DSEHero

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

若$P$是在直角坐標平面上的一個移動點，使得$P$和點$(20,12)$之間的距離等於5，則$P$的軌跡是一個

2012
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

在圖中，圓的半徑和圓心的坐標分別為 $r$ 和 $(h, k)$。下列哪些是正確的？ I. $h+k>0$ II. $r-h>0$ III. $r-k>0$

2012
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

求$k$的值範圍，使得圓$x^{2}+y^{2}+2x-4y-13=0$與直線$x-y+k=0$在兩個不同點相交。

2012
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$C$的方程式為$2x^{2}+2y^{2}-4x+8y-5=0$。點$P$和$Q$的坐標分別為$(-1,2)$和$(4,0)$。下列哪些是正確的？ I. $C$的半徑是5。 II. $PQ$的中點位於$C$之外。 III. 如果$G$是$C$的中心，那麼$\angle PGQ$是一個銳角。

2013
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

找出$k$的值域，使得圓$x^{2}+y^{2}+2x-2y-7=0$與直線$3x-4y+k=0$相交。

2013
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

設$O$為原點。如果點$A$和$B$的坐標分別為$(0,12)$和$(30,12)$，那麼$\triangle O A B$的外心的$y$坐標是

2013
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

若圓 $x^{2}+y^{2}-8 x+k y-214=0$ 的一直徑通過點 $(6,-5)$ 且該直徑的斜率為 -4，則 $k=$？

2014
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

若直線 $x-y=k$ 與圓 $x^{2}+y^{2}+2 x-4 y-1=0$ 相交於 $A$ 及 $B$ 點，則 $AB$ 線段的中點的 $x$ 坐標為

2014
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 $C$ 通過點 $(0,3)$ 。若 $C$ 的圓心的坐標為 $(-4,3)$, 則 $C$ 的方程為

2015
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

求常數 $k$ 使得圓 $x^{2}+y^{2}+2 x-6 y+k=0$ 與直線 $x+y+4=0$ 只相交於一點。

2015