Questions

• Exponential and Logarithmic Functions Understand the laws of rational indices Understand the properties of exponential functions and logarithmic functions and recognize the features of their graphs

  $\frac{8^{2n+1}}{4^{3n+1}}=$

  2018

• More About Equations Solve equations (including fractional, exponential, logarithmic, and trigonometric equations) which can be transformed into quadratic equations Solve problems involving equations which can be transformed into quadratic equations

  若 $\frac{\alpha}{1-x}=\frac{\beta}{x}$，則 $x=$

  2018

• More About Polynomials Perform division of polynomials Understand the factor theorem

  $h^{2}-6 h-4 k^{2}-12 k=$

  2018

• More About Equations Solve equations (including fractional, exponential, logarithmic, and trigonometric equations) which can be transformed into quadratic equations Solve problems involving equations which can be transformed into quadratic equations

  $\frac{1}{3x+7}-\frac{1}{3x-7}=$

  2018

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

  下列有關 $y=16-(x-6)^{2}$ 的圖像之敘述, 何者正確?

  2018

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

  圖中, 直線 $L_{1}$ 及直線 $L_{2}$ 的方程分別為 $3x+ay=b$ 及 $cx+y=d$。下列何者正確? I. $ac<3$ II. $ad<b$ III. $bc<3d$

  

  2018

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

  若 $f(x)=3x^2-2x+1$，則 $f(2m-1)=$

  2018

• More About Polynomials Perform division of polynomials Understand the remainder theorem

  設 $\mathrm{g}(x)=x^{8}+a x^{7}+b$，其中 $a$ 及 $b$ 均為常數。若 $\mathrm{g}(x)$ 可被 $x-1$ 整除，求當 $\mathrm{g}(x)$ 除以 $x+1$ 時的餘數。

  2018

• 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

  存款 $100000 美元，年利率 2\%，期限為 3 年，採用複利計算，每月結算一次。請計算到期時的利息，並四捨五入到最接近的元。

  2018

• Variations Understand direct variations and inverse variations, and their applications to solving real-life problems

  設 $a 、 b$ 及 $c$ 均為非零的數。若 $3a=4b$ 及 $a:c=2:5$，則 $\frac{a+3b}{b+3c}=$？

  2018