1 . 已知
有两个不同的零点
.
(1)求实数a的取值范围;
(2)若
,且
恒成立,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38572ad4ef879663d599510d64c4020f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2aabc96b7433bba077ceac76d8f0d75.png)
(1)求实数a的取值范围;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42a42bb64f8a7ba48cd41e3163c33e95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec2e06edc27a6930c32f3450b0fb928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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名校
2 . 已知函数
.
(1)若函数
在定义域内单调递增,求实数
的范围;
(2)若实数
,求
的单调递增区间;
(3)若函数
有两个极值点
且
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075966b597ea85273ffbb7ddcedca7cf.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d1eec645764636c0e23b05e8f93234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9601f47c3f77d6165e1890e3e0d7e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-04-17更新
|
484次组卷
|
2卷引用:江苏省无锡市太湖高级中学2022-2023学年高二下学期期中数学试题
2023高三·全国·专题练习
3 . 已知函数
.
(1)若
的图象在
处的切线与直线
垂直,求实数
的取值;
(2)求函数
的单调区间;
(3)若
时,过点
,
,可作曲线
的三条切线,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af3af9622f25e0d84882ea668541f47b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5986392869d5f309ad37c3f0834d3866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91d5c325fc44bb06ef7408afa977a50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ec54bac1477568b9e2edb4971793967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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4 . 关于函数
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25145de4e581b044fb51e3901b0a11d1.png)
A.若过点![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若函数![]() ![]() ![]() |
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解题方法
5 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f9473673cca8742b6967e3e6967c8f.png)
其中
为实数,
为自然对数底数,
.
(1)已知函数
,
,求实数
取值的集合;
(2)已知函数
有两个不同极值点
、
.
①求实数
的取值范围;
②证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/652d15957a73750cd07f4697ea7ad3d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f9473673cca8742b6967e3e6967c8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05250abe6da85eb0b555948d7dbaf317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11204e2fb6e560bf7a4ca26eaebfc526.png)
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851eae00e3369068e33a7e6420483883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4633de9335d15d7685bdecb007a3678c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
①求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c013dd461282a9677073747d55f685.png)
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解题方法
6 . 已知函数
若
的值域为R,则a的一个取值为____________ ;若
是R上的增函数,则实数a的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e372ebb8eae888f8db06520d6fc4316d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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7 . 关于函数
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25145de4e581b044fb51e3901b0a11d1.png)
A.若过点![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若函数![]() ![]() ![]() |
您最近一年使用:0次
2022-07-26更新
|
630次组卷
|
2卷引用:广东省佛山市南海区狮山石门高级中学2021-2022学年高二下学期第三次大测数学试题
名校
8 . 设
为实数,函数
,
.
(1)若函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec650b76fcd62342ca451d683258f16.png)
轴有三个不同交点,求
的范围
(2)对于
,
,都有
,试求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/020f9d88ac45acd29272b9412c886f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1495821fad209346487928e0429f742.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec650b76fcd62342ca451d683258f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d93f4c9a58325668a7a97ac88bc813.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/214d5b7e333f546dcf4c14dcf8462648.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-05-30更新
|
773次组卷
|
4卷引用:吉林省延边朝鲜族自治州延边第二中学2021-2022学年高二下学期期中数学试题
吉林省延边朝鲜族自治州延边第二中学2021-2022学年高二下学期期中数学试题(已下线)专题07 不等式恒成立问题(已下线)专题07 不等式恒成立问题-2吉林省延边朝鲜族自治州延边第二中学2022-2023学年高二下学期第一次阶段检测数学试题
解题方法
9 . 《三十六计》是中国古代兵法策略,是中国文化的瑰宝.“分离参数法”就是《三十六计》中的“调虎离山”之计在数学上的应用,例如,已知含参数
的方程
有解的问题,我们可分离出参数
(调),将方程化为
,根据
的值域,求出
的范围,继而求出
的取值范围,已知
,若关于x的方程
有解,则实数
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd1c49dc29afbe682b594e413938c1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4e81bdb10bf0ee8130fe48d4d938de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b26cfc196bd98ac2996e22d27a43be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ad8175214b7ae238425e65c09a2db1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7ee67c18bcff3af43212e56f463245b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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解题方法
10 . 已知
.
(1)若
在
处的切线过坐标原点,求
的取值;
(2)若关于
的不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8f43859f670aa5dfb5686a1eba3247c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6c8544c32deceb49a7d5ceb467e800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a3638915931e9dbabcfcdaea318450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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