答:經(jīng)過(guò)第2008次跳動(dòng)后.棋子落點(diǎn)與P點(diǎn)的距離為 查看更多

 

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如圖,在平面直角坐標(biāo)系中,一顆棋子從點(diǎn)P處開(kāi)始依次關(guān)于點(diǎn)A、B、C作循環(huán)對(duì)稱(chēng)跳動(dòng),即第一次跳到點(diǎn)P關(guān)于點(diǎn)A的對(duì)稱(chēng)點(diǎn)M處,接著跳到點(diǎn)M關(guān)于點(diǎn)B的對(duì)稱(chēng)點(diǎn)N處,第三次再跳到點(diǎn)N關(guān)于C的對(duì)稱(chēng)精英家教網(wǎng)點(diǎn)處,…如此下去.
(1)在圖中畫(huà)出點(diǎn)M、N,并寫(xiě)出點(diǎn)M、N的坐標(biāo):
 
;
(2)求經(jīng)過(guò)第2008次跳動(dòng)之后,棋子落點(diǎn)與點(diǎn)P的距離.

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如圖,在平面直角坐標(biāo)系中,一顆棋子從點(diǎn)P處開(kāi)始依次關(guān)于點(diǎn)A. B. C作循環(huán)對(duì)稱(chēng)跳動(dòng),即第一次跳到點(diǎn)P關(guān)于點(diǎn)A的對(duì)稱(chēng)點(diǎn)M處,接著跳到點(diǎn)M關(guān)于點(diǎn)B的對(duì)稱(chēng)點(diǎn)N處,第三次再跳到點(diǎn)N關(guān)于C的對(duì)稱(chēng)點(diǎn)處,…。如此下去。
(1)在圖中畫(huà)出點(diǎn)M. N,并寫(xiě)出點(diǎn)M. N的坐標(biāo):_____________ ;
(2)求經(jīng)過(guò)第2008次跳動(dòng)之后,棋子落點(diǎn)與點(diǎn)P的距離。

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如圖,在平面直角坐標(biāo)系中,一顆棋子從點(diǎn)P處開(kāi)始依次關(guān)于點(diǎn)A、B、C作循環(huán)對(duì)稱(chēng)跳動(dòng),即第一次跳到點(diǎn)P關(guān)于點(diǎn)A的對(duì)稱(chēng)點(diǎn)M處,接著跳到點(diǎn)M關(guān)于點(diǎn)B的對(duì)稱(chēng)點(diǎn)N處,第三次再跳到點(diǎn)N關(guān)于C的對(duì)稱(chēng)點(diǎn)處,…如此下去.
(1)在圖中畫(huà)出點(diǎn)M、N,并寫(xiě)出點(diǎn)M、N的坐標(biāo):______;
(2)求經(jīng)過(guò)第2008次跳動(dòng)之后,棋子落點(diǎn)與點(diǎn)P的距離.

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(2008•安徽)如圖,在平面直角坐標(biāo)系中,一顆棋子從點(diǎn)P處開(kāi)始依次關(guān)于點(diǎn)A、B、C作循環(huán)對(duì)稱(chēng)跳動(dòng),即第一次跳到點(diǎn)P關(guān)于點(diǎn)A的對(duì)稱(chēng)點(diǎn)M處,接著跳到點(diǎn)M關(guān)于點(diǎn)B的對(duì)稱(chēng)點(diǎn)N處,第三次再跳到點(diǎn)N關(guān)于C的對(duì)稱(chēng)點(diǎn)處,…如此下去.
(1)在圖中畫(huà)出點(diǎn)M、N,并寫(xiě)出點(diǎn)M、N的坐標(biāo):______;
(2)求經(jīng)過(guò)第2008次跳動(dòng)之后,棋子落點(diǎn)與點(diǎn)P的距離.

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(2008•安徽)如圖,在平面直角坐標(biāo)系中,一顆棋子從點(diǎn)P處開(kāi)始依次關(guān)于點(diǎn)A、B、C作循環(huán)對(duì)稱(chēng)跳動(dòng),即第一次跳到點(diǎn)P關(guān)于點(diǎn)A的對(duì)稱(chēng)點(diǎn)M處,接著跳到點(diǎn)M關(guān)于點(diǎn)B的對(duì)稱(chēng)點(diǎn)N處,第三次再跳到點(diǎn)N關(guān)于C的對(duì)稱(chēng)點(diǎn)處,…如此下去.
(1)在圖中畫(huà)出點(diǎn)M、N,并寫(xiě)出點(diǎn)M、N的坐標(biāo):______;
(2)求經(jīng)過(guò)第2008次跳動(dòng)之后,棋子落點(diǎn)與點(diǎn)P的距離.

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