23-24高一上·广东深圳·期中
名校
解题方法
1 . 给定函数
,
,
.用
表示
,
中的较大者,即
.
(1)请写出函数
的函数解析式,
(2)画出函数
在
上的图象,并写出函数
的单调区间(不用证明)和值域;
(3)若
,则求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7343e8f9118952329c5c1072caa9b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c4473159277aed64ea96c4af087954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.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/0d08113f348ee3409e25687093914af2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/4/8de33e76-504c-49d8-9fb1-22cda317882b.png?resizew=170)
(1)请写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e99bebf8db0d314aacb2cb1f09bf48c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3859cd3de4d6d485df050b0f5321d6c6.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6abc791ee78b985fe878f99514c05c9.png)
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2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d8858bed68ffdfdb7b5d56ae532b0a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/411a0303-94d2-43d6-b8e4-1a713cdf99a1.png?resizew=247)
(1)求
的值;
(2)在网格中画出函数
的图象并写出
的值域;
(3)若方程
恰有三个实根,求
的取值范围(直接写出答案即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d8858bed68ffdfdb7b5d56ae532b0a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/411a0303-94d2-43d6-b8e4-1a713cdf99a1.png?resizew=247)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4819055661bc129583ed7b39067302.png)
(2)在网格中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c342d52fc26cc550a45b80756903bee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
3 . 已知函数
的解析式
.
(1)求
;
(2)若
,求a的值;
(3)画出
的图象,并写出函数的单调区间和值域(直接写出结果即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26296ca1cb65ba1f0c49df8adfe483ab.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe561b2dcc4f0f68fbca0b8cf4cecc5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e28c6cbcc46821ebf88a38fa8d6e6c.png)
(3)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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解题方法
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb0f330d9c9c974c5111b5a4c39ce81.png)
(1)若
,求实数
的值;
(2)请用铅笔画出函数的图象并写出函数
在区间
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb0f330d9c9c974c5111b5a4c39ce81.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07dd463b37d2795bfcbd7fae0dabdb31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)请用铅笔画出函数的图象并写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99185e48ab98b6757a2b9bb5aff7d0cc.png)
您最近一年使用:0次
名校
5 . 已知函数
.
(1)请在平面直角坐标系中,画出函数
的草图;
(2)写出函数
的单调区间;
(3)若
,请根据函数
的草图,写出实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3288dc9f6447e82d5768b95a59af2682.png)
(1)请在平面直角坐标系中,画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4a6086887a89e5a3c8ecd0a2b796dc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2020-12-03更新
|
261次组卷
|
4卷引用:广西崇左高级中学2020-2021学年高一12月月考数学试题
名校
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150ac0c760770f38595a320b68baf6e5.png)
(1)在下面的坐标系中,作出函数的图象并写出单调区间;
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/150ac0c760770f38595a320b68baf6e5.png)
(1)在下面的坐标系中,作出函数的图象并写出单调区间;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04042cd29185f7f48399495d7df371e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/23/17801ce6-ba45-42a2-ba6d-eb1243bbadfa.png?resizew=198)
您最近一年使用:0次
解题方法
7 . 作出函数
的图象,若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1976627942e9776ccc83f496594da88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706a52dbb920ef07e62fdf73f47162df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019高一·浙江·专题练习
名校
8 . 已知函数
,其中
.
(1)当
时,画出函数
的图像,并写出
的单调区间;
(2)若
,求满足条件所有的
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6fc70d95bcdc1b38592d1d05ab2f12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2725a89d93c791f7a0098f4964587905.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b5a3cfe818649a035d9990f0cdd69c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-01-06更新
|
241次组卷
|
3卷引用:【新东方】2019新中心五地017高中数学
(已下线)【新东方】2019新中心五地017高中数学浙江省衢州四校2019-2020学年高一上学期期中联考数学试题四川省成都市成华区成都市第四十九中学校2020-2021学年高一上学期10月月考数学试题
名校
9 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/2019/11/9/2330300665757696/2364997806841856/STEM/4902c3c2a8db40269008aee424da5b56.png?resizew=187)
(1)求
;
(2)在直角坐标系中画出
的图象;
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/844f6833faa3a5f8aef195727b77e4da.png)
![](https://img.xkw.com/dksih/QBM/2019/11/9/2330300665757696/2364997806841856/STEM/4902c3c2a8db40269008aee424da5b56.png?resizew=187)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9799b602b8481068315eef74c72b8e19.png)
(2)在直角坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87ff9ca56355a6e830e21e0e9def545e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-12-28更新
|
260次组卷
|
2卷引用:海南省海口市第四中学2019-2020学年高一上学期期中数学试题
10 . 已知
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/11addb8b-2ff1-4689-852d-74f8ebd184fd.png?resizew=254)
(1)若
,求a的值;
(2)在给定的平面直角坐标系中画出函数
图象,并写出函数
的值域、单调区间;
(3)若方程
有三个实数根,求实数b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ee31c6a67c5db902012541354eb0c4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/19/11addb8b-2ff1-4689-852d-74f8ebd184fd.png?resizew=254)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b78c96cff005da36f58b4d9cbf804f8.png)
(2)在给定的平面直角坐标系中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a856548b20797287df5b0f6de0511bd.png)
您最近一年使用:0次