已知函数
.
(1)当
时,求
的最值;
(2)讨论
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ef9cb797e1ac510b96c270d51d5fbb9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
更新时间:2020-07-20 18:10:40
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解答题-问答题
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适中
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解题方法
【推荐1】已知函数
.
(1)当
时,证明:
;
(2)判断
在定义域内是否为单调函数,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dbc1448734da4134198fea9fbf51d27.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a14e59cf0da917b3855f99aa25f074c.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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解答题-证明题
|
适中
(0.65)
名校
【推荐2】【江苏省南通、徐州、扬州等六市2018届高三第二次调研(二模)测试数学(文理)试题】设函数
.
(1)若函数
是R上的单调增函数,求实数a的取值范围;
(2)设
,
是
的导函数.
①若对任意的
,求证:存在
使
;
②若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e66a70894b38231f6ae3d11132900f4b.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e14fd7b08b0d6855527d8539e41fdbb.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13d277d705b675814b3c245884df649a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42154a94c4fe115ba9b54c2910d0ffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bbf3e4121fa33f14ec6474d07c70f64.png)
①若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea8d76ec2d91d204db285fc88770f49a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ec51c9f5a1300ae369f99be27c670f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec273c5a0d32646329c75d830618210.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7476f3dfca96d7e9edc93b3db4b93bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba56f8b70d256d9c278adc2de0548a78.png)
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适中
(0.65)
名校
【推荐1】已知函数
,其中
.
(1)若
,求函数
在区间
上的极值;
(2)当
时,试确定函数
的零点个数,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409f83c3db66b9f8036a896d3ec99e77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f00bba28ce932fbcc82ed562994f031.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9998f27aca8e31ba479b96858b509c85.png)
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解答题
|
适中
(0.65)
【推荐2】已知函数
.
(1)若
,函数
的图像上是否存在两条互相垂直的切线,若存在,求出这两条切线;若不存在,说明理由.
(2)若函数
在
上有零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87535cfc0736ae8cb7af1391f6a08f31.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次