在平面直角坐標(biāo)系xOy中,已知點(diǎn)M(a,b),將經(jīng)過(guò)點(diǎn)(a,0)且垂直于x軸的直線記為直線x=a.將經(jīng)過(guò)點(diǎn)(0,b)且垂直于y軸的直線記為直線y=b.對(duì)于點(diǎn)P給出如下定義,將點(diǎn)P先關(guān)于直線x=a對(duì)稱得到點(diǎn)P′,再將點(diǎn)P′關(guān)于直線y=b對(duì)稱得到點(diǎn)Q,稱點(diǎn)Q為點(diǎn)P關(guān)于M的“對(duì)應(yīng)點(diǎn)”.
已知△ABC頂點(diǎn)坐標(biāo)為A(2,0),B(4,0),C(3,-3).
(1)如圖1,若點(diǎn)M(1,1).
①由材料,將點(diǎn)A(2,0)關(guān)于直線x=1對(duì)稱得到點(diǎn)(0,0),再將點(diǎn)(0,0)關(guān)于直線y=1對(duì)稱得到點(diǎn)(0,2),則點(diǎn)A(2,0)關(guān)于M的“對(duì)應(yīng)點(diǎn)”為(0,2).
請(qǐng)寫出點(diǎn)B(4,0)關(guān)于M的“對(duì)應(yīng)點(diǎn)”:
(-2,2)
(-2,2)
;
點(diǎn)C(3,-3)關(guān)于M的“對(duì)應(yīng)點(diǎn)”:
(-1,5)
(-1,5)
;
②若點(diǎn)P
1(-1,n)和點(diǎn)P
2(-1,n+1)關(guān)于M的“對(duì)應(yīng)點(diǎn)”分別為點(diǎn)Q
1和點(diǎn)Q
2,且線段Q
1Q
2與△ABC的邊沒(méi)有公共點(diǎn),求n的取值范圍;
(2)若點(diǎn)B關(guān)于M的“對(duì)應(yīng)點(diǎn)”為點(diǎn)Q
3,且以A、B、Q
3為頂點(diǎn)的三角形恰與△AOC全等,請(qǐng)寫出所有滿足條件的點(diǎn)M的坐標(biāo):
.