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1 . 已知函数
的定义域为
是偶函数,
是奇函数,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea829a3414301203ddf659b0a7a5136b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42b523e27f332f8591fd49bc6d7a4c05.png)
A.![]() |
B.![]() |
C.![]() |
D.不等式![]() ![]() |
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2 . 已知函数
,
,若存在实数
使
在
上有2个零点,则
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7fceb2c73d92d7c3abfc70f9bde2b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7ce9120a714c2fb1f2bded90416be4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b7c2420c387be8882df4359ac10b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e62a68c0dfbfdda7bee162408768ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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今日更新
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267次组卷
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4卷引用:辽宁省沈阳市东北育才学校2023-2024学年高二实验部下学期阶段检测二(6月)数学试题
辽宁省沈阳市东北育才学校2023-2024学年高二实验部下学期阶段检测二(6月)数学试题上海市川沙中学2023-2024学年高二下学期期中考试数学试题(已下线)专题05导数及其应用--高二期末考点大串讲(沪教版2020选修)(已下线)专题10 函数的零点问题(一题多变)
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解题方法
3 . 下列命题是真命题的是( )
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若正实数![]() ![]() ![]() |
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4 . 若正整数集
的非空子集
满足:至少含有2个元素,且任意两个元素之差的绝对值大于1,则称
为数集
的超子集.对于集合
,记
的超子集的个数为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26974cd38196094faf713e10668d42a2.png)
______ ,
与
的关系为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12934b832f1484fb88b13974e50cad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12934b832f1484fb88b13974e50cad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10937bdfe1d64b5f53b598b377f94312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26974cd38196094faf713e10668d42a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69725055853cf456a3c92632bd54dbe.png)
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5 . 已知数列
满足
,若
为数列
的前
项和,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54012238c313580099a935610e5e4593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3ad7900c6935b112096417baabedaec.png)
A.408 | B.672 | C.840 | D.1200 |
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解题方法
6 . 已知函数
,
则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2d313f01b4a5930268e6aad77c812c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97722529f02f809bd9e6f9a4474b9ad5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 已知函数
在
处取得极小值0.
(1)求
的值,并说明
的单调性;
(2)若
的一条切线
恰好经过点
,求切线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6951a36f9b2fdde2ae6bca079bdd34b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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解题方法
8 . 已知命题“
成立”是假命题,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96dff71541efdb6f03d8e78dd8e1efdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
9 . 已知函数
的定义域为
为其导函数,若对
,
,则不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b521dcb9fab2c9e5ab65bbc57fd55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e81b4aac721bcd4a49593b48a28a8f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f13446e6367e8c5361a3ab64b01fd13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 已知等差数列
的前9项和
,且
.若数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac8b6f6e36d49dd53db30384497ef79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c16a818ea61a1dc8aa68b4ca000e02.png)
(1)求数列
的通项公式;
(2)若数列
满足
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/844f9e03483c710ad6cea8de4916fef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00d194ba78838168b0e2dd321063d807.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac8b6f6e36d49dd53db30384497ef79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79c16a818ea61a1dc8aa68b4ca000e02.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62e567d7e9761951a266953c8d5042ac.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9221c0c92a526f65533cdc5400767af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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