Questions

• 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

  已知 $y$ 為兩部分之和，一部分為常數，而另一部分隨 $x^{2}$ 正變。當 $x=1$ 時，$y=7$，且當 $x=2$ 時，$y=13$。若 $x=3$，則 $y=$？

  2017

• 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

  上圖所示為 $y=\mathrm{f}(x)$ 的圖像。若 $\mathrm{g}(x)=\mathrm{f}\left(\frac{x}{2}\right)$, 則下列何者可表示 $y=\mathrm{g}(x)$ 的圖像?

  

  2017

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

  圖中的圖像顯示 $x$ 與 $\sqrt{y}$ 之間的線性關係。下列何者必為正確?

  

  2017

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

  若 $k$ 及 $\frac{5}{2-i}+k i$ 均為實數，則 $k=$

  2017

• 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

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

  若 $f(x)=3x^2-2x+1$，則 $f(2m-1)=$

  2018

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

  設 $f(x)$ 為二次函數。下圖可表示 $y=f(x)$ 的圖像及

  

  2018

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

  若 $m \neq n$ 且 $2m^{2}+5m=2n^{2}+5n=14$，則 $(m+2)(n+2)=$？

  2018

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

  $\frac{2 i^{12}+3 i^{13}+4 i^{14}+5 i^{15}+6 i^{16}}{1-i}$ 的實部為

  2018

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

  若 $\alpha$ 及 $\beta$ 均為常數使得 $(x-8)(x+\alpha)-6 \equiv(x-9)^{2}+\beta$, 則 $\beta=$

  2019