名校
1 . 平面直角坐标系中
,设点
是线段
的
等分点,其中
.
时,试用
表示
;
(2)当
时,求
的值;
(3)当
时,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad9b1214d433916287b8ed6d5c5cc68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551a5b7ec8676b31206d52167a330459.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f4bf5f3d135b97517e3b68f2cca3eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be604061cf1591f7069472269d4c9719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc2294ee512fa1ee5f14ad65a24a499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9bd1d4a42038c413b1d2ba2539d1241.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3805398b3ea0a1d2e5249877e2a2ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672e3ac95a04fe02415c875df425eed4.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe08722cf9300fe188dbbb71989c06c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/971c86b222ab857f0729edf1bb4793d5.png)
您最近一年使用:0次
名校
2 . 已知函数
.
(1)若
,求函数
的图像在
处的切线方程;
(2)若
,求函数
的单调区间;
(3)若
,已知函数
有两个相异零点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b27832713a40918063d9a3cb2b2fab4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48adb8a59b5c02fad5eada1b35171cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86304c3e26200299a0480641525a283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4900c67f4b57fa430c4bd863f8e896.png)
您最近一年使用:0次
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解题方法
3 . 对于数列
:
,定义“
变换”:
将数列
变换成数列
:
,其中
,且
.这种“
变换”记作
,继续对数列
进行“
变换”,得到数列
:
,依此类推,当得到的数列各项均为0时变换结束.
(1)写出数列
:2,6,4经过5次“
变换”后得到的数列;
(2)若
不全相等,判断数列
:
经过不断的“
变换”是否会结束,并说明理由;
(3)设数列
:400,2,403经过
次“
变换”得到的数列各项之和最小,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbb2d03b48127b248764cf2ca70bc495.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b6f99a33b14f53fb398a195aa2ec3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f44d6e929223f8bdef1c028f82301e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e374762fa02d95091036d3d4df4e590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8476cfa7b44c4eaa1e9d889b608c59d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/312893147a40a4cd5d46fc2ad309c488.png)
(1)写出数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c14d9ae06f864498048d55088ff4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c14d9ae06f864498048d55088ff4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(3)设数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
4 . 已知复数
,设复数
分别对应复平面上的点
.定义复数
.
(1)若
,求
;
(2)当点
在线段
上运动时,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb87ded8e34449c0edf12bdd7a6fe49a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2da6d7e738173d529a3a65aa490b318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4bf60d5d2f46823cfdc190a18e534c2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2abac63589c1b1aa2667a36ad94e0120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595044a7750ab4f84519041979c3d780.png)
(2)当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a3964a10b8643c1269fc8afef75c5a.png)
您最近一年使用:0次
2022-11-30更新
|
937次组卷
|
7卷引用:上海市控江中学2021-2022学年高一下学期期末数学试题
上海市控江中学2021-2022学年高一下学期期末数学试题(已下线)9.1 复数及其四则运算-同步精品课堂(沪教版2020必修第二册)(已下线)7.2 复数的四则运算2-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)第七章 复数(基础、典型、易错、压轴)分类专项训练(2)(已下线)专题03 与复数有关的压轴题-【常考压轴题】(已下线)专题11+复数的四则运算(2)-《重难点题型·高分突破》(人教A版2019必修第二册)(已下线)专题03 复数-《期末真题分类汇编》(人教A版2019必修第二册)
名校
5 . 已知
、
为圆
上的两点,且
,设
为弦
的中点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5240a75b910e7d57c991cd574ee896e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f06905b77fe8f327f962d836b7b58278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437edcde49584047bc62da84f1a38ec5.png)
您最近一年使用:0次
2022-11-30更新
|
633次组卷
|
2卷引用:上海市奉贤中学2021-2022学年高二下学期期末数学试题
6 . 已知椭圆
的离心率为
、
分别为椭圆
的左、右焦点,
为椭圆
上一点,
的周长为
.
