题目内容
已知：如图，在平面直角坐标系
中，直线AB分别与
轴交于点B、A，与反比例函数的图象分别交于点C、D，
轴于点E，
．
(1).求该反比例函数的解析式；
(2).求直线AB的解析式
解：（1）
，
．
轴于点
．
，
．···································································
（1分）
点
的坐标为
．···················································································
（2分）
设反比例函数的解析式为
．
将点的坐标代入，得
，
．···········································································································
（3分）
该反比例函数的解析式为
．···································································
（4分）
（2）
，
．························································································
（5分）
，
，
．························································································
（6分）
设直线
的解析式为
．
将点
的坐标分别代入，得
解得
·······································································································
（7分）
直线的解析式为
． …………（8分）
【解析】略
如图，在平面直角坐标系中，直
如图，在平面直角坐标系中，原点O处有一乒乓球发射器向空中发射乒乓球，乒乓球飞行路线是一条抛物线，在地面上落点落在X轴上为点B．有人在线段OB上点C（靠点B一侧）竖直向上摆放无盖的圆柱形桶，试图让乒乓球落入桶内．已知OB=4米，OC=3米，乒乓球飞行最大高度MN=5米，圆柱形桶的直径为0.5，高为0.3米（乒乓球的体积和圆柱形桶的厚度忽略不计）．
