已知函数
.
(1)试判断函数
在区间
上的单调性,并用函数单调性定义证明;
(2)若存在
,使
成立,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f86ce27c62d323ba81f88d3f19eef3c.png)
(1)试判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc0c85ecd3c0be2df1ec6b42ffb779e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
更新时间:2023-12-15 16:57:42
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【推荐1】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db607fe43eab90952ab77d804f134e5c.png)
(1)判断并证明函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db607fe43eab90952ab77d804f134e5c.png)
(1)判断并证明函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ef7bea32c1bda133469b58b2fcbfc0.png)
(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76403d7140eb0fb3942718a3f4532151.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d22dd3a5c18e6c6a0b2bf825e9bfba3c.png)
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【推荐2】已知定义在R上的函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeac0623fad47a86d661317700008cb5.png)
(1)判断函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeac0623fad47a86d661317700008cb5.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16a92b07fc523e25269bec80c125856.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb5da3d2abe7590d25331112e4dfa5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703c71e301b4bdaef96da0c9769adbe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad3e902bdc48a4e6042deb26c2399f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032e8dc00cdc96860c9cbf8ac09677fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐3】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f35a410967593f928d9cf4d7e10f3f4.png)
(1)解关于x的不等式
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f35a410967593f928d9cf4d7e10f3f4.png)
(1)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e698276b8f6acf5b457453dc8fffd551.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da8f22bf2765c20529c46cedc66a15b7.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eca5c282908fef3f0481e376f42c490.png)
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