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倍面積の求め方

倍面積の求め方. D ( X 4 ,Y 4 ). X. C ( X 3 ,Y 3 ). A ( X 1 ,Y 1 ). B ( X 2 ,Y 2 ). Y. ( X 1 + X 4 )( Y 4 - Y 1 ). ( X 1 Y 4 - X 1 Y 1 + X 4 Y 4 - X 4 Y 1 ) +  ( X 4 Y 3 - X 4 Y 4 + X 3 Y 3 - X 3 Y 4 ). +   ( X 2 + X 3 )( Y 3 - Y 2 ). ( X 1 + X 2 )( Y 2 - Y 1 ).

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倍面積の求め方

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  1. 倍面積の求め方 D(X4,Y4) X C(X3,Y3) A(X1,Y1) B(X2,Y2) Y

  2. (X1+X4 )( Y4 -Y1) (X1 Y4- X1 Y1 + X4Y4 - X4Y1 ) +  (X4Y3- X4Y4 + X3Y3 - X3Y4 ) +   (X2+X3 )( Y3 -Y2 ) (X1+X2 )( Y2 -Y1) (X1 Y2- X1 Y1 + X2Y2 - X2Y1 ) +  (X2Y3- X2Y2 + X3Y3 - X3Y2 ) D(X4,Y4) X             +  (X4+X3 )( Y3 -Y4 ) C(X3,Y3) (上底+下底)×(高さ) A(X1,Y1) Y X C(X3,Y3) A(X1,Y1) B(X2,Y2) Y

  3. (X1 Y4- X1 Y1 + X4Y4 - X4Y1 ) +  (X4Y3- X4Y4 + X3Y3 - X3Y4 ) (X1 Y2- X1 Y1 + X2Y2 - X2Y1 ) +  (X2Y3- X2Y2 + X3Y3 - X3Y2 ) (X1 Y4- X4Y1 + X4Y3 - X3Y4-X1Y2+ X2Y1 - X2Y3 + X3Y2 )

  4. D(X4,Y4) X C(X3,Y3) A(X1,Y1) B(X2,Y2) Y (X1( Y4 -Y2 )+X2 ( Y1 -Y3 )+X3 ( Y2 -Y4 )+X4 ( Y3 -Y1 ))  n角形の各測点のX座標にその前後の測点のY座標の差をかけたもの Xn(Yn-1-Yn+1)を倍面積という。

  5. D(15,6) X 練習問題 C(8,20) A(5,5) Y B(-2,13)

  6. X C(41.395,76.858) A(0,0) Y B(-11.052,129.766)

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