Hi大家好我是赤蛇,这期介绍一下dse数学中equation of circles的知识点。这期不出完,如果点赞多的话会出下一期。
Forms
Standard Form (Center-radius Form)
圆心:C(h, k)
半径:r
Standard Form: (x-h)2+(y-k)2=r2.
General Form
圆心:(h, k)=(-D/2, -E/2)
半径:r=√[(D/2)2+(E/2)2-F]=√(h2+k2-F)
x2+y2+Dx+Ey+F=0
Different Types of Circles
Consider the radius of a circle C: x2+y2+Dx+Ey+F=0
Real Circle
(D/2)2+(E/2)2-F>0, r>0
Point Circle
(D/2)2+(E/2)2-F=0, r=0
Imaginary Circle
(D/2)2+(E/2)2-F<0, r<0
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