Questions

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

  點 $A$ 、點 $B$ 及點 $C$ 的坐標分別為 $(3,3)$ 、 $(5,8)$ 及 $(9,2)$ 。設 $P$ 為一點使得 $AP$ 為 $\triangle ABC$ 的中線。求通過 $A$ 及 $P$ 的直線的方程。

  2021

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

  設 $O$ 為原點。點 $P$ 的坐標為 $(26,-18)$ 。若 $\triangle O P Q$ 的垂心的坐標為 $(21,-3)$, 則 $Q$的 $y$ 坐標為

  2021

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

  $3y-5<5y+1\leq11$ 的解為

  2022

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

  圖中所示為直線 $mx+ny=3$ 的圖像。下列何者正確? I. $m<0$ II. $n>3$ III. $m+n=0$

  2022

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

  考慮以下的不等式組： $$ \left\{\begin{array}{l} 2 x+y \geq 8 \\ 2 x+3 y \geq 16 \\ 4 x+3 y \leq 22 \end{array}\right. $$ 設 $R$ 為表示以上的不等式組的解之區域。若 $(x, y)$ 為 $R$ 中的一點, 則 $7 x+6 y$ 的最小值為

  2022

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

  解 $-7<1-2x<x+4$ 的解為

  2024

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

  考慮以下不等式系統： $\left\{\begin{array}{c}0 \leq y+2 \leq 4 \\ 4 x+y-6 \geq 0 \\ x+y-5 \leq 0\end{array}\right.$ 設 $D$ 為上述不等式系統解的區域。找出常數 $k$，使得當 $(x, y)$ 為位於 $D$ 上的點時，$5 x-2 y+k$ 的最大值為 42。

  2024

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

  三角形的三邊方程式為 $x-4y+27=0$、$x+2y-15=0$ 和 $y=k$，其中 $k$ 為常數。如果三角形的垂心位於 $x$ 軸上，則 $k=$

  2024

• Coordinate Geometry of Straight Lines

  在直角坐標平面上，直線 $L: a x+b y-c=0$ 分別在 $x$ 軸和 $y$ 軸上截得 $A$ 點和 $B$ 點。$\triangle O A B$ 的面積是

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

  在圖中，已知平行線$L_{1}$和$L_{2}$的方程式分別為$a x+2 y+b=0$和$p x+y+q=0$。下列哪些是正確的？ I. $a<0$ II. $b>2 q$ III. $b<6 p$

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