某工厂要赶制一批抗震救灾用的大型活动板房.如图.板房一面的形状是由矩形和抛物线的一部分组成.矩形长为12m.抛物线拱高为5.6m. (1)在如图所示的平面直角坐标系中.求抛物线的表达式. (2)现需在抛物线AOB的区域内安装几扇窗户.窗户的底边在AB上.每扇窗户宽1.5m.高1.6m.相邻窗户之间的间距均为0.8m.左右两边窗户的窗角所在的点到抛物线的水平距离至少为0.8m.请计算最多可安装几扇这样的窗户? 24.设抛物线的表达式为 1分 点在抛物线的图象上. ∴ ······························································ 3分 ∴抛物线的表达式为············································································· 4分 (2)设窗户上边所在直线交抛物线于C.D两点.D点坐标为(k.t) 已知窗户高1.6m.∴··························································· 5分 ············································································ 6分 ∴(m)·············································································· 7分 又设最多可安装n扇窗户 ∴····················································································· 9分 . 答:最多可安装4扇窗户.···················································································· 10分 (本题不要求学生画出4个表示窗户的小矩形) 查看更多

 

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