反比例函数y1=
(x>0)的图象与一次函数y2=﹣x+b的图象交于A,B两点,其中A(1,2)
(1)求这两个函数解析式;
(2)在y轴上求作一点P,使PA+PB的值最小,并直接写出此时点P的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abb3a62e46296c417261156b51ec6b4.png)
(1)求这两个函数解析式;
(2)在y轴上求作一点P,使PA+PB的值最小,并直接写出此时点P的坐标.
![](https://img.xkw.com/dksih/QBM/2018/11/18/2078164894474240/2083853160497152/STEM/b968b0f0667d4056897dff7db0d2d729.png?resizew=167)
2018·山东济宁·二模 查看更多[7]
更新时间:2018-11-26 13:53:01
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适中
(0.65)
【推荐1】如图,正比例函数
的图象与一次函数
的图象交于点
,一次函数
图象与
轴负半轴交于点
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/19/5052a40a-52da-4ab3-ae0a-b80551f26c3b.png?resizew=233)
(1)求点B坐标;
(2)设
中
边上的高为h,求h的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02430f83e4f662e788d234da3c56ce2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f0385a34634dc389c744bd5dfe2311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/19/5052a40a-52da-4ab3-ae0a-b80551f26c3b.png?resizew=233)
(1)求点B坐标;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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【推荐2】一次函数y1=k(x-1)与一次函数y2=-k(x-3)的图像交于点P,其中k≠0.
(1)求点P的横坐标.
(2)点A(a,y)和点B(b,y)分别在y1和y2的图像上,若a=5,求b的值.
(3)点C(x,m)和点D(x,n)分别在y1和y2的图像上,若m-n>k,当k>0时,求x的取值范围.
(1)求点P的横坐标.
(2)点A(a,y)和点B(b,y)分别在y1和y2的图像上,若a=5,求b的值.
(3)点C(x,m)和点D(x,n)分别在y1和y2的图像上,若m-n>k,当k>0时,求x的取值范围.
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【推荐1】如图,一次函数
的图象与反比例函数
的图象相交于点
与
轴负半轴交于点
.
(2)连接
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05621b18b7ffc991d9f30380e2e08fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e86bf730e2ab6b54a41f7dd78775fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88c0ceb160e5bf25e81a1f958c2aa1d.png)
(2)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
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【推荐2】如图,直线
交
轴于点
,交
轴于点
,与反比例函数
的图象交于
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/15270da3-7ffe-4388-a751-6b5cc4f7fd7f.png?resizew=273)
(1)求
的值;
(2)根据图象直接写出
时,
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac3396e15a4823f6d6d9d64db20596c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40630a669f4eedf626bc24851df10c85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d105b74c40724a7da626e7c42afbf5fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0d355653140005cd7a4ca56701c759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b70be3bfb8dfc873a2bfb6817d6e01d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/15270da3-7ffe-4388-a751-6b5cc4f7fd7f.png?resizew=273)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)根据图象直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ac67e9a909472ab852d38d2ec66a1e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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