1 . 函数
的解析式为
,值域为
,则符合要求的函数
的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c565889556c2f415ba5c17e1c1ced41c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e565001c699e5e221ed616dd7be2bb83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.16个 | B.945个 | C.2025个 | D.1个 |
您最近一年使用:0次
名校
2 . 下列命题中,正确的有( )个
①对应:
是映射,也是函数;
②若函数
的定义域是(1,2),则函数
的定义域为
;
③幂函数
与
图像有且只有两个交点;
④当
时,方程
恒有两个实根.
①对应:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0560cb1b930e35dd5618e49f24e138e8.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed2dd8a797d6da9c89e858aed9a7da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b92ed9c28b600f6632dbc1f9fb6d5b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d0327b710a920ebef7d6d8b0c2bd5d.png)
③幂函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b026fe3e532108d7a415f5c4f0f1ce12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00c2e96c9e481ee186059474e27bd2e.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a308d842f2e450594b9807c803c2a49e.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
2017-12-05更新
|
799次组卷
|
3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
3 . .
在平面直角坐标系
中,
,映射
将
平面上的点
对应到另一个平面直角坐标系
上的点
,则当点
沿着折线
运动时,在映射
的作用下,动点
的轨迹是( )
在平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1a6ed1f8a9b1df3134b2f73b5ca057f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c56c280bd8a4de0438105948f139d79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a1e00cd5c8a86332e9f33ba8eea6e57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0cc6293cfedec30b124ece908c4c438.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86076e60d1727a012a0eab695dd6914f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2010·福建龙岩·二模
解题方法
4 . 下图展示了一个由区间
到实数集
的映射过程:区间
中的实数
对应数轴上的点
(如图1),将线段
围成一个正方形,使两端点
恰好重合(如图2),
再将这个正方形放在平面直角坐标系中,使其中两个顶点在
轴上,点
的坐标为
(如图3),若图3中直线
与
轴交于点
,则
的象就是
,记作
.
现给出以下命题:
①
;
②
的图象关于点
对称;
③
在
上为常数函数;④
为偶函数.
其中正确命题的个数有 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1156a8b29780810bd472f6d9e11b0e39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1156a8b29780810bd472f6d9e11b0e39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
再将这个正方形放在平面直角坐标系中,使其中两个顶点在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1156a8b29780810bd472f6d9e11b0e39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432aae51854129e8c10f7c34c0c3a79f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efa86ebc892d6b1fc1565139db0a2be1.png)
![](https://img.xkw.com/dksih/QBM/2010/5/19/1569736770420736/1569736775483392/STEM/3f89ecb83e094e879dbe7be2b2f2215d.png?resizew=315)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec65a2bec3d4296c613a80b3ae41d5e.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a812a9b58ccba331cfd21d244329af01.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cceff0e7d103475c3ba9a2712f373185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
其中正确命题的个数有 ( )
A.1 | B.2 | C.3 | D.4 |
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