24-25高一上·全国·课后作业
解题方法
1 . 设
,且
,求下列函数的定义域:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d1f6f73cfb1438fca4e6957abbace1e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9bfe784d9f5f0333ec3942e1e4bb184.png)
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2 . 已知函数
的定义域为集合
,集合
.
(1)若
,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/759336bc4a1d02713f41320503423d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbcb06cf20c2e87fd69513c117936f1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/170ed92b09d13465657b81d1defedec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
3 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5492182a37d89038c162b06021ca7dd2.png)
(1)求
的定义域,并判断其奇偶性;
(2)判断函数
在
上的单调性,并用单调性的定义加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5492182a37d89038c162b06021ca7dd2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0109d06b8be2e402b5ffbb0aeb501009.png)
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4 . 已知函数
.
(1)判断函数
的奇偶性,并说明理由;
(2)讨论函数
在
上的单调性,并加以证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5f5490b9d6b025c720fae613a26e35.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
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2024-02-24更新
|
315次组卷
|
2卷引用:广东省广州市越秀区2023-2024学年高一上学期期末数学试题
解题方法
5 . 函数
的值域为
,
的定义域为
.
(1)求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a586717b367d464f51434a8c260585a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd78ab6562f8e8426cf9baa16db77bd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
6 . 已知集合
,
.
(1)求集合
;
(2)若
,函数
,求函数
的定义域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65a02e056c83945f168a5fd17bbff47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddafc42bc0448a86814f67cb3d17f63b.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917864013a52e1549f717f86f7569954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89c265f97261810d18fdd2b61936db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
解题方法
7 . 已知集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870c406c542fcfa425c6b1a4cdadf197.png)
(1)若
,求
;
(2)若
是
的必要条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870c406c542fcfa425c6b1a4cdadf197.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9321649453ceea20f0fb991333602c0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3eb5935678e432e6f1f3180bfdb3175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-01-31更新
|
121次组卷
|
2卷引用:江西省部分学校2023-2024学年高一上学期1月期末教学质量检测数学试题
解题方法
8 . 计算:
(1)
;
(2)求函数
的定义域.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdba66162f1db362d57038d6138fd1a4.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d52400df33b6bf2de776e679ab79fd.png)
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解题方法
9 . 设集合
,
.
(1)若
时,求
;
(2)若
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1af82d7e99db8e52d7264c8d2643e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29a0615c1d74e908138641562ea2584f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
.
(1)求
的定义域;
(2)判断
的奇偶性并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd29282f21313e2281eeaa7c3faccaf.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次