如图,在平面直角坐标系中,过点
的直线
:
与直线
:
相交于点
.
的函数解析式;
(2)设直线
与y轴交于点M,求△BOM的面积;
(3)利用函数图象直接写出当
时,x的取值范围为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b078585c75524673305d270e9eefab89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/197d37a322f0754e556e7b03e1d4e9be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1823c64bfd818545905b3e7bf52955d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42e471098a6e79f4d262532fa4f6ff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(3)利用函数图象直接写出当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d107e87982c143bda301043fabb081a8.png)
更新时间:2022-08-28 19:31:30
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【推荐1】已知
与
成正比例,当
时,
.
(1)求
与
之间的函数解析式;
(2)点
在此函数图象上,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4725178926e7c9976d2b3230ff0ea7a1.png)
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【推荐2】如图1,一个正方体铁块放置在高为
的圆柱形容器内,现以一定的速度往容器内注水,注满容器为止,容器顶部离水面的距离y(
)与注水时间x(
)之间的函数图象如图2所示.
(1)求直线
的函数表达式.
(2)求出容器注满水所需的时间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde46f91426d147781de0502d6ab8701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72026e70f45cea6a7c49881592e73a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f74407cf23f73986c6b26ece5ab5134a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/10/137afa89-b9ed-4c20-8b2a-f6351c988c53.png?resizew=274)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3182db896bc2462331796e2a6108363.png)
(2)求出容器注满水所需的时间.
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【推荐1】如图,在平面直角坐标系中,直线l1:
分别与x轴、y轴交于点B,C,且与直线l2:
交于点A.
(1)分别求出点A,B,C的坐标;
(2)直接写出关于x的不等式
的解集;
(3)若
是线段
上的点且
的面积为12,求点M的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f8d45648012600d3fc932829b72a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38cd2a180ae300bbf2388a709e4c28e6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/9/ad7bf197-b519-48af-932f-87a5ddbf5a87.png?resizew=198)
(1)分别求出点A,B,C的坐标;
(2)直接写出关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8cfdd6c70376a9a13012a9491840e5.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
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【推荐2】如图,直线
与
轴交于点
,与
轴交于点
,将直线
平移到直线
,直线
与
轴交于点
,点
与点
,点
与点
分别是平移前后的对应点,若线段
在平移过程中扫过的图形面积为
,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0289ce4ad5a5050d4675750dc5cde4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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【推荐1】在平面直角坐标系中,直线y=-
x+
与y=
x+3交于点A,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/16/39e7f782-1884-4102-b1aa-752a47c7eca5.png?resizew=292)
(1)求点A的坐标;
(2)根据图象直接写出不等式-
x+
>
x+3的解集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/16/39e7f782-1884-4102-b1aa-752a47c7eca5.png?resizew=292)
(1)求点A的坐标;
(2)根据图象直接写出不等式-
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
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【推荐2】函数
与
的图象如图所示.
(2)求
的面积;
(3)直接写出
时,x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9cfcb262fce0eb135e52ed3b98df0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ce9cad62eecb106304ffe516195c9ba.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532d9de08698f61d7c010805c61a4ec5.png)
(3)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
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