F.3 MATH (直角坐標幾何)

2009-11-25 6:08 am
求式!!




求下列 △ABC 的周界。 ( 答案準確至 3 位有效數字 )

1. A ( -2 , 3 ) , B ( -2 , -3 ) , C ( 3 , 0 )

( 答案 = 17.7 )




2. A ( 1 , 1 ) , B ( 6 , 2 ) , C ( 3 , 5 )


( 答案 = 13.8 )

回答 (1)

2009-11-25 6:14 am
✔ 最佳答案
(1) AB = 3 - (-3) = 6
AC = √[(-2-3)^2 + (3 - 0)^2] = √(25+9) = 5.83
BC = √[(-2-3)^2 + (-3 - 0)^2] = √(25+9) = 5.83
周界 = 6 + 5.83 + 5.83 = 17.7
(2) AB = √[(1-6)^2 + (1-2)^2] = √(25+1) = 5.10
AC = √[(1-3)^2 + (1-5)^2] = √(4+16) = 4.47
BC = √[(6-3)^2 + (2-5)^2] = √(9+9) = 4.24
周界 = 5.10 + 4.47 + 4.24 = 13.8


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