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

  圓 $C_{1}$ 及圓 $C_{2}$ 的方程分別為 $x^{2}+y^{2}+8 x-4 y-5=0$ 及 $2 x^{2}+2 y^{2}+8 x-4 y-5=0$ 。設 $G_{1}$及 $G_{2}$ 分別為 $C_{1}$ 及 $C_{2}$ 的圓心。將原點記為 $O$ 。下列何者正確? I. $G_{1} 、 G_{2}$ 與 $O$ 共線。 II. $C_{1}$ 與 $C_{2}$ 的半徑相等。 III. $O$ 與 $G_{1}$ 及 $G_{2}$ 等距。

  2017

• 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

  已知 $A$ 及 $B$ 為圓 $x^{2}+y^{2}-6 x-4 y-87=0$ 上的兩相異點。設 $P$ 為直角坐標平面上的一動點使得 $A P=B P$ 。 $P$ 的軌跡的方程為 $x+2 y+k=0$, 其中 $k$ 為一常數。求 $k$ 。

  2017

• More About Probability Recognize the notation of set language including union, intersection, and complement Understand the addition law of probability and concepts of mutually exclusive events and complementary events

  下面的棒形圖顯示某群小童在一遊戲中所獲代幣的數目的分佈。若從該群中隨機選出一名小童, 求所選出的小童在該遊戲中獲得少於 5 個代幣的概率。 所獲代幣的數目

  

  2017

• Measures of Dispersion Understand the concepts of range and inter-quartile range Construct and interpret the box-and-whisker diagram to compare data distributions

  下面的框線圖顯示一班學生在某星期的上網時數的分佈。求該分佈的下四分位數。

  

  2017

• Measures of Central Tendency

  考慮以下正整數 : 2 $\quad$ 3 $\quad$ 4 $\quad$ 6 $\quad$ 7 $\quad$ 9 $\quad$ 10 $\quad$ $m$ $\quad$ $n$ 設 $a 、 b$ 及 $c$ 分別為以上正整數的眾數、中位數及分佈域。若以上正整數的平均值為 5 , 則下列何者必為正確? I. $a=2$ II. $b=4$ III. $c=8$

  2017

• Functions and Graphs Understand the features of the graphs of quadratic functions Find the maximum and minimum values of quadratic functions by the algebraic method

  上圖所示為 $y=\mathrm{f}(x)$ 的圖像。若 $\mathrm{g}(x)=\mathrm{f}\left(\frac{x}{2}\right)$, 則下列何者可表示 $y=\mathrm{g}(x)$ 的圖像?

  

  2017

• Exponential and Logarithmic Functions Understand the laws of rational indices

  $8^{3}+8^{19}=$ 的傳統中文翻譯是：$8^{3}+8^{19}=$

  2017

• Functions and Graphs Understand the features of the graphs of quadratic functions

  圖中的圖像顯示 $x$ 與 $\sqrt{y}$ 之間的線性關係。下列何者必為正確?

  

  2017

• Exponential and Logarithmic Functions Solve exponential equations and logarithmic equations Understand the properties of exponential functions and logarithmic functions and recognize the features of their graphs

  若 $\left\{\begin{array}{l}\log _{9} y=x-3 \\ 2\left(\log _{9} y\right)^{2}=4-x\end{array}\right.$, 則 $y=$

  2017

• Quadratic Equations in One Unknown Perform addition, subtraction, multiplication, and division of complex numbers

  若 $k$ 及 $\frac{5}{2-i}+k i$ 均為實數，則 $k=$

  2017