1 . 已知函数
.
(1)求函数
的定义域和值域;
(2)判断函数
的奇偶性;
(3)判断函数
的周期性,若是周期函数,求其周期.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5355509457bf448421971b80063d8939.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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2 . 已知函数
.
(1)求函数
定义域;
(2)设
,求
值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fba1fcc750a54b765bb4da6c947149b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b6f0a456ed42616e56452a560a44f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d69f5d4d9fb7416686d2f6aa813c18.png)
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3 . 已知集合
,集合
.
(1)求
;
(2)若集合
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27015444e948e59541c4347094675a2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd34f5e0cf54be8f10bd369164cd378f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b0f38ef62fbaa2a6c104cd889f9d22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29cd450d0feaea9acb27a60430f4a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-12-24更新
|
150次组卷
|
2卷引用:上海市金山中学2020-2021学年高一上学期12月月考数学试题
名校
解题方法
4 . 已知函数
.
(1)求函数
的定义域;
(2)判断函数
的奇偶性;
(3)
,求函数
的最大值及此时x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/452d9397b90650523a84a9918d9f835b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd66dd931debb12191bb6dc97ff817d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
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解题方法
5 . 已知函数
其中
.
(1)求函数
的定义域;
(2)判断
的奇偶性,并说明理由;
(3)求使
成立的
的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f217a3002b68e41266d6529883c3958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc876c76ade5694eef670e15d1b05159.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aae37cac299cbe3ccac181b2175287f.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aae37cac299cbe3ccac181b2175287f.png)
(3)求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b5b017de7aec0711fef053f1a0197a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
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6 . 已知函数
(
且
).
(1)求函数
的定义域及单调区间;
(2)求函数
的零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5416e40b52beb2c6fdcb11a9ecb8ac2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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7 . 已知函数
,常数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)已知
,若
的定义域关于原点对称,求实数
的值;
(2)当
时,判断
在区间
上的单调性,并利用定义证明您的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2476a8ea0b6d2183d3198f00436fdd1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff33b4b5897c2736e3d237f0ab1afdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
您最近一年使用:0次
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8 . 已知集合
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd87974065c71abe3ada3c4fc686f8f.png)
(1)化简集合
,
,并求
;
(2)当
,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f380b3ae85314efc7e36c294fae45aca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bd87974065c71abe3ada3c4fc686f8f.png)
(1)化简集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/551fd8cd8ea61d794c13074ccd7d6c4e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c61013cde70f63ce22615cb06751fd21.png)
您最近一年使用:0次
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9 . 已知函数
(
).
(1)若
在
上有意义.求实数a的取值范围;
(2)若
,且
,求实数b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff7f49fb6bed6579a0571662096e5e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ff131c51a4ef6745538c18cec92c2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8137b77f9b1d91ef7b5763ac5d265b6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cc36a94547a040f34392addf7b2fd3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17c06ac3e12c215579a6bcf0036edc42.png)
您最近一年使用:0次
名校
解题方法
10 . 函数
的定义域为
,集合
.
(1)求集合
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d9da0f1adae695be1963ded2f97b16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c43b3386a5c892061c9016d220391498.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次