Questions

• 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

  若 $\frac{2}{u}+\frac{3}{v}=4$，則 $u=$

  2022

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

  $60$ 名男演員和 $40$ 名女演員的平均體重為 $57 \mathrm{~kg}$ 。若男演員的平均體重為 $63 \mathrm{~kg}$ ，則女演員的平均體重為多少？

  2022

• 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

  若$x=\frac{2}{1+z}-y$，則$z=$

  Premium 2024

• More About Equations Solve problems involving equations which can be transformed into quadratic equations Perform addition, subtraction, multiplication, and division of complex numbers

  定義 $z_{1}=\frac{2 k+i}{2-i}$ 和 $z_{2}=\frac{7+k i}{1+2 i}$，其中 $k$ 是一個實數。如果 $z_{1}+z_{2}$ 的實部是 12，那麼 $z_{1}-z_{2}$ 的虛部是

  2024

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

  應該加入多少公升的20%酒精溶液到20公升的50%酒精溶液中，才能製成30%的酒精溶液？

  2024

• More About Equations Solve equations (including fractional, exponential, logarithmic, and trigonometric equations) which can be transformed into quadratic equations

  在區間 \(0^\circ \leq x < 360^\circ\) 內解三角函數方程式：\[ \sin^2(x) - \sin(x) - 2 = 0 \]

  2024

• More About Equations Use the algebraic method to solve simultaneous equations in two unknowns, one linear and one quadratic

  給定線性方程式 \( y = 2x + 3 \) 和二次方程式 \( y = x^2 + kx + 1 \)，找出 \( k \) 的範圍，使得該系統有實根。

  2024

• More About Equations Use the algebraic method to solve simultaneous equations in two unknowns, one linear and one quadratic

  解以下方程組以求 \( x \) 和 \( y \)：1. \( y = x^2 + 2x + 1 \)2. \( 2x + y = 5 \)

  2024

• More About Equations Use the algebraic method to solve simultaneous equations in two unknowns, one linear and one quadratic

  解以下方程組以求 \(x\) 和 \(y\):1. \( y = x^2 + 3x + 2 \)2. \( y = 2x + 4 \)

  2024

• More About Equations Solve equations (including fractional, exponential, logarithmic, and trigonometric equations) which can be transformed into quadratic equations

  解以下分數方程式以求 \(x\)：\[\frac{2x + 3}{x - 1} - \frac{x + 1}{x + 2} = 1\]

  2024