题目内容
如图,一次函数
与反比例函数
在第一象限的图象交于点B,且点B的横坐标为1,过点B作
轴的垂线,C为垂足,若
,求一次函数和反比例函数的解析式.





∵一次函数
过点
,且点
的横坐标为1,
∴
即
轴,且

解得
,∴
∴一次函数的解析式为
又∵
过点
,
∴反比例函数的解析式为



∴





解得


∴一次函数的解析式为

又∵



∴反比例函数的解析式为

根据点B的横坐标是1,求出OC的长利用三角形的面积求出b值,点B的坐标即可求出,代入反比例函数即可求出k值,解析式可得.

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