2010·陕西·模拟预测
1 . 如图,三棱锥P-ABC中,PC
平面ABC,PC=AC=2, AB=BC,D是PB上一点,且CD
平面PAB
![](https://img.xkw.com/dksih/QBM/2013/5/27/1571230160248832/1571230165958656/STEM/dc7b61d1-91dd-4817-a704-55c0ecf52486.png)
(1)求证:AB
平面PCB;
(2)求异面直线AP与BC所成角的大小;
(3)求二面角C-PA-B 的大小的余弦值.
![](https://img.xkw.com/dksih/QBM/2013/3/25/1571162454581248/1571162460323840/STEM/762ba727dd8243afb13351e7e3971b72.png)
![](https://img.xkw.com/dksih/QBM/2013/3/25/1571162454581248/1571162460323840/STEM/762ba727dd8243afb13351e7e3971b72.png)
![](https://img.xkw.com/dksih/QBM/2013/5/27/1571230160248832/1571230165958656/STEM/dc7b61d1-91dd-4817-a704-55c0ecf52486.png)
(1)求证:AB
![](https://img.xkw.com/dksih/QBM/2013/3/25/1571162454581248/1571162460323840/STEM/762ba727dd8243afb13351e7e3971b72.png)
(2)求异面直线AP与BC所成角的大小;
(3)求二面角C-PA-B 的大小的余弦值.
您最近一年使用:0次
2013·辽宁沈阳·一模
2 . 已知
的二面角
,点A
,
,C为垂足,
,BD
,D为垂足,若AC=BD=DC=1则AB与
面所成角的正弦值为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9bf2423499d45354dbc8377f1f04e16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754bbd99327195520a4ca3ce3b9a0577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2c3f63b766d0373b7f1df007d03f3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c638fb895acd987140d0ca6bef097499.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16acea101c98a280a70c2fa0b2c04dd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a05bb4210bfcc2d44d7db89837a1149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
您最近一年使用:0次
2013·辽宁沈阳·一模
3 .
,若对任意
,
恒成立,则a的取值范围是________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8405a6fc7a17f8419d5dfe85a9e30582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9bcc3e66496eee2d8476f2362925380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64831d66b64c0125dbc386ffc7744fb.png)
您最近一年使用:0次
2013·辽宁沈阳·一模
4 . 函数f(x)=
在
上是单调函数的必要不充分条件是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d2d13fbf4a5940f09baa69efa23c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ce8d5ba37479b30f40e2ffc4b5e1f1.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2013·辽宁沈阳·一模
解题方法
5 . 由
的图像向左平移
个单位,再把所得图像上所有点的横坐标伸长到原来的2倍得到
的图像,则
为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a9a4d3f7a622bf4c8c887c5709c9de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
A.2sin![]() | B.2sin![]() |
C.2sin![]() | D.2sin![]() |
您最近一年使用:0次
2013·辽宁沈阳·一模
6 . 已知实数a,b满足
,则函数f(x)=
的两个极值点都在(0,1)内的概率为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b04c1dca016e73b9793e1cff1cb14f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470fd6e3840690ce6af9a9d9b109ee83.png)
您最近一年使用:0次
2013·辽宁沈阳·一模
解题方法
7 . 若定义在
上的函数
满足
,且
<0,
,
,
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c9014497737221cc29e27bd430ba03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db0b7ef5cc2cdaebd3843bacbc4ab34d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2a0e17ac59583b5213e3a58232210d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d68acf7ade8aed6ff772cb99269457f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09859f2704c6aae5fd178224882bbd8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2013·辽宁沈阳·一模
8 . 已知平面
截一球面得圆M,过圆心M且与
成
角的平面
截该球面得圆N若圆M、圆N面积分别为4
、13
,则球面面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d1a34ae2b8c77f8d7e355c6d1d667e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdab625e32e38d1c72c901cece0e147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c62c14a017007a6bdfe25eada9c433.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d5adfe85535b699655d5ed2f3322d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d5adfe85535b699655d5ed2f3322d8.png)
A.36![]() | B.48![]() | C.64![]() | D.100![]() |
您最近一年使用:0次