1 . 已知函数
.
(1)若
在
单调递增,求
的取值范围;
(2)任意
,
恒成立,求实数的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d3198dde48514003db70c100a98a5a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1d7bb2cfb72164f983d68ebc707b8b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26179da0922e0a144bfea44f4f5437cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/264e54b81230f39733dcc4f39cf31c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53bee9ba20ab2764f070eb2be503a0f6.png)
您最近一年使用:0次
解题方法
2 . 已知函数
有两个极值点
,则正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f0f718022e63fd071fd2cbf8ebf066f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
A.![]() ![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
3 . 下列函数中,在
上单调递增的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbb4726a619e54f0bc53e3e4d6c8976.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
4 . 抛物线
的焦点坐标是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b1183df9f26985febdc844cda75ed4c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
的图象如图所示,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0865e2e580a20b9272e2fc9c92ed53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d650b6e01e9ad28f60ba9cd009466b90.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . 在棱长为
的正方体
中,点
、
分别是棱
、
的中点,
是侧面
上的动点,且
平面
,则点
的轨迹长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34f1e3de58147e0739712bc64be9a1c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00d4825584cf2a3f381de72c179e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
7 . 已知函数
.
(1)若函数
在其定义域内有两个不同的零点,求实数
的取值范围;
(2)若
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7fd03e2a84a26f821d7c019945fefc5.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d41acc47493556617fe7b9e55093d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbe4e306e70a98dc5ec24e6e1dfcb392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd1204aa622a896c55d812d5d1a728d.png)
您最近一年使用:0次
解题方法
8 . 人教
版选择性必修第一册教材
页“拓广探索”中有这样的表述:在空间直角坐标系中,若平面
经过点
,且以
为法向量,设
是平面
内的任意一点.由
,可得
,此即平面的点法式方程.利用教材给出的材料,解决下面的问题:已知平面
的方程为
,直线
的方向向量为
,则直线
与平面
所成角的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8986c2dee094ffb5cae517312d314717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b2d11b1abb8af65d25c625f738a77f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f0576b411f01bdf6d127031053cce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ee1e5dd99c706d66bba49983060c3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8371946b64827b1d142c5c40431409f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7d4c53506838c5a337a45e54cd6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08cd0c4e77e08b66de9994c8b14efb21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a03d46d9ff1fa8418407107a11745e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 若
则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c92cdb1594134804bb0ee22c723604e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934ef6bd04727a99b37e6f94c767d782.png)
A.![]() | B.![]() | C.9 | D.63 |
您最近一年使用:0次
10 . 已知函数
的导函数存在两个零点,则a的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3ec7c85c4c0e24f4058c2a05d9ab51.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次