已知函数
的图象与
轴相切,且切点在
轴的正半轴上.
(1)若函数
在
上的极小值不大于
,求
的取值范围.
(2)设
,证明:
在
上的最小值为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de0fad214fcf7177676371ec4ecb74dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25da8eb5f60afc31df54b3c0858982b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec93744984e75f0e92de372270ed23a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1e94f660b7d05de4be4b5fbd9041f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b2b753ac6e0b6133d07a7a66d544c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
更新时间:2017-12-07 17:13:32
|
相似题推荐
解答题-问答题
|
较难
(0.4)
名校
解题方法
【推荐1】已知函数
.
(1)讨论
的导函数
的零点个数;
(2)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/671db11c586434ae5a4a7947f8dfe052.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8498ecddd49013a081ccba341d8aae8f.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
【推荐2】已知函数
(
是正常数).
(1)当
时,求
的单调区间与极值;
(2)若
,
,求
的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e74da4b06c434c46d5a8958ad77f2592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
解题方法
【推荐3】设
,若
时,
,求整数k的最大值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c8cf4e1feeb1ef1b73523fd0637ba2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9c1d83e687e18832b3e21d65516a91a.png)
您最近一年使用:0次
解答题
|
较难
(0.4)
【推荐1】设函数
,
.
(1)讨论
的单调性;
(2)设
(
).对任意
,
,
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc873fc03e6e4d3c4ba02f8b1147b20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b237e0a5c9465cec911e454256d7ec.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e5c750ad3003d49c5c0f906e34ca6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/045a5369e2f603406921ebafb84bc88b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c16b748ca5aac72437f5b13c86f5435f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
名校
【推荐2】已知
.
(1)当
时,求曲线
在点
处的切线方程;
(2)当
时,研究函数
在区间
上的单调性;
(3)是否存在实数
使得函数
在区间
和
上各恰有一个零点?若存在,请求出实数
的取值范围,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386aeeaefcda371964efee620e211a2c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf7b339246d52b29603d33c152f44de1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f047f1c06d194c4537bd3d71c256e350.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1897647acfddc8d58dad1a89ce36354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f295c339e34685eafcc53277309685.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26c446191f3046465455df06cda9b7a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7f295c339e34685eafcc53277309685.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
【推荐3】已知函数
.
(1)当
时,求此函数对应的曲线在
处的切线方程.
(2)求函数
的单调区间.
(3)对
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bf79ffbf145cade36c5bf4d6af48f9b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce2837a8732f5038a0245b69306d20d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbace3c515a84de05d9107cd97a3b4ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
解题方法
【推荐1】已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f0d0560ae468274bbf3197c0e14a5e.png)
(1)当
时,函数
在
上的值域;
(2)求函数
在
上的最小值;
(3)证明:一切
,有
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f0d0560ae468274bbf3197c0e14a5e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6bfefa5b41faae17987876d570685d.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8267d07de45e2614d24d53e28d50f1d0.png)
(3)证明:一切
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e82c4003d20b36777f7aea584e3dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf3ee6ffb0ae09b26a177ebd3c04b5a.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
名校
【推荐2】设函数
(
),
.
(1)若曲线
与
在它们的交点
处有相同的切线,求实数
,
的值;
(2)当
时,若函数
在区间
内恰有两个零点,求实数
的取值范围;
(3)当
,
时,求函数
在区间
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3faf9e923599c714038345503bc8bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de3b8616b18e1772e20cb0557125f1f.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42007bf969626b5b86abe80782c6879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3524a611d4818f61abb210d6c598cd7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7863b54185da5a3f1a765e1aa0577e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd243fab0af865af67a2ab817e909cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d765aa701aea8b0a18496fad1449a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4df6e039064c9b8963d3c62150df8e6.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
名校
【推荐3】已知函数
.
(1)若
,讨论函数
的单调性;
(2)若
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54f6aeddd97f92a9e807c1385cb6e43b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f2c6b9a417052c7ce6f5c13d8de9ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b2f2ca41c6a59b782fc687fa79fbdb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45f22b1b79d0d6c21cb1696dfd48bd84.png)
您最近一年使用:0次