Questions

• Basic Properties of Circles Understand the properties of chords and arcs of a circle Understand the angle properties of a circle

  圖中，$O$ 為圓 $A B C D E F$ 的圓心。$\triangle P Q R$ 與該圓相交於 $A$、$B$、$C$、$D$、$E$ 及 $F$。若 $\angle Q P R=38^{\circ}$ 及 $A B=C D=E F$，則 $\angle Q O R=$多少？

  

  2014

• Transformation and Symmetry recognize reflectional and rotational symmetries in 2-dimensional (2-D) shapes

  若一正$n$邊形的內角比外角大 $100 ^{\circ}$，則下列何者正確？ I. $n$ 的值為 10 。 II. 一外角均為 $40^{\circ}$ III. 該多邊形的反射對稱軸的數目為 9 。

  2014

• Introduction to Coordinates

  點 $P$ 的直角坐標為 $(-1, \sqrt{3})$。若 $P$ 對 $x$ 軸作反射，則它的像的極座標為

  2014

• Loci Describe and sketch the locus of points satisfying given conditions Describe the locus of points with algebraic equations

  直線 $L_{1}$ 及直線 $L_{2}$ 的方程分別爲 $2 x+3 y=5$ 及 $4 x+6 y=7$ 。若 $P$ 爲直角坐標本面上的一動點使得由 $P$ 至 $L_{1}$ 的垂直距離等於由 $P$ 至 $L_{2}$ 的垂直距離, 則 $P$ 的軌跡爲一

  2014

• Equations of Straight Lines Understand the equation of a straight line Understand the possible intersection of two straight lines

  圖中, 該兩直線相交於正 $y$ 軸上的一點。下列何者正確? $\begin{array}{ll} \text { I. } a<0 \\ \text { II. } c>0\\ \text{III.} b=d \end{array}$

  

  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

  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

• Quadratic Equations in One Unknown Solve problems involving quadratic equations Understand relations between the roots and coefficients, form equations using these relations

  一盒子中有 $m$ 個黃球及 20 個黑球。若從該盒子中隨機抽出一個球, 則抽出黃球的概率爲 $\frac{1}{m}$ 。求 $m$ 的値。

  2014

• More About Equations Solve problems involving equations which can be transformed into quadratic equations

  25名教師和140名學生的平均身高為150公分。若學生的平均身高為145公分，則教師的平均身高為

  2014

• Rate and Ratio

  下面的圓形圖顯示偉明於某星期的支出。偉明於該星期在衣物上的支出爲 $\$ 240$ 。求他於該星期在交通上的支出。

  

  2014

• Inequalities and Linear Programming Solve compound linear inequalities in one unknown Represent the graphs of linear inequalities in two unknowns in the rectangular coordinate plane

  下面的幹葉圖顯示某巴士內乘客的年齡的分佈。 若上述分佈的分佈域至少為33，則下列何者必為正確？ I. $0 \leq h \leq 3$ II. $3 \leq k \leq 9$ III. $3 \leq k-h \leq 5$

  

  2014