1 . 方程
在
上至多有两个不同的实根,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/963b9ad133128caec11ad958b6a39bec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 若复数
满足
,则复数
的模![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d75f2f001c8adfc8b3f4cd6e61dea19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
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3 . 求下列函数的导数.
(1)①
;②
;③
;
(2)①
;②
;
(3)①
;②
;③
.
(1)①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c884e534313d810d5fc36b95f9fcaa08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e769299acbcc266a35ddd6848452f14.png)
(2)①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11b587eab7ca8cd4ec6d3dd1c8b4585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10408555b8279a4e9621d077acf7a97.png)
(3)①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/125bea9ef0d4a26ac65cacf66536b388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de1454530ed83e70e2831ec0fd8d9d48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e841547b8732a15323ab74fb109f360.png)
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4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a18084f69518fdddd1242cf8b84a51.png)
(1)若b=0,求函数
在x=1处的切线方程;
(2)若b=2,求函数
的极值;
(3)讨论函数
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a18084f69518fdddd1242cf8b84a51.png)
(1)若b=0,求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)若b=2,求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
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5 . 求下列函数的单调区间.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2971e4442503117b7f71fff01776ebc3.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180c8eb8b06cf2624bec4a72c10dfd71.png)
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6 . 如果函数
在区间
上连续,在区间
内可导,则“
”是“
在
上单调递增”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62559d143b4a977be9990eebcbec539e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
A.充分而不必要条件 | B.必要而不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
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7 . 已知函数
,则下面四个结论中:
①函数
在
上单调递减;
②当
或
时,
有一个零点;
③函数
存在最小值;
④当
时,
恒成立.
其中所有正确的结论序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b47d4c5d3ddd3ce7f949670d36f974.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd243fab0af865af67a2ab817e909cf5.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75807858b7804a1ad2039c41f323a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63783f2f99cc5d905af8050b34c5e482.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a048c77ba546fd52ba4a73db53f092e.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4160810e172570db3367a657605ed7ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38c6aeaef586ed4aff1bd3aa93fb728b.png)
其中所有正确的结论序号为
您最近一年使用:0次
8 . 如图是函数
的导函数
的图象,则下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851c68ef2e0703706f3b528daa902eb8.png)
A.![]() ![]() |
B.![]() ![]() |
C.函数![]() ![]() |
D.函数![]() ![]() |
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解题方法
9 . 已知函数
的导函数
的图像如图所示,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
A.函数![]() |
B.函数![]() ![]() |
C.曲线![]() |
D.函数![]() |
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解题方法
10 . 已知函数
,
.
(1)求
的极值点以及极值、最值点以及最值;
(2)设
,其中
,若存在唯一的整数
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d3c82a47d1b9a0e4694643325bf3f48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f417f76e2e7eb5231d8e90fb85c5b17.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd5dfcac1e93e91962a5efc18d43947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49394e68ffeca8ef55bfde18c7ef0d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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