Questions

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

  設$O$為直角坐標平面上的原點。點$A$關於$y$軸反射到點$B$。如果$OA$的斜率為$m$，那麼$OB$的斜率為

  2024

• Quadratic Equations in One Unknown Solve quadratic equations by the factor method Solve quadratic inequalities in one unknown by the algebraic method

  如果$b$和$c$是正整數，那麼求解$x^{2}-bx+cx-bc\leq0$。

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• 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

  設 $k$ 為一常數。如果 $f(x+k)=x^{2}-k^{2}$，那麼 $f(x)=$

  2024

• Quadratic Equations in One Unknown Solve problems involving quadratic equations

  有多少個正整數滿足不等式 $\frac{1}{6} x^{2}+x+\frac{3}{2} \leq 0$ 和 $-(6x+9)<3x^{2}$？

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• 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

  In the figure, $f(x)=$

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• Quadratic Equations in One Unknown Solve quadratic equations by the factor method Solve problems involving quadratic equations

  若$f(x)=4x^{2}-1$，且$x<\frac{1}{2}$，則$f(f(x))=0$的解為

  2024

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

  下列哪一項關於圖形 $y=c-(cx+1)^{2}$ 的敘述必定為真，其中 $c$ 為非零常數？

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

  如果$i$是虛數單位，那麼$i^{2}(2i-5)$的值是多少？

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

  計算表達式 \( i^2(2\beta i - 4) \)。

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

  \(i^4(4\beta i^3 - 6i + 8) =\)

  2024