如圖1,已知?ABCD,AB∥x軸,AB=6,點(diǎn)A的坐標(biāo)為(1,﹣4),點(diǎn)D的坐標(biāo)為(﹣3,4),點(diǎn)B在第四象限,點(diǎn)P是?ABCD邊上的一個動點(diǎn). (1)若點(diǎn)P在邊BC上,PD=CD,求點(diǎn)P的坐標(biāo). (2)若點(diǎn)P在邊AB,AD上,點(diǎn)P關(guān)于坐標(biāo)軸對稱的點(diǎn)Q落在直線y=x﹣1上,求點(diǎn)P的坐標(biāo). (3)若點(diǎn)P在邊AB,AD,CD上,點(diǎn)G是AD與y軸的交點(diǎn),如圖2,過點(diǎn)P作y軸的平行線PM,過點(diǎn)G作x軸的平行線GM,它們相交于點(diǎn)M,將△PGM沿直線PG翻折,當(dāng)點(diǎn)M的對應(yīng)點(diǎn)落在坐標(biāo)軸上時,求點(diǎn)P的坐標(biāo).(直接寫出答案)
考點(diǎn)分析: 一次函數(shù)綜合題. 題干分析: (1)由題意點(diǎn)P與點(diǎn)C重合,可得點(diǎn)P坐標(biāo)為(3,4); (2)分兩種情形①當(dāng)點(diǎn)P在邊AD上時,②當(dāng)點(diǎn)P在邊AB上時,分別列出方程即可解決問題; (3)分三種情形①如圖1中,當(dāng)點(diǎn)P在線段CD上時.②如圖2中,當(dāng)點(diǎn)P在AB上時.③如圖3中,當(dāng)點(diǎn)P在線段AD上時.分別求解即可; |
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