已知
,且
在
和
处有极值.
(1)求实数
的值;
(2)若
,判断
在区间
内的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837cebb24fb4284387eb17784d2c939a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce433ed23cc17eeea9f14bf259fdbaee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0288ee1a3fc67fc212357e0141e5f839.png)
更新时间:2016-12-04 08:10:15
|
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适中
(0.65)
名校
解题方法
【推荐1】已知函数
在x = 1处取得极值
,其中a,b,c为常数.
(1)试确定a,b的值;
(2) 若对任意x>0,不等式
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c11aea514d69f52b1a35156cce30f7cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edeb09669a1331232a94fb0a3d7a8d88.png)
(1)试确定a,b的值;
(2) 若对任意x>0,不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb184ccd93dec193328ad7f7e8b06da8.png)
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解答题-问答题
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适中
(0.65)
【推荐2】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62322113e6699247bb749487aee59f39.png)
(1)若
在
处取得极值,求
的值及此时曲线
在点
处的切线方程;
(2)讨论
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62322113e6699247bb749487aee59f39.png)
(1)若
![](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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29c5c266a6d834a244c1f50c8f9848c.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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适中
(0.65)
名校
【推荐1】已知函数
.
(1)讨论函数
的导函数的单调性:
(2)若对
,
,
,都有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f84fb8f259f8301fd088dad074d859cb.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/673207f6b77b8192d25463d071737b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20eca92d8493b55537763b01466c3504.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07f939b78d5883c97cd6b12a021a785.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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适中
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【推荐2】已知函数
.
(1)若
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的单调区间;
(2)若关于x的不等式
在
上恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd51a3ec4ffe59f141ee04a42abb3a5c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce655a13dea9309f8ed84036ba293aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d52fdc6def28776aa9134336dc567f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
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适中
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【推荐3】已知函数
是自然对数的底数
.
(1)讨论函数
的极值点的个数;
(2)证明:函数
在区间
内有且只有一个零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8dc3504c6accf0c6175a2c634b4044d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
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