名校
1 . 设
,若
,则实数
的取值范围为.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c73a3832bf5bc99a24c77058d827e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2010高三·辽宁·竞赛
2 . 已知
.若,
在
上的最大值为
,最小值为
,令
.
(1)求
的函数表达式;
(2)求证:
恒成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0eb4e421bb2adeba0cb5af9e829348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6393cd82af957413415ce707ea02cae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/760f804646698060703c5458ff5637c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c169d211feb90112d105fcaf042d7b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714a3a95ceddb508866148aeaad1d294.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6cfe9f3509234ba41ba1c62e617dd63.png)
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3 . 已知关于
的方程
.
(1)若方程无实根,求
的取值范围;
(2)若方程有唯一实根,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/443d6b234417eba09725ea3bbf423646.png)
(1)若方程无实根,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若方程有唯一实根,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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4 . 设实数
满足
.证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbe88031d4b5e8cad3f80f363c86b361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a46e678bf9d2df5ad4c782b3dc22f5.png)
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5 . 已知点
在曲线
上,点
在曲线
上.则
的最小值是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2eff609c6043c2a89a6dd163fe2244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44e8bc37ed03f44470762748a8f942a.png)
您最近一年使用:0次