作为世界顶级名校,牛津和剑桥大学的面试试题一直要求保密,坊间的实际真题内容很少。但之前一名剑桥面试官将他若干年出过的考题(可能未来不会再用)公布在网络上,以供同学们参考。试题主要针对的是数学和物理方向专业学生,对于想冲刺牛剑的同学们具有很高的参考价值。如果您想了解英国留学申请更多信息,请参考:剑桥大学本科面试如何准备。
剑桥大学本科面试真题(物理数学方向):
1 You're been running on a treadmill for a time T. Your current speed is v and the treadmill says your average speed is u. Find an expression for the rate at which your average speed is changing.
你在跑步机上跑步的时间是t。你的当前速度是v,跑步机上显示你的平均速度是u。求出你的平均速度变化率的表达式。
2 How does the tension in a rope vary as it winds around a cylinder with coefficient of static friction μ?
当绳子缠绕静摩擦系数为μ的圆柱时,绳子上的张力如何变化?
3 A dipole is a pair of opposite charges. Two parallel dipoles are separated by a distance much greater than their size. When the separation is perpendicular to the dipoles' axis, do the dipoles attract or repel? What about when their separation is parallel to their axis?
偶极子是一对相反的电荷。两个平行偶极子之间的距离远远大于它们的尺寸。当分离垂直于偶极子的轴时,偶极子是吸引还是排斥?如果它们的分离平行于轴呢?
4 Sketch this function. Find the gradient and sketch it. Find where the gradient has a minimum.