1931年上海交通大学科学及工程学院入学考试(高考)数学试题

1931年上海交通大学试题

科学及工程学院

一、HIGHER ALGEBRA

1. Factor the following expressions:

二、TRIGONOMETRY

9.Find all the positive angles less than 380°which satisfy the equation

三、ANALYTIC GEOMETRY

12.Given the parabola y2=4x and the linex=2+ecosay=-4+ecosB，find the condition which cosaand cosB must satisfy if the line meets the parabola in but one point.