Questions

• More about Areas and Volumes calculate arc lengths and areas of sectors understand and use the formulas for volumes of pyramids, circular cones and spheres

  一直立圓錐體的高及底半徑分別為 $12 \mathrm{~cm}$ 及 $9 \mathrm{~cm}$ 。圖中所示的平截頭體是從該圓錐體切去其上部分而成。該平截頭體的高為 $8 \mathrm{~cm}$ 。求該平截頭體的體積。

  

  2015

• Congruence and Similarity

  圖中, $A B C D$ 為一平行四邊形。 $E$ 為 $C D$ 上的一點使得 $D E: E C=2: 3$。 $A D$ 的延線與 $B E$ 的延線相交於 $F$, 而 $A E$ 的延線與 $B C$ 的延線相交於 $G$ 。若 $\triangle D E F$ 的面積為 $8 \mathrm{~cm}^{2}$, 則 $\triangle C E G$ 的面積為

  

  2015

• More About Trigonometry Understand the functions sine, cosine, and tangent, their graphs and properties Solve the trigonometric equations a sin θ = b, a cos θ = b, a tan θ = b (0° to 360°) and other equations

  圖中, $\frac{A D}{A B}=$

  

  2015

• More About Trigonometry Understand the functions sine, cosine, and tangent, their graphs and properties Solve the trigonometric equations a sin θ = b, a cos θ = b, a tan θ = b (0° to 360°) and other equations

  $\frac{\cos 180^{\circ}}{1+\sin \left(90^{\circ}+\theta\right)}+\frac{\cos 360^{\circ}}{1+\sin \left(270^{\circ}+\theta\right)}=$

  2015

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

  圖中，$AD$ 為圓 $ABCDE$ 的一直徑。若 $\angle BAD=58^\circ$ 及 $BC=CD$，則 $\angle AEC=$多少度？

  

  2015

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

  圓 $A B C D$ 的直徑 $A C$ 與直徑 $B D$ 相交於點 $E$ 。若 $\angle A E B=90^{\circ}$ 及 $A C=24 \mathrm{~cm}$, 則 $\triangle A E B$ 的面積為

  2015

• Angles related with Lines and Rectilinear Figures recognize different types of angles explore and use the angle properties associated with intersecting lines and parallel lines

  若某正多邊形的一內角為該多邊形的一外角的 5 倍，則下列何者正確？ I. 該多邊形的每一內角均為 $150^{\circ}$ 。 II. 該多邊形的對角線數目為 $6$ 。 III. 該多邊形的旋轉對稱的折式數目為 $6$ 。

  2015

• Introduction to Coordinates

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

  2015

• Loci Understand the concept of loci Describe and sketch the locus of points satisfying given conditions

  點 $A$ 及點 $B$ 的坐標分別為 $(2,0)$ 及 $(1,5)$ 。若 $P$ 為直角坐標平面上的一動點使得 $P$ 與 $A$ 及 $B$ 等距, 則 $P$ 的軌跡是

  2015

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

  圓中，直線 \(L_{1}\) 及直線 \(L_{2}\) 的方程分別為 \(ax=1\) 及 \(bx+cy=1\)。下列何者正確? I. \(a<0\) II. \(a<b\) III. \(c>0\)

  

  2015