以下为您生成一些 SAT 数学选择题的错题示例:
题目 1:If the function f(x) = 2x + 5 and g(x) = 3x - 1, what is the value of f(g(2))?
A. 16
B. 17
C. 18
D. 19
错误选项:选择 A。错误原因是先计算 g(2) = 3×2 - 1 = 5,然后 f(5) = 2×5 + 5 = 15,而不是 16。
题目 2:The area of a circle is 36π square units. What is the circumference of the circle?
A. 6π
B. 12π
C. 18π
D. 24π
错误选项:选择 B。错误在于由面积求出半径为 6,周长应为 2πr = 12π,而不是直接选 B。
题目 3:If 2x + 3y = 12 and x = 3, what is the value of y?
A. 2
B. 3
C. 4
D. 5
错误选项:选择 C。将 x = 3 代入方程得 6 + 3y = 12,解得 y = 2,而不是 4。
题目 4:A rectangular prism has a length of 5 units, a width of 3 units, and a height of 2 units. What is the volume of the prism?
A. 15 cubic units
B. 20 cubic units
C. 30 cubic units
D. 40 cubic units
错误选项:选择 A。体积应为 5×3×2 = 30 立方单位,而不是 15。
题目 5:If the slope of a line is -2 and it passes through the point (1, -3), what is the equation of the line in slope-intercept form?
A. y = -2x - 1
B. y = -2x + 1
C. y = -2x - 5
D. y = -2x + 5
错误选项:选择 D。使用点斜式可得 y - (-3) = -2(x - 1),整理得 y = -2x - 1,而不是 D 选项。