名校
解题方法
1 . 已知
,且
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0e9b3dcb25156d84ba8f8f02ae1771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e327ba789cbab8832344298ef9506781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
7日内更新
|
197次组卷
|
3卷引用:河南省濮阳市2024届高三第三次模拟考试数学试题
名校
解题方法
2 . 如图,在
中,角
所对的边分别为
,已知
,
的平分线
交边
于点
边上的高为
边上的高为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ada871ccdbd83b6ccbddbcd84521bc.png)
__________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7330af1eaa4fbb442ebc7b47be6b6d7a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0d44899ceb7b3137a82f2498c6d9b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78bea1b93dcf0514f157720793da1a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383d609af37a655a531e3e7441cd123e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa9e9cc8d1a0e6846523986552693cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d287c4df5c0cac5a4931edb43b01d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ada871ccdbd83b6ccbddbcd84521bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7330af1eaa4fbb442ebc7b47be6b6d7a.png)
您最近一年使用:0次
7日内更新
|
213次组卷
|
3卷引用:河南省濮阳市2024届高三第三次模拟考试数学试题
3 . 抛物线
的焦点坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba1762f7706a7fef3b2e346125c6f09.png)
您最近一年使用:0次
名校
4 . 已知向量
,
,
,若
三个向量共面,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b014d00c7730189d08d0af9ac76f465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c62db793887f54878fd020cd5d09811d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9acbd3d31d44fd6b76987baa09d9105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
您最近一年使用:0次
2024-06-05更新
|
137次组卷
|
2卷引用:河北省衡水市郑口中学2024届高三第三次质量检测数学试题
2024高三·全国·专题练习
解题方法
5 . 已知
是等差数列,
是其前
项和.若
,
,则
的值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d2e431e46d96891118d651f165aea4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f67e6f9f75fe5e80873eac20abc83b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
您最近一年使用:0次
2024高三·全国·专题练习
解题方法
6 . 记等差数列
的前
项和为
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58365ff21052f2f978c11844b002b933.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3aaa752e654842dfe0e705b9626b3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf14ebc775db2414a5a960badca8960.png)
您最近一年使用:0次
2024高三·全国·专题练习
7 . 已知数列
和
,其中
,
,
的项是互不相等的正整数,若对于任意
,
的第
项等于
的第
项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b48c1cad7bf0ab90e058e0508616346.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0dd3ce757a2ad080ece0e34424fb05f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca1d86c9f078347773f700fee49d1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cca1d86c9f078347773f700fee49d1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/686ece75006ad358f23314dc8a246e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b48c1cad7bf0ab90e058e0508616346.png)
您最近一年使用:0次
8 . 若向量
在向量
上的投影为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8492059b5f228ad882fc58f07e9c70.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/244db4140995042ce50fc3d645fd7216.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e38872aea18fd01ee30fc842c7492c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8492059b5f228ad882fc58f07e9c70.png)
您最近一年使用:0次
2024-04-20更新
|
809次组卷
|
3卷引用:辽宁省沈阳市第一二〇中学2023-2024学年高三第十次质量监测(最后一卷)数学试题
9 . 若是偶函数,则实数
您最近一年使用:0次
2024-03-28更新
|
474次组卷
|
2卷引用:陕西省部分学校2023-2024学年高中毕业班阶段性测试(七)文科数学试题
解题方法
10 . 已知数列
的前
项和
,若
是
的等差中项,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1b0f7322ab508cb63adaa5e4d57076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057fa70d70a8c12c315e8549e113e13c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4cbaee2f6743d0b47bbfe54359bd4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
您最近一年使用:0次
2024-03-27更新
|
364次组卷
|
2卷引用:河南省焦作市2024届高三第二次模拟考试数学试题