKotXk%2F2DbtN7uMg%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=fY167asytcRWIi5Z%2FaYfQ8%2FI0OI%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=AkvFbyipPyKjxUg9KUiqmqUY1I0%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=yNh5vJDvEmsD1NEkNFLRyyjEcTw%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://p26-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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=sSDcqRvNj2E4tdZB0%2FwsRBwy29k%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=P6gvBl%2FJ1%2Bk5DVcZEt9YRpgb3F4%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=2025022515420150814CCEF3A550B28648&requestFrom=704&version_code=80402&x-expires=1772005321&x-signature=AJjESNyAM99faXNhbF5K%2B%2BWLZTc%3D)
App14:27
