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常见 Geometry 问题
x^2+24x+y^2+10y=-160
x^{2}+24x+y^{2}+10y=-160
(x^2}{36}-\frac{y^2)/4 =1
\frac{x^{2}}{36}-\frac{y^{2}}{4}=1
focus x^2=4y
focus\:x^{2}=4y
(y^2)/4-(x^2)/5 =1
\frac{y^{2}}{4}-\frac{x^{2}}{5}=1
焦点 6.25x^2+16y^2-12.5x+64y-29.75=0
焦点\:6.25x^{2}+16y^{2}-12.5x+64y-29.75=0
4y^2-25x^2=100
4y^{2}-25x^{2}=100
顶点-(x^2)/(10)+(9x)/(10)+11/5
顶点\:-\frac{x^{2}}{10}+\frac{9x}{10}+\frac{11}{5}
x^2+y^2=17
x^{2}+y^{2}=17
y^2=x+1
y^{2}=x+1
焦点 4x^2+9y^2-16x+18y=11
焦点\:4x^{2}+9y^{2}-16x+18y=11
顶点 f(x)=x^2-2x+3
顶点\:f(x)=x^{2}-2x+3
焦点 9x^2+16y^2=144
焦点\:9x^{2}+16y^{2}=144
轴 5x^2+30x+24y=51
轴\:5x^{2}+30x+24y=51
焦点 9x^2+4y^2=36
焦点\:9x^{2}+4y^{2}=36
顶点 f(x)=x^2+5
顶点\:f(x)=x^{2}+5
9x^2+y^2=9
9x^{2}+y^{2}=9
x^2=-20y
x^{2}=-20y
x^2+y^2=81
x^{2}+y^{2}=81
焦点 (x^2)/4+((y+4)^2)/(25)=1
焦点\:\frac{x^{2}}{4}+\frac{(y+4)^{2}}{25}=1
焦点 (y^2)/4-x^2=1
焦点\:\frac{y^{2}}{4}-x^{2}=1
(y^2}{16}-\frac{x^2)/9 =1
\frac{y^{2}}{16}-\frac{x^{2}}{9}=1
顶点 (x^2)/9+(y^2)/4 =1
顶点\:\frac{x^{2}}{9}+\frac{y^{2}}{4}=1
焦点 (x^2)/9-(y^2)/(16)=1
焦点\:\frac{x^{2}}{9}-\frac{y^{2}}{16}=1
y^2-12y-4x+28=0
y^{2}-12y-4x+28=0
-2y^2+x-4y+1=0
-2y^{2}+x-4y+1=0
焦点 (x^2)/9-(y^2)/4 =1
焦点\:\frac{x^{2}}{9}-\frac{y^{2}}{4}=1
x+y^2=4
x+y^{2}=4
焦点 y^2=-28x
焦点\:y^{2}=-28x
焦点 (x^2}{25}-\frac{y^2)/9 =1
焦点\:\frac{x^{2}}{25}-\frac{y^{2}}{9}=1
x=y^2-2
x=y^{2}-2
y^2-12y+4x+4=0
y^{2}-12y+4x+4=0
x=y^2-4y
x=y^{2}-4y
准线 y^2=-9x
准线\:y^{2}=-9x
顶点 9x^2-16y^2=144
顶点\:9x^{2}-16y^{2}=144
y^2=-9x
y^{2}=-9x
准线 y^2=20x
准线\:y^{2}=20x
顶点 f(x)=3x^2-12x+4
顶点\:f(x)=3x^{2}-12x+4
16x^2+9y^2=144
16x^{2}+9y^{2}=144
顶点 f(x)=x^2-3x+2
顶点\:f(x)=x^{2}-3x+2
顶点 f(x)=x^2+3x-4
顶点\:f(x)=x^{2}+3x-4
x^2+4y^2=16
x^{2}+4y^{2}=16
y^2=-28x
y^{2}=-28x
(x^2)/5+(y^2)/9 =1
\frac{x^{2}}{5}+\frac{y^{2}}{9}=1
x^2+y^2-6y=0
x^{2}+y^{2}-6y=0
x^2+2y^2-8y=0
x^{2}+2y^{2}-8y=0
焦点 x^2-y^2=4
焦点\:x^{2}-y^{2}=4
x^2+y^2+4x-18y+81=0
x^{2}+y^{2}+4x-18y+81=0
准线 y^2+6y-2x+13=0
准线\:y^{2}+6y-2x+13=0
顶点 (x^2)/(49)+(y^2)/(16)=1
顶点\:\frac{x^{2}}{49}+\frac{y^{2}}{16}=1
顶点 f(x)=x^2+2x-8
顶点\:f(x)=x^{2}+2x-8
(x^2}{36}-\frac{y^2)/9 =1
