已知函数
为方程
的解.
(1)判断
的奇偶性;
(2)若不等式:
对于
恒成立,求满足条件的
的集合.(其中
为自然对数的底)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e718426d09ecd7c258cb0a771e49259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2226adc6098875141a6133ba0a9b800d.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56668bc4deac9925603c25a5c836a9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ccacbe4fe85661db53544141483761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
更新时间:2022-12-18 21:05:16
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解答题-证明题
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适中
(0.65)
名校
【推荐1】(1)已知函数
,试判断函数
的单调性,并说明理由;
(2)已知函数
.
(i)判断
的奇偶性,并说明理由;
(ii)求证:对于任意的x ,y∈R,且x≠±1 ,y≠±1,xy≠−1都有
①.
(3)由⑵可知满足①式的函数是存在的,如
.问:满足①的函数是否存在无穷多个?说明理由.
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c679d901bbf3c1ab4bb460b14c14a92e.png)
(i)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(ii)求证:对于任意的x ,y∈R,且x≠±1 ,y≠±1,xy≠−1都有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f8de2d956667ac46558461c40c0c528.png)
(3)由⑵可知满足①式的函数是存在的,如
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解题方法
【推荐2】已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b406046f5d8a1e698597ba3fd7e64b36.png)
(1)判断函数
的单调性,并用定义证明之.
(2)解关于t的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b406046f5d8a1e698597ba3fd7e64b36.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)解关于t的不等式
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【推荐1】(1)已知函数f(x)=lg sin x+
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(2)求函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a22902eec26ad6cbb9c0bf3dd3af6f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c2b9bd195d08ff699ff54176b3f2ac.png)
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(1)求常数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
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(2)
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【推荐1】设向量
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f03844a4d49eadf4157de7c7c339b69.png)
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