已知函数
和
.
(1)在同一坐标系中,画出这两个函数图像:
①当这两个函数的函数值相等时,直接写出x的值;
②当
的函数值大于
的函数值时,直接写出x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e434a6fc177990ab7f2b604c111e1a.png)
(1)在同一坐标系中,画出这两个函数图像:
①当这两个函数的函数值相等时,直接写出x的值;
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e434a6fc177990ab7f2b604c111e1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
更新时间:2022-07-16 08:03:49
|
相似题推荐
解答题-作图题
|
适中
(0.65)
【推荐1】已知一次函数
的图象与反比例函数
的图象相交于点
,
.
![](https://img.xkw.com/dksih/QBM/2023/2/13/3173846581223424/3176038404718592/STEM/7bee6f72d6824a18b318afb12507478c.png?resizew=272)
(1)求一次函数和反比例函数的表达式,并在图中画出这个一次函数的图象;
(2)根据函数图象,直接写出不等式
的解集;
(3)若这个一次函数的图象与
轴交于点C,点D是点C关于x轴的对称点,连接AD,BD,求△ABD的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c567096c756a8e1beebd4740489be2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d49d34012ddf68fb981eb4975ac99b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46add3857ae2ec14b81a23aff532cf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4968be4eedfd345024cb46b83baa22b.png)
![](https://img.xkw.com/dksih/QBM/2023/2/13/3173846581223424/3176038404718592/STEM/7bee6f72d6824a18b318afb12507478c.png?resizew=272)
(1)求一次函数和反比例函数的表达式,并在图中画出这个一次函数的图象;
(2)根据函数图象,直接写出不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d16aafdffe8226ffbfe7b0bf5816095.png)
(3)若这个一次函数的图象与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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解答题-作图题
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适中
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【推荐2】已知直线y=kx+b与直线y=2x+1平行,且过点(1,﹣3).
![](https://img.xkw.com/dksih/QBM/2020/3/13/2418537643532288/2419127909457920/STEM/51d0833ed6194f4f8cdfaffc11bf55b6.png?resizew=228)
(1)求这个一次函数的关系式?
(2)画出函数图象.
(3)该函数图象与两个坐标轴围成的三角形的面积?
![](https://img.xkw.com/dksih/QBM/2020/3/13/2418537643532288/2419127909457920/STEM/51d0833ed6194f4f8cdfaffc11bf55b6.png?resizew=228)
(1)求这个一次函数的关系式?
(2)画出函数图象.
(3)该函数图象与两个坐标轴围成的三角形的面积?
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解答题-问答题
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适中
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【推荐1】如图,在平面直角坐标系中,直线
:
与
轴,
轴分别交于点
,
,直线
:
与
轴,
轴分别交于点
,
,连接
,直线
,
交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/25/eeb5ca96-22af-407d-b62f-28d1b7d48943.png?resizew=193)
(1)求点
的坐标,并直接写出不等式
的解集.
(2)求
的面积.
(3)若点
在直线
上,
为坐标平面内任意一点,试探究:是否存在以点
,
,
,
为顶点的四边形是矩形?若存在,请直接写出点
的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0e212cdbfba6610bc55df2c1a737407.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85bdbaee1c6d92b27ceac6e066cfce36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/25/eeb5ca96-22af-407d-b62f-28d1b7d48943.png?resizew=193)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af13791e7d7d17fc19dfd843b037bfbf.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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解答题-问答题
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名校
【推荐2】如图,已知双曲线
与直线
相交于A、B两点,AC⊥x轴,垂足为C,直线
与x轴交于点D.若
的面积为1,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/1b2d9972-0662-4e57-a7a7-65d071ae32f6.png?resizew=168)
(1)求k的值;
(2)若点B的纵坐标为
,求该直线的函数表达式;
(3)在(2)条件下,直接写出当x为何值时
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07854693dd2e33f66030d6106eb6e0ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/142ff75e5dbc894000100d7870eb0ee5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89c1972246a0a3d1c987d25205dbdd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07280e7bf72dce0cf62a48daf0e2a80e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e533b08fd6f718e160b6bc652eaa1739.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/1b2d9972-0662-4e57-a7a7-65d071ae32f6.png?resizew=168)
(1)求k的值;
(2)若点B的纵坐标为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3fe664611dfb7b26030d483907ead9.png)
(3)在(2)条件下,直接写出当x为何值时
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10182df51ddd0368bdab8fb57d7f28cc.png)
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解答题-作图题
|
适中
(0.65)
【推荐3】某学习小组在综合与实践活动中,研究一元一次不等式、一元一次方程和一次函数的关系课题时,对函数
的图像和性质做了探究.
下面是该学习小组的探究过程,请补充完整;
(1)下表是y与x的几组对应值,请将表格补充完整:
表格中m的值为__________,n的值为___________.
(2)如图,在平面直角坐标系中描点并画出此函数的图像:(提示:先用铅笔画图确定后用签字笔画图)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/24/7ca2154d-8b74-4de3-ac19-c0b82eaf0e34.png?resizew=373)
(3)请观察函数的图像,直接写出如下结论;
①当自变量x________时,函数y随x的增大而增大;
②方程
的解是
____________;
③不等式
的解集为________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a09a0d7d7b2f020c413964170fbd3c.png)
下面是该学习小组的探究过程,请补充完整;
(1)下表是y与x的几组对应值,请将表格补充完整:
x | … | ![]() | ![]() | ![]() | 0 | 1 | 2 | 3 | 4 | 5 | … |
y | … | m | ![]() | ![]() | ![]() | ![]() | 0 | n | 2 | 3 | … |
(2)如图,在平面直角坐标系中描点并画出此函数的图像:(提示:先用铅笔画图确定后用签字笔画图)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/24/7ca2154d-8b74-4de3-ac19-c0b82eaf0e34.png?resizew=373)
(3)请观察函数的图像,直接写出如下结论;
①当自变量x________时,函数y随x的增大而增大;
②方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4093c68143de59505f43d593e7fc8516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
③不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50aeefd2999d462b7081e603cf0e697b.png)
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