\frac{x^{2}}{36}-\frac{y^{2}}{9}=1
轴 y=x^2
轴\:y=x^{2}
顶点 f(x)=x^2-4x-12
顶点\:f(x)=x^{2}-4x-12
25y^2-36(x-8)^2=900
25y^{2}-36(x-8)^{2}=900
x^2+y^2-4=0
x^{2}+y^{2}-4=0
焦点 x=-1/2 (y+3)^2+1
焦点\:x=-\frac{1}{2}(y+3)^{2}+1
渐近线 (x^2}{16}-\frac{y^2)/9 =1
渐近线\:\frac{x^{2}}{16}-\frac{y^{2}}{9}=1
顶点 x^2=20y
顶点\:x^{2}=20y
4x^2+9y^2=36
4x^{2}+9y^{2}=36
focus x^2=-12y
focus\:x^{2}=-12y
3x^2+6y^2=18
3x^{2}+6y^{2}=18
x^2=-12y
x^{2}=-12y
y^2=4x
y^{2}=4x
x^2=-8y
x^{2}=-8y
y^2=-25x
y^{2}=-25x
焦点 9x^2+y^2=9
焦点\:9x^{2}+y^{2}=9
顶点 (x^2)/4-(y^2)/(16)=1
顶点\:\frac{x^{2}}{4}-\frac{y^{2}}{16}=1
顶点 f(x)=x^2+4x-5
顶点\:f(x)=x^{2}+4x-5
y^2=16x
y^{2}=16x
顶点 x^2+9y^2+6x-90y+225=0
顶点\:x^{2}+9y^{2}+6x-90y+225=0
(x^2}{25}-\frac{y^2)/9 =1
\frac{x^{2}}{25}-\frac{y^{2}}{9}=1
(x^2}{49}+\frac{y^2)/9 =1
\frac{x^{2}}{49}+\frac{y^{2}}{9}=1
y^2-x^2=1
y^{2}-x^{2}=1
x^2+4y^2-6x+20y-2=0
x^{2}+4y^{2}-6x+20y-2=0
离心率 (x^2)/(25)+(y^2)/(16)=1
离心率\:\frac{x^{2}}{25}+\frac{y^{2}}{16}=1
((x-5)^2)/(12)-((y+6)^2)/(17)=1
\frac{(x-5)^{2}}{12}-\frac{(y+6)^{2}}{17}=1
-36y=x^2
-36y=x^{2}
焦点 5x^2+7y^2=35
焦点\:5x^{2}+7y^{2}=35
((x+3)^2}{25}-\frac{(y-4)^2)/9 =1
\frac{(x+3)^{2}}{25}-\frac{(y-4)^{2}}{9}=1
y^2=-24x
y^{2}=-24x
16x^2-96x+144+25y^2=400
16x^{2}-96x+144+25y^{2}=400
准线 x^2=20y
准线\:x^{2}=20y
顶点 x^2=4y
顶点\:x^{2}=4y
x^2+y^2=8
x^{2}+y^{2}=8
x^2-6x+y^2-32y=0
x^{2}-6x+y^{2}-32y=0
(y-2)^2=8(x-1)
(y-2)^{2}=8(x-1)
(y^2)/9-(x^2)/4 =1
\frac{y^{2}}{9}-\frac{x^{2}}{4}=1
准线 y=3x^2
准线\:y=3x^{2}
(x^2)/4+(y^2)/9 =1
\frac{x^{2}}{4}+\frac{y^{2}}{9}=1
((x-1)^2)/(25)+((y-3)^2)/(16)=1
\frac{(x-1)^{2}}{25}+\frac{(y-3)^{2}}{16}=1
9x^2-16y^2+36x+32y-124=0
9x^{2}-16y^{2}+36x+32y-124=0
顶点 6x^2+12y-18=0
顶点\:6x^{2}+12y-18=0
complete the square x^2+8y+2x-23=0
complete\:the\:square\:x^{2}+8y+2x-23=0
焦点 (x^2)/9+(y^2)/4 =1
焦点\:\frac{x^{2}}{9}+\frac{y^{2}}{4}=1
顶点 f(x)=-2x^2
顶点\:f(x)=-2x^{2}
x^2+2y^2=4
x^{2}+2y^{2}=4
x^2+4y^2=4
x^{2}+4y^{2}=4
x^2+4x+y^2-6y=-4
x^{2}+4x+y^{2}-6y=-4
focus x^2+x+1
focus\:x^{2}+x+1
顶点 (x^2}{16}+\frac{y^2)/9 =1
顶点\:\frac{x^{2}}{16}+\frac{y^{2}}{9}=1
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