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Jul 10th 2014, 04:12

如圖，將等邊三角形ＡＢＰ放在一個正方形ＡＸＹＺ內，使得Ｂ在邊ＡＸ上。現將這個三角形ＡＢＰ繞著Ｂ順時針轉動，然後換繞Ｐ而轉，再換Ａ而轉，一直沿正方形的邊做同樣的轉動，直到Ｐ、Ａ和Ｂ全部返回原位。（已知邊長ＡＸ為邊長ＡＢ的２倍）請回答下列問題：

（１）「以Ｂ為順時針轉動」共幾次？

（２）請描繪出頂點Ｐ點在正方形內移動的軌跡？

（３）計算頂點Ｐ點移動的軌跡長度為多少？（圓週率以「π」表示）

因為我沒辦法弄圖片QQ所以只能麻煩大家預覽了

網址: https://fbcdn-sphotos-f-a.akamaihd.net/hphotos-ak-xpf1/t1.0-9/10547533_858857390810452_1256948343171940599_n.jpg

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