硬解定理
硬解定理
| y=kx+m | \frac{x^2}{a^2}+\frac{y^2}{b^2}=1 | \frac{x^2}{a^2}-\frac{y^2}{b^2}=1 | \frac{x^2}{a^2}+\frac{y^2}{b^2}=1(x=my+t) |
|---|---|---|---|
| x_1+x_2 | \frac{-2a^2km}{A} | \frac{2a^2km}{A} | y_1+y_2=\frac{-2b^2mt}{A} |
| x_1x_2 | \frac{-a^2(b^2-m^2)}{A} | \frac{-a^2(b^2+m^2)}{A} | y_1y_2=\frac{b^2(t^2-a^2)}{A} |
| \vert x_1-x_2\vert | \frac{2ab\sqrt{A-m^2}}{A} | \frac{2ab\sqrt{A+m^2}}{A} | \vert y_1-y_2\vert=\frac{2ab\sqrt{A-t^2}}{A} |
| A | b^2+a^2k^2 | b^2-a^2k^2 | a^2+b^2m^2 |
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