如圖,在直角坐標(biāo)系xOy中,點(diǎn)P為函數(shù)y=
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131103101221051868954/SYS201311031012210518689007_ST/0.png)
x
2在第一象限內(nèi)的圖象上的任一點(diǎn),點(diǎn)A的坐標(biāo)為(0,1),直線l過B(0,-1)且與x軸平行,過P作y軸的平行線分別交x軸,l于C,Q,連接AQ交x軸于H,直線PH交y軸于R.
(1)求證:H點(diǎn)為線段AQ的中點(diǎn);
(2)求證:①四邊形APQR為平行四邊形;②平行四邊形APQR為菱形;
(3)除P點(diǎn)外,直線PH與拋物線y=
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131103101221051868954/SYS201311031012210518689007_ST/1.png)
x
2有無其它公共點(diǎn)并說明理由.