(1)求椭圆
的方程;
(2)若
,求
的面积;
(3)设
为圆
上任意一点,过
作椭圆
的两条切线,切点分别为
,判断
是否为定值?若是,求出定值;若不是,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbbb3c9475e24d03db0dedfc7808357f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42fc33bcfc63ec2f4940ccd3f862400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb8fb6f3d7540831a9e97d3b184a491.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74404619ad5699e6c44c947fb569600f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42fc33bcfc63ec2f4940ccd3f862400.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d35465f3e40ce00a1dce54b943ae183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
您最近一年使用:0次
2022-11-29更新
|
689次组卷
|
4卷引用:上海市松江区2021-2022学年高二下学期期末数学试题
7 . 已知椭圆
上有两点
及
,直线
与椭圆交于
、
两点,与线段
交于点
(异于
、
).
(1)当
且
时,求直线
的方程;
(2)当
时,求四边形
面积的最大值;
(3)记直线
、
、
、
的斜率依次为
、
、
、
. 当
且线段
的中点
在直线
上时,计算
的值,并证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9522249e95caabebf10f4eeed2432c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f40d5459e1385ab7d829ea96ca0b946.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63297c48d9a2dfecb249f101b571e0a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f24e616b5a35ff372c78c1472f156ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367e788c32187ae2cc97aaa24da1d40d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10ae67c630e655db300adec9ea367a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7571e2f20e482a852a5d4639480f6a5.png)
(3)记直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf25e032b5599ac49383de06e776365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf702adb116c1e46569eb7050d029f49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf434334b09cc0fdd4e86e84e6ceb00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3307e11f7e6896e32aa510bbed949ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d8d5cea065075fe50706abe3ae802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b881044b5c73db6fcce110525741b02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b98e5f03e2e6d8e82c652520447dee93.png)
您最近一年使用:0次
解题方法
8 . 已知函数
.
(1)当
时,求方程
的实数解;
(2)若对任意
,
恒成立,求实数
的取值范围;
(3)若存在两个不相等的正实数
,
,满足
,试比较
、2、
这三个数的大小关系,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69141912718ee2eb9e3b5b20076a2f2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0097b2a40fd339906bb03607246d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若存在两个不相等的正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859458471c86ae39e0cc42d2d960d03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/878e89b6eca35e34c863e832a2c661db.png)
您最近一年使用:0次
9 . 已知函数
.
(1)若函数
的图象在点
处的切线方程为
,求实数
的值;
(2)根据
的取值,讨论函数
的单调性;
(3)讨论函数
在区间
上的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/533eb269615a7b1aa6aa065e3604d77f.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c6b6a11760d0724b0b60e55970e229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)根据
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
您最近一年使用:0次
2022-11-28更新
|
474次组卷
|
4卷引用:上海市崇明区2021-2022学年高二下学期期末数学试题
上海市崇明区2021-2022学年高二下学期期末数学试题上海市上海师范大学附属宝山罗店中学2022-2023学年高二下学期期中数学试题(已下线)第五章 导数及其应用 (压轴题专练)-2023-2024学年高二数学单元速记·巧练(沪教版2020选择性必修第二册)(已下线)广东省深圳市高级中学(集团)2023届高三上学期期末数学试题变式题17-22
名校
解题方法
10 . 已知等差数列
公差为
,前n项和为
.
(1)若
,
,求
的通项公式;
(2)若
,
、
、
成等比数列,且存在正整数p、
,使得
与
均为整数,求
的值;
(3)若
,证明对任意的等差数列
,不等式
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90bfe21c96489cb30c544d49ddb4c1c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe7bdaaf8b0adf10bf2ef6c1255b1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1dfe5b322577f02fd19caab8cf20170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca7e7b23fd74e3cf89ac541cb7a5d88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd11b72e7bbee52ec744dbd16e89c766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36662538d838cca2dd082564d6fc6936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8f6ee1bd20c1b7b4309163e39cc78f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2baa149e5adae5c5085a875a5cd106d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/362bfce584209628bc4ad3f23e3d7b11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b27971d12f58af42ad7b226b40545b5.png)
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2022-11-26更新
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6卷引用:上海市曹杨第二中学2022-2023学年高二上学期期中数学试题
上海市曹杨第二中学2022-2023学年高二上学期期中数学试题(已下线)高二下期中真题精选(压轴40题专练)-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)上海市华东政法大学附属松江高级中学2023-2024学年高二上学期期中考试数学试卷(已下线)期中真题必刷压轴50题专练-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(沪教版2020必修第三册)(已下线)专题7 等比数列的性质 微点1 等比数列项的性质(已下线)专题4.3 等比数列(5个考点八大题型)(2)