名校
1 . 已知函数
.
(1)求
的解析式,并证明
为R上的增函数;
(2)当
时,
且
的图象关于点
对称.若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86363d44047e7a13439be95c5ada424f.png)
,对![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b67e5c7a36a175b2af73c6cb4d1299.png)
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86cefc2985d88b61b7bae760e83af76.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d3f2fce683d1874c428ce8fb5e1a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8a4ff50485bfcdb95f887b17a0d157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355f79dcbb501ff9a8d8c1f8a3881572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86363d44047e7a13439be95c5ada424f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a168bce0fa038163984ad5c48549268d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b67e5c7a36a175b2af73c6cb4d1299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef519a03bd4a93ce4ee046cdce14fbba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
2 . 已知幂函数
的图象经过点
.
(1)求实数
的值,并用定义法证明
在区间
内是减函数.
(2)函数
是定义在R上的偶函数,当
时,
,求满足
时实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3511abc87c317e991525187595e43ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315a2b2a6ed85afaf5bc98b6966645b0.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d1a94ea3c278c2197572cc1b7725b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52a1444231808970a57697b9cb05354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2021-12-02更新
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1036次组卷
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7卷引用:福建省厦门第一中学2021-2022学年高一上学期期中数学试题
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