[ 東京工業大学 1971 年 ４ ]
xy
平面の点P ( , ) x y
にx y u xy, vによってuv平面の点Q ( , ) u v
を対応させる。点P
が 4 点(0, 0), (cos , 0), (cos , sin ), (0, sin )
O A B C
を頂点とする4辺形の内部および周上を動くとき，次の問に答えよ。ただし
0
2
とする。(1)
Q
の存在範囲を図示し，その面積S ( )
を求めよ。(2)
Q S () OABC (0,0),(cos,0),(cos,sin),(0,sin) xy P (,) xy Q (,) uv P
1
0
0
全文
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