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1 . 若函数
(
)和
的图象的对称轴完全重合,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
_________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f187cc0319809fa6d6c72068837b4814.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbad0f2863405a8d653b37ce1411f947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be0f51ae5cf685c22673ca0403286c3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f187cc0319809fa6d6c72068837b4814.png)
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2 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9821cd4642425ae8d6c92ff9d48123e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f16ecf00e593999e81a50906659f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9821cd4642425ae8d6c92ff9d48123e.png)
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3 .
且
,则
等于______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325fe65ac16ff9147c76682d4c581b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2635c6e599f816c706e471a3c197d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d55ef0d1b7ea88d92fd6e1ecebb5f5.png)
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4 . 已知函数
导函数为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d514174b3d31834dd436ba2bd1d8d1.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/76e0f7d376f0410043aac91e5b090fad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d514174b3d31834dd436ba2bd1d8d1.png)
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2024-05-08更新
|
477次组卷
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3卷引用:浙江省三锋教研联盟2023-2024学年高二下学期4月期中联考数学试题
浙江省三锋教研联盟2023-2024学年高二下学期4月期中联考数学试题(已下线)模块五 专题4 全真能力模拟4(人教B版高二期中研习)福建省厦门市湖滨中学2023-2024学年高二下学期期中考试数学试题
5 . 将正整数12分解成两个正整数的乘积有
三种,又
是这三种分解中两数的差最小的,我们称
为12的最佳分解,当
是正整数
的最佳分解时,我们规定函数
,例如
,下列有关函数
的说法,正确的是:______ (把正确的答案题号都填上).
①
;②
;③
;④若
是一个质数,则
;⑤若
是一个完全平方数,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/446ca8039ed3cc70424063ffbb54e2b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085a73c2b8fb60fa810642040b599a5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085a73c2b8fb60fa810642040b599a5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92929613550308d597d738dc4963a2f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066de86a46332d480269aa125a47c714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b842f73e28cf0a875fc9de9b93dea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066de86a46332d480269aa125a47c714.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/153d72dfa6aa662b1091bc8305e59b60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b4ffe89e7474ffe38f5e156ed559876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af3160a1358406bc85a7fbc4e6dadd8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60173658c5bffc8bf1efc74e19986901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c494f86e8b3286215fb254a0549653c.png)
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6 . 已知函数
,其导函数记为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bee080faaa1aa10a87267098245ac42.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57762f410fc839804895bdf6fd0922d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bee080faaa1aa10a87267098245ac42.png)
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7 . 已知
,函数
有两个极值点
,则下列说法正确的序号为_________ .
①若
,则函数
在
处的切线方程为
;②m可能是负数;
③
;④若存在
,使得
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f1d37d41130c72ae150a64ddb2f949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711b21672fd907c5c92fee1d649e7003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf46dc84732526c826d84a71c407ea89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f7fbfa2214ca72495a993b2fed8b61.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f8f79e938bf77f67440579ad10cb82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ad90ca228230b03f12eb48ee0c1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eaa6773bd23f36a1577f8456ae6ae86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9c27cc04aca332fb3098228a1119b3.png)
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2024-02-13更新
|
266次组卷
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2卷引用:天津市重点校2023-2024学年高二下学期4月期中联考数学试题
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8 . 已知函数
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8f8ce8506f08854d8d106d6500cba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca21ed066d60137c02edee7641e2723.png)
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2024-02-04更新
|
1294次组卷
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4卷引用:河北省石家庄市元氏县第四中学2021-2022学年高二下学期期中数学试题
河北省石家庄市元氏县第四中学2021-2022学年高二下学期期中数学试题陕西省西安市陕西师大附中2023-2024学年高二上学期期末数学试题陕西省西安市经开第一中学2023-2024学年高二下学期第一次月考数学试题(已下线)专题04导数期末10种常考题型归类【好题汇编】-备战2023-2024学年高二数学下学期期末真题分类汇编(人教B版2019选择性必修第三册)
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解题方法
9 . 若奇函数,则
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2卷引用:广东省潮州市饶平县第二中学2023-2024学年高一上学期期中考试数学试卷
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10 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92682840e2a230de346562b2032f8adb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521e494de77d037025b58414aa17efb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92682840e2a230de346562b2032f8adb.png)
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2023-12-11更新
|
1408次组卷
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6卷引用:上海市向明中学2023-2024学年高二下学期期中考试数学试题