Questions

• More About Polynomials Understand the concepts of the greatest common divisor and the least common multiple of polynomials

  $9a^{2}b$、$12a^{4}b^{3}$ 及 $15a^{6}$ 的最小公倍數為

  2016

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

  圖中的圖像顯示 $x$ 與 $\log _{9} y$ 之間的線性關係。若 $y=a b^{x}$, 則 $b=$

  

  2016

• Laws of Integral Indices

  $\mathrm{BC} 000 \mathrm{DE} 000000_{16}=$

  2016

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

  設 $u=\frac{7}{a+i}$ 及 $v=\frac{7}{a-i}$，其中 $a$ 為一實數。下列何者必為正確？ I. $u v$ 為一有理數。 II. $u$ 的實部等於 $v$ 的實部。 III. $\frac{1}{u}$ 的虛部等於 $\frac{1}{v}$ 的虛部。

  2016

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

  在圖中，$PQ$ 及 $SR$ 均平行於 $x$ 軸。若 $(x, y)$ 為陰影區域 $PQRS$（包括邊界在內）中的一點，則 $7y-5x+3$ 於哪一點達至其最大值？

  

  2016

• Arithmetic and Geometric Sequences and Their Summations Understand the concept and the properties of geometric sequences Understand the general term of a geometric sequence

  設 $a_{n}$ 為一等比數列的第 $n$ 項。若 $a_{3}=21$ 及 $a_{7}=189$, 則下列何者必為正確? I. 該數列的公比小於 1 。 II. 該數列的某些項為無理數。 III. 該數列的首 99 項之和大於 $3 \times 10^{24}$ 。

  2016

• 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

  設 $a$ 及 $b$ 均為常數。若圖中所示為 $y=a \cos 2 x^{\circ}$ 的圖像, 則

  

  2016

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

  當 $0^{\circ} \leq \theta \leq 360^{\circ}$ 時，方程式 $5 \sin ^{2} \theta+\sin \theta-4=0$ 有幾個解？

  2016

• 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, $A B C D E F G H$ 為一長方體。 $A C$ 與 $B D$ 相交於 $P$ 。$Q$ 為 $C H$ 上的一點使得 $C Q=9 \mathrm{~cm}$及 $Q H=15 \mathrm{~cm}$ 。求 $\sin \angle P F Q$ 。

  

  2016

• Basic Properties of Circles Understand the angle properties of a circle Understand the properties of tangents to a circle and angles in the alternate segments

  在圖中，$AC$ 為圓 $ABCD$ 的一直徑。$PB$ 及 $PD$ 均為該圓的切線。$AD$ 的延線與 $BC$ 的延線相交於 $Q$。若 $\angle BPD=68^\circ$，則 $\angle AQB=$？

  

  2016