解题方法
1 . 已知函数
是偶函数.
(1)求
的值;
(2)若
,求
的取值范围;
(3)设函数
,其中
.若函数
与
的图象有且只有一个交点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb165f6f9fe5908cb2ac7e9f988c8f92.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13319759ccc41989d123904c7c47c1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd5988b69a792a8de6c513f03dd281d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
2 . 若曲线
与曲线
有四个不同的交点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e06542ae14fdc93ae97abf04f288ed9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb7aae8df70b548191b9ffd0a070968.png)
则实数的取值范围为
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3 . 如图,
中,
是
的中点,
,
.将
沿
折起,使
点与图中
点重合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a63b2c21bd66fe36fd726d17a338fdda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef7d7abc808c38173ea94c60e098ae2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/2017/5/8/1682481531576320/1689161281200128/STEM/60f1b52b6da84fa3975a1bce9579f4fd.png?resizew=17)
(Ⅰ)求证:;
(Ⅱ)当三棱锥的体积取最大时,求二面角
的余弦值;
(Ⅲ)在(Ⅱ)的条件下,试问在线段上是否存在一点
,使
与平面
所成的角的正弦值为
?证明你的结论.
![](https://img.xkw.com/dksih/QBM/2017/5/8/1682481531576320/1689161281200128/STEM/c656a068d94849ffbfdaca92a6e870f9.png?resizew=160)
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