1 . 已知函数
.
(1)求函数
的最小正周期;
(2)将函数
的图像向左平移
个单位后,所得图像对应的函数为
,若关于
的方程
在
上有两个不相等的实根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/555ad6c9bac03a27c78f551b268780dc.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43aaa999ab0fa5fc38892713c2e4d428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d51992c05a557cf6058664f1f8961e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 已知函数
的导数为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd81c758860fbebd22ff65b90f0980fe.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01edcd4c2b69051fedc09a78d131ada1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd81c758860fbebd22ff65b90f0980fe.png)
您最近一年使用:0次
解题方法
3 . 已知函数
的导函数
的图象如图所示,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
A.![]() ![]() |
B.![]() ![]() |
C.函数![]() ![]() |
D.函数![]() ![]() |
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4 . 已知函数
(
,且
为自然对数的底数).
(1)讨论
的单调性;
(2)若函数
在
上有两个不同零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d6dbdb282764cdf5ccfdffe1f3ad159.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db14c9d09cd99e440cde407caa496e3.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fba38416550228a6c10ae63baa61beb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
5 . 已知
是第四象限角,
.
(1)化简
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4caf7a1fc1cd9a0e67464bb9edd9660d.png)
(1)化简
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89051bdfab441edb356a0ac1629592dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
您最近一年使用:0次
2023-08-09更新
|
1127次组卷
|
5卷引用:陕西省渭南市韩城市新蕾中学2020-2021学年高三上学期第二次月考数学试题
解题方法
6 . 若函数
在区间
上单调递增,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37cc204d544f36d28211a4ddce7cf5f0.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
7 . 设函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ee3e73261f55b5dfdac6945feca1b11.png)
A.0 | B.2 | C.1 | D.![]() |
您最近一年使用:0次
名校
8 . 已知命题
若
,则
;命题
,则下列命题为假命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b21208364124b5c477b2ff8df1c2e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8d3327811ad92a6e5d148543acaf37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db92d4ad0dc146fbd35ea6de0f094228.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-08-09更新
|
64次组卷
|
8卷引用:陕西省汉中市2021届高三上学期第一次校际联考理科数学试题
9 . 已知函数
,若
,则函数
的解析式为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94281abc10cdc81b129f685b79b60bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0105ca94d4d4bb9552128d34046f8eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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解题方法
10 . 已知
.
(1)是否存在实数
,使得
是
的必要条件?请说明理由;
(2)ᄀ
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d220a0fa69813d1705cd36f1f96d403.png)
(1)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)ᄀ
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次