圆的普通方程指的是一般方程还是标准方程？ 圆的一般方程教案是初中还是高中知识
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\u4f8b1\uff1a\u5c06\u4e00\u822c\u65b9\u7a0bx^2+y^2+ax+by+c=0 \u5316\u4e3a\u6807\u51c6\u65b9\u7a0b\u3002
\u89e3\uff1ax^2+y^2+ax+by+c=0
=>\uff08x^2+ax)+(y^2+by)=-c
=> (x^2+ax+a^2/4)+(y^2+by+b^2/4)=-c+a^2/4+b^2/4
=> (x+a/2)^2+(y+b/2)=(a^2+b^2-4c^2)/4
\u6807\u51c6\u65b9\u7a0b\uff1a(x+a/2)^2+(y+b/2)^2=[\u221a(a^2+b^2-4c^2)/2]^2\u5373\u4e3a\u6240\u6c42\uff1b
\u5176\u4e2d\u5706\u5fc3\u5750\u6807\uff08-a/2 ,-b/2) \uff1b \u534a\u5f84r=\u221a(a^2+b^2-4c^2)/2\u3002
\u4f8b2\uff1a\u5c06\u6807\u51c6\u65b9\u7a0b(x-2)^2+(x-3)^2=4\u5316\u4e3a\u4e00\u822c\u65b9\u7a0b\u3002
\u89e3\uff1a(x-2)^2+(y-3)^2=4
=> (x^2+4-4x)+(y^2+9-6y)=4
=> (x^2+4-4x)+(y^2+9-6y)-4=0
=>x^2+y^2-4x-6y+9=0
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圆的普通方程指的是一般方程，标准方程是圆心在原点的方程。
一般方程，标准方程是经过加工过后的。
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