200分求一道数学题,最好能教下这种题目应该怎么求,有懂英文的高手么Change the polar coordinates to rectangular coordinates.(Enter your answers as ordered pairs.)(a) (19,派/3)求(x,y)=(b) (−9,3派/4)求(x,y)=
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![200分求一道数学题,最好能教下这种题目应该怎么求,有懂英文的高手么Change the polar coordinates to rectangular coordinates.(Enter your answers as ordered pairs.)(a) (19,派/3)求(x,y)=(b) (−9,3派/4)求(x,y)=](/uploads/image/z/5338393-25-3.jpg?t=200%E5%88%86%E6%B1%82%E4%B8%80%E9%81%93%E6%95%B0%E5%AD%A6%E9%A2%98%2C%E6%9C%80%E5%A5%BD%E8%83%BD%E6%95%99%E4%B8%8B%E8%BF%99%E7%A7%8D%E9%A2%98%E7%9B%AE%E5%BA%94%E8%AF%A5%E6%80%8E%E4%B9%88%E6%B1%82%2C%E6%9C%89%E6%87%82%E8%8B%B1%E6%96%87%E7%9A%84%E9%AB%98%E6%89%8B%E4%B9%88Change+the+polar+coordinates+to+rectangular+coordinates.%28Enter+your+answers+as+ordered+pairs.%29%28a%29+%2819%2C%E6%B4%BE%2F3%29%E6%B1%82%28x%2Cy%29%3D%28b%29+%28%26%238722%3B9%2C3%E6%B4%BE%2F4%29%E6%B1%82%28x%2Cy%29%3D)
200分求一道数学题,最好能教下这种题目应该怎么求,有懂英文的高手么Change the polar coordinates to rectangular coordinates.(Enter your answers as ordered pairs.)(a) (19,派/3)求(x,y)=(b) (−9,3派/4)求(x,y)=
200分求一道数学题,最好能教下这种题目应该怎么求,有懂英文的高手么
Change the polar coordinates to rectangular coordinates.(Enter your answers as ordered pairs.)
(a)
(19,派/3)
求(x,y)=
(b)
(−9,3派/4)
求(x,y)=
200分求一道数学题,最好能教下这种题目应该怎么求,有懂英文的高手么Change the polar coordinates to rectangular coordinates.(Enter your answers as ordered pairs.)(a) (19,派/3)求(x,y)=(b) (−9,3派/4)求(x,y)=
极坐标转换为直角坐标
(a)
(19,派/3)
(x,y)=(19cosπ/3,19sinπ/3)=(19/2,19√3/2)
(b)
(−9,3派/4)
(x,y)=(-9cos3π/4,-9sin3π/4)=(9√2/2,-9√2/2)
规律:
直角坐标(x,y)=(极值cos角度,极值sin角度)
这题的意思是把下面的极坐标转换成直角坐标 ,最后要写成(x,y)的形式
根据他们之间的关系:直角坐标(x,y)=(极值cos角度,极值sin角度)
(a)ρ=19;θ=派/3
x=ρcosθ =19cos派/3 =9.5; y=ρsinθ=9.5*根号3
(x, y)=(9.59.5*根号3)
(b)ρ=-9;θ=3派/4
...
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这题的意思是把下面的极坐标转换成直角坐标 ,最后要写成(x,y)的形式
根据他们之间的关系:直角坐标(x,y)=(极值cos角度,极值sin角度)
(a)ρ=19;θ=派/3
x=ρcosθ =19cos派/3 =9.5; y=ρsinθ=9.5*根号3
(x, y)=(9.59.5*根号3)
(b)ρ=-9;θ=3派/4
x=ρcosθ =-9cos3派/4 ; y=ρsinθ =-9sin3派/4
(x,y)=(9√2/2,-9√2/2)
收起
(a)
(19, π/3)
求(x, y)=
x = 19cosπ/3 = 19/2
y = 19sinπ/3 =19√3/2
(b)
(−9, 3π/4)
求(x, y)=
x = -9cos3π/4 = 9√2/2
y = -9sin3π/4 = -9√2/2
19.258*/-15222.45
难
该题是求极坐标到直角坐标的变换。 极坐标用(r,θ)表示,直角坐标用(x,y)表示,如图 极坐标r轴和直角坐标x周重合,所以 x=r*cosθ y=r*sinθ (a) (x,y)=(19*cos(pi/3), 19*sin(pi/3) (b) r是负的有点奇怪哦,不过也是一样的算法,自己解决吧