解题方法
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0576667ce25856bddf57f9c99230669.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/24/8df63fd6-f010-4eaa-9f9c-1d2676a890fd.png?resizew=266)
(1)画出函数
的图象;
(2)判断函数
在区间
上的单调性,并用定义证明;
(3)若
,当
取何值时,只有唯一的
值与之对应?(直接写出结果)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0576667ce25856bddf57f9c99230669.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/24/8df63fd6-f010-4eaa-9f9c-1d2676a890fd.png?resizew=266)
(1)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4a4b368fc617cbc67c23c5c4129fe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2 . 已知函数f(x)=|1
|,实数a、b满足a<b.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/30af09b5-90c4-44bd-8f8b-0fc710557ad6.png?resizew=188)
(1)在平面直角坐标系中画出函数f(x)的图象;
(2)若函数在区间[a、b]上的值域为[
,3],求a+b的值;
(3)若函数f(x)的定义域是[a,b],值域是[ma,mb](m>0),求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34f1aafc15663ecd9104d305b4001721.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/30af09b5-90c4-44bd-8f8b-0fc710557ad6.png?resizew=188)
(1)在平面直角坐标系中画出函数f(x)的图象;
(2)若函数在区间[a、b]上的值域为[
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
(3)若函数f(x)的定义域是[a,b],值域是[ma,mb](m>0),求实数m的取值范围.
您最近一年使用:0次
2022-01-04更新
|
203次组卷
|
4卷引用:江苏省南京市中华中学2020-2021学年高一上学期期中数学试题
江苏省南京市中华中学2020-2021学年高一上学期期中数学试题(已下线)专题2.18 函数的图象-重难点题型精练-2022年高考数学一轮复习举一反三系列(新高考地区专用)新疆新源县第二中学2022届高三上学期第一次月考数学(理)试题四川省广安市第二中学校2022-2023学年高一上学期期末考试数学试题
解题方法
3 . 已知函数
,其中
为实数.
(1)当
时,画出函数
的图象,并直接写出递增区间;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/c332c767-c2ff-459f-919f-a084cd2998fc.png?resizew=162)
(2)判断函数
的奇偶性,并说明理由;
(3)若
在
时的取值范围为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a960c992628ae3b85cae0a04112067ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/c332c767-c2ff-459f-919f-a084cd2998fc.png?resizew=162)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998485ffeb46a0412ff1a0f814429257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89652dd1a1f5233e6f132f4567fadd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 已知函数
,
,
,用
表示
,
中的较小者,记为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/8321256b-b433-4b8c-b518-70a9f07518b6.png?resizew=261)
(1)写出函数
的解析式,并画出它的图象;
(2)当
时,若函数
的最大值为
,求实数
的取值集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757f48efd9a569a73e212fa8ac37ae9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4006cb607c3244dc446595067696510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.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/f169611259ea1cc39fd5894d46a4ba81.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/8321256b-b433-4b8c-b518-70a9f07518b6.png?resizew=261)
(1)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93aab9ef95dd922ffb4d5a5fb8c01bef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b426608a06477f57cb994f4d00e4465d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4eeba4b517d1a5833caea7508aaf214.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2021-11-17更新
|
371次组卷
|
2卷引用:江苏省苏州市2021-2022学年高一上学期期中数学试题
名校
解题方法
5 . 已知函数
.
(1)解不等式
(2)画出函数f(x)的大致图像(不需要列表),并指出其单调区间;
(3)若直线
与
的图像无交点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c39deb9574f6be3552cc4366792d12d.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(2)画出函数f(x)的大致图像(不需要列表),并指出其单调区间;
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46111e4d12c21798aa213c0d7804c2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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6 . 已知函数
是奇函数.
(1)求
的值;
(2)画出函数
的图像;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/7/74d156b2-8e2b-4928-8960-df78d6b53d58.png?resizew=214)
(3)设
,根据图像若函数
在区间
上最大值与最小值的差为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b94cde385647c38744a95492c249327.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/7/74d156b2-8e2b-4928-8960-df78d6b53d58.png?resizew=214)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b964abb7b72520b5ba13bf8c39c4b97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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7 . 已知函数
,
.
![](https://img.xkw.com/dksih/QBM/2018/12/12/2095152004063232/2096473903079424/STEM/93f1afc819b74b9584fd1fd08412c2ad.png?resizew=114)
在给定坐标系中作出函数
的图象;
若
在
上的最大值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9cc884edfee8d516de3395aa8528ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc83da7688b42daff9a602ec8fda86c.png)
![](https://img.xkw.com/dksih/QBM/2018/12/12/2095152004063232/2096473903079424/STEM/93f1afc819b74b9584fd1fd08412c2ad.png?resizew=114)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd330acca8e17f5ff9aca1f0f312df50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8139e29a9e113064bd899a026e3da9fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3d2bf84ccf36bed396be2b3d166fa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdcce9914d42ab1dc31be3f62b1bec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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