1 . 已知定义在整数集合
上的函数
,对任意的
,
,都有
且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1193e5916fd99110a13c75e2b81e78f6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0ecd416d6dc3d886b7bf73fc285dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5aac164d04eb2155535cd35f1df3d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be0b370cad7a22d5b3374d394921ae0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb20df2c1e35dad97106558531b0ce6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1193e5916fd99110a13c75e2b81e78f6.png)
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5卷引用:河北省邯郸市魏县2022-2023学年高一上学期期末考试数学试题
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2 . 已知函数
则
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67bb1773e6bc6c27cac46168d93110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
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3卷引用:河北省石家庄外国语学校2022-2023学年高二上学期期末数学试题
3 . 定义在
上的函数
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ced07cd16cd6d82f8626c2ce3bc17b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b70a0f2d411b2d227ec86699961401e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71599cd707909eb30d2a54be7f8c966.png)
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5卷引用:河北省石家庄市辛集市2023-2024学年高一上学期期末数学试题
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4 . 已知函数
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a886ec8221d149718403decfa912e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
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5 . 定义在R上的两个函数
和
,已知
,
.若
图象关于点
对称,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c69303bd9eccb3ccb55c9e4cd03a8a3.png)
___ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c016b51f8fa2dbdf950260257a7fe61e.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/123d32660dd4213ea3cef00bdb1b5945.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81397709fecd0b71b06d5c440e870729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c69303bd9eccb3ccb55c9e4cd03a8a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c016b51f8fa2dbdf950260257a7fe61e.png)
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6 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92682840e2a230de346562b2032f8adb.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/872bc87371198f20853e5935607cdbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92682840e2a230de346562b2032f8adb.png)
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3卷引用:河北省沧州市2022-2023学年高一上学期期末数学试题
7 . 已知
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe903518df2eaa2c98563ba3e46a9b4.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/723263ab02f7b36d83bfc17a051087a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe903518df2eaa2c98563ba3e46a9b4.png)
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8 . 已知
是函数
的导函数,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1d0b9e2a03af78e47b94a74df50b174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
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3卷引用:河北省石家庄市辛集市2022-2023学年高二下学期期末数学试题
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20-21高一上·全国·课后作业
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9 . 有对应法则f:
(1)A={0,2},B={0,1},x→
;
(2)A={-2,0,2},B={4},x→x2;
(3)A=R,B={y|y>0},x→
;
(4)A=R,B=R,x→2x+1;
(5)A={(x,y)|x,y∈R},B=R,(x,y)→x+y.
其中能构成从集合A到集合B的函数的有________ (填序号)
.
(1)A={0,2},B={0,1},x→
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1020afcfd8b7de38dfd825373b86bdea.png)
(2)A={-2,0,2},B={4},x→x2;
(3)A=R,B={y|y>0},x→
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/549b2ba7e9901807ef99beafa64ff956.png)
(4)A=R,B=R,x→2x+1;
(5)A={(x,y)|x,y∈R},B=R,(x,y)→x+y.
其中能构成从集合A到集合B的函数的有
![](https://img.xkw.com/dksih/QBM/2021/4/16/2701229585416192/2702443986436096/STEM/6dc4ea6f035e43a28781c31979b26b53.png?resizew=27)
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解题方法
10 . 已知函数
的定义域为
,满足
,
的图象关于直线
对称,且
,则
______ ;
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e21b60b8b5fffe78a4fe3aed643ed925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e356a6e54a669fda721085096c8416db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a7798f78f349848294ebdbc001c9cb.png)
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