若函数
在
,
上为增函数.
(Ⅰ)求正实数
的取值范围.
(Ⅱ)若
,求证:
且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd59a80f2f76fdde17febdf32cdf726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f124fb9eab689c537bb5ddf5012e35f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34a89c09d40f1ca26c70beadd071658b.png)
(Ⅰ)求正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d00e8d066ddf7d2de4b327713a3526.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4455fe3127c5130ae5f66e42a7cc79d6.png)
15-16高二下·陕西西安·期中 查看更多[3]
2015-2016学年陕西省西安一中高二下期中理科数学试卷(已下线)大题专练训练40:导数(证明数列不等式1)-2021届高三数学二轮复习黑龙江省哈尔滨市第九中学2020-2021学年高二下学期四月学业阶段性评价考试数学(理)试题
更新时间:2021-03-16 17:37:28
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解答题-问答题
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较难
(0.4)
名校
解题方法
【推荐1】已知函数
,其中
为实常数.
(1)若存在
,使得
在区间
内单调递减,求
的取值范围;
(2)当
时,设直线
与函数
的图象相交于不同的两点
,
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784b01e4231f568a64c1ffe054d7c7aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/225661d0d6e32f4e8917cc30074fe837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231896d2386c924306fce5ccf9f9e8a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/567467db4e3acad221ee2b649e942fb5.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2】已知函数
.
(1)若函数
在区间
上单调递增,求
的取值范围;
(2)若函数
的图象与直线
相切,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b8e6e9f8293fc295d9afb4ef3b3090.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1a65d88f9823d49da8f3b96ea9ec6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解答题
|
较难
(0.4)
名校
【推荐1】已知函数
,其中
,
,
是自然对数的底数.
(Ⅰ)讨论
的单调性;
(Ⅱ)设函数
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da0255ef2567bcf62cf595fcb881a413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
(Ⅰ)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(Ⅱ)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c79819087ef0979d62284e850f02d161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8148436d0fb5d370b5672176ed2577d0.png)
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解答题-证明题
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较难
(0.4)
【推荐2】已知函数
(a为常数).
(1)求函数
的单调区间;
(2)当
在
处取得极值时,若关于
的方程
,在
上恰有两个不相等的实数根,求实数b的取值范围;
(3)求证:当
时,有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573f19b1387edfe6dd8b56f9fcdc84f5.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66ee50ed8900698e92e610f212678873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b448fe164c2c2931805e3b3847dcdd75.png)
(3)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc950c9a303865d535fa7883bad432b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e2fb418620f6e24a24347f826387e3f.png)
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