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

  $8^{222} \cdot 5^{666}=$

  2016

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

  若 $\frac{a}{x}+\frac{b}{y}=3$，則 $x=$

  2016

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

  $16-(2x-3y)^{2}=$

  2016

• Approximation and Errors acquire further concepts and skills of rounding off numbers to a required number of significant figures use scientific notation in practical problems

  $0.0765403=$

  2016

• More About Equations Use the algebraic method to solve simultaneous equations in two unknowns, one linear and one quadratic Solve problems involving equations which can be transformed into quadratic equations

  若 $4 \alpha+\beta=7 \alpha+3 \beta=5$, 則 $\beta=$

  2016

• More About Polynomials Understand the remainder theorem Understand the factor theorem

  設 $\mathrm{f}(x)=4 x^{3}+k x+3$，其中 $k$ 為一常數。若 $\mathrm{f}(x)$ 可被 $2 x+1$ 整除，求當 $\mathrm{f}(x)$ 除以 $x+1$ 時的餘數。

  2016

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

  $-5x>21-2x$ 及 $6x-18<0$ 的解為

  2016

• Quadratic Equations in One Unknown Understand relations between the discriminant of a quadratic equation and the nature of its roots Solve quadratic equations by the quadratic formula

  若 $k$ 為一常數，使得二次方程式 $x^{2}+kx+8k+36=0$ 有相等的根，則 $k=$？

  2016

• 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

  若 $-1<a<0$，則下列何者可表示 $y=(ax+1)^{2}+a$ 的圖像？

  2016

• Using Percentages understand the meaning of percentages and percentage changes apply percentages to solve problems involving simple andcompound interests, growth and depreciation.

  漢林的月薪比文俊高25%，而文俊的月薪比佩怡低25%。已知漢林的月薪為$33360元。佩怡的月薪為多少？

  2016