1 . 下列说法正确的是( )
A.使![]() ![]() ![]() |
B.由幂函数![]() ![]() ![]() |
C.若函数![]() ![]() ![]() |
D.若![]() ![]() |
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解题方法
2 . 给出以下命题正确命题的选项为( )
A.不等式![]() ![]() ![]() |
B.函数![]() |
C.定义运算![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.函数![]() ![]() ![]() ![]() |
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3 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若函数
,对任意的
,存在
,使得
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/079f0ae5366d7e5676533e21d2aa0eaf.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369100ccd44feaa77e5f119ea949a879.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dce2bfe6e1fde9265d2a07c42bbdf58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2261a56462765bd5b87670ebb8949930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f1a33c57ba12929592f747ccf5244d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041ce5a93a320c8f3827ebd0e9b2a832.png)
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4 . ①已知向量
,
,函数
,
,
.
(1)当
时,求
的值;
(2)若
的最小值为
,求实数
的值;
(3)是否存在实数
,使函数
在
有四个不同的零点?若存在,求出
的取值范围;若不存在,说明理由.
②已知函数
,
.
(1)若
,记
的解集为
,求函数
(
为自然对数的底数)的值域;
(2)当
时,讨论函数
的零点个数.
请从①和②两题中任选一题进行解答.
(注意:如果选择①和②两题进行解答,以解答过程中书写在前面的情况计分)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b814601b17759b4b443dfee449f38b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35da2b46d5bec7cac765bd4f0765695d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2336c1535560fa2a97c2abacc4b456ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320db668117654d39faa0c8ce830e9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b19c25a6cf6a3e59196ff48ae94d3dbb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3641c4586177fcc867b5c9bf9ccde802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55d0e764a907b01465d1b0139420e87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/073dfe3ea5f658de9ac138f725e6ee11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914a49b0d7aedc593a3e87fbab7c31ca.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b585543b968f0f272a28260f2b948ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d217c7b12e12e5fb67472452518859ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976c6409a630ce1f3b16ebbd9e5a87a4.png)
请从①和②两题中任选一题进行解答.
(注意:如果选择①和②两题进行解答,以解答过程中书写在前面的情况计分)
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