Questions

• 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

  圓 $C$ 通過點 $(0,3)$ 。若 $C$ 的圓心的坐標為 $(-4,3)$, 則 $C$ 的方程為

  2015

• More About Probability Recognize the concept and notation of conditional probability Recognize the notation of set language including union, intersection, and complement

  在某遊戲中投擲兩枚均勻的骰子。如果擲出的兩個數字之和為7，則賺得36美元；否則，賺得6美元。求在這個遊戲中賺得的金額的期望值。

  2015

• More About Probability Recognize the notation of set language including union, intersection, and complement Understand the addition law of probability and concepts of mutually exclusive events and complementary events

  下面的棒形圖顯示某班學生擁有錀匙的數目的分佈。求從該班中隨機選出一名學生擁有 3 條錀匙的概率。

  

  2015

• Measures of Dispersion Understand the concepts of range and inter-quartile range Construct and interpret the box-and-whisker diagram to compare data distributions

  下面的框線圖顯示在某學期一些教師的閲書數目的分佈。求該分佈的四分位數間距。

  

  2015

• Measures of Central Tendency

  考慮以下整數 : $\begin{array}{111111111111111}2&2&3&3&3&3&5&5&6&8&9&10&m\end{array}$ 設 $p 、 q$ 及 $r$ 分別為以上整數的平均值、中位數及眾數。若 $3 \leq m \leq 5$, 則下列何者必為正確? I. $p>q$ II. $p>r$ III. $q>r$

  2015

• More About Polynomials Perform addition, subtraction, multiplication, and division of rational functions

  $\frac{1}{x^{2}-2 x+1}-\frac{1}{x^{2}+x-2}=$

  2015

• 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 $\log _{3} x$ 與 $\log _{3} y$ 之間的線性關係。下列何者必為正確?

  

  2015

• Exponential and Logarithmic Functions Understand the laws of rational indices

  $11+2^{6}+2^{10}+2^{11}=$

  2015

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

  設 $k$ 為一常數。若二次方程 $x^{2}+kx-2=0$ 的根為 $\alpha$ 及 $\beta$，則 $\alpha^{2}+\beta^{2}=$

  2015

• 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

  設 $z=(a+5) i^{6}+(a-3) i^{7}$，其中 $a$ 為一實數。若 $z$ 為一實數，則 $a=$

  2015