Questions

• Equations of Circles Understand the equation of a circle Find the coordinates of the intersections of a straight line and a circle and understand the possible intersection of a straight line and a circle

  點$A, B$和$C$的座標分別是$(-a, 0),(a, 0)$和$(0,-p)$，其中$a>p>0$。如果$\triangle ABC$的外心的$y$座標是$y$，那麼

  Premium 2024

• Equations of Circles Understand the equation of a circle Find the coordinates of the intersections of a straight line and a circle and understand the possible intersection of a straight line and a circle

  圓$C_{1}$的方程式為$3x^{2}+3y^{2}-6x+12y+14=0$，$C_{2}$的方程式為$x^{2}+y^{2}-2x+2y+1=0$。下列哪些是正確的？ I. $C_{1}$的中心位於$C_{2}$上。 II. $C_{2}$的面積是$C_{1}$的3倍。 III. $C_{1}$和$C_{2}$的中心之間的距離大於5。

  2024

• Equations of Circles Find the coordinates of the intersections of a straight line and a circle and understand the possible intersection of a straight line and a circle

  設圓方程式：\[ C: x^2 + y^2 + 2x - 4y - 4 = 0 \]和線性方程式：\[ L: x - y - 2 = 0 \]找出\(L\)和\(C\)交點的坐標是什麼？

  2024

• Equations of Circles Find the coordinates of the intersections of a straight line and a circle and understand the possible intersection of a straight line and a circle

  設圓的方程式 \( C: x^2 + y^2 + 6x + 8y + k = 0 \) 和線性方程式 \( L: 2x - 3y + 4 = 0 \)，找出 \( k \) 的範圍，使得直線與圓相交於兩點。

  2024