已知函数
,
(1)求函数
的单调区间,并判断是否有极值;
(2)若对任意的
,恒有
成立,求
的取值范围;
(3)证明:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dcbc4f794f967e4b436ca674c37baf2.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f418af93b208d0fca9a391393c841a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234aa423fe4d668cffa03f2fc9250d78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2be31d987108fba76dbca933b92d8c.png)
更新时间:2016-12-03 14:58:48
|
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【推荐1】已知函数
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(1)当
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在
处的切线方程;
(2)讨论
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(3)设过
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(1)当
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
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(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)设过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c1dc007e36c78ab98df4cd2383b4c5d.png)
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【推荐2】已知函数
.
(1)讨论函数
的单调性;
(2)设函数
,其中
,若函数
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0e873c8cfe7c79c9342858f5054c2a.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c52db4ba86deee01675a79188d1afb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
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【推荐1】已知函数
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(1)求函数
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(2)已知
对于
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的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03c620ddc4e30e946d2ac5995b5fa82a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9086ceae935bb2d3a9684d2191b2e94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
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【推荐2】已知函数
.
(1)当
时,讨论函数
的单调区间;
(2)设
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没有极值点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826eba2e80ecb1e75deb9c8c2f98da61.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e60e2fa3ac066205c484f6bf930e90e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
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您最近一年使用:0次
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解题方法
【推荐3】已知函数
.
(1)若函数
在
处取得极值,求
的极大值;
(2)若
对
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28aea823dec29368e9cadbba18b4725.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256f3981024e53f373a80aad40e994ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6a8984aa398bf767ccd9a601d77983.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11204e2fb6e560bf7a4ca26eaebfc526.png)
(1)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5cf36bbcd71d1b792005f1e3055dff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
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解题方法
【推荐2】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7af2e9f6cc871fd77eeaf539462765.png)
.
(1)若
有两个零点
,
,且
,证明:
;
(2)已知
,在(1)的条件下,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7af2e9f6cc871fd77eeaf539462765.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c235ca725ade5c8b07943ac106a90fb3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/684bcf84f0a266515bfafde0da903050.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bb217eddf70285d7d23402db5f76516.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec2349e3509799b01ce88ce91a0d7dda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51354eb0f1a27b671f183b9f0292a186.png)
您最近一年使用:0次
解答题-问答题
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较难
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【推荐1】已知函数
(其中
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的单调性;
(2)当
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,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56648634bc77404a541bff6e6565d34b.png)
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(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01204c4eacb2c21f8357408b3b7e7093.png)
您最近一年使用:0次
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(0.4)
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解题方法
【推荐2】已知函数
.
(1)讨论
的单调性;
(2)若
对
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f16bcfcd43e6084114de174d4d0dfab2.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
您最近一年使用:0次