论文部分内容阅读
随着高考改革的深入及素质教育的全面展开,数学与物理、化学、生物等学科(本文统称理科)在教学中的联系正在不断增强~([1][2]);与此同时,近些年来高校自主招生的数学学科笔试和面试题中,都出现了一类数学与理科相结合的问题,本文撷取几例并由此谈一些想法.自主招生笔试中的数理结合题,都要求考生具有相关学科的基本知识,并利用数学的方法推导该学科中的某些结论.例1(2011年清华大学等七校联考题)已知质量为a克的圆柱形水杯直立放置(杯底厚度及质量忽略不计),其重心在中轴线中点.装
With the deepening of college entrance examination reform and the full development of quality education, the connection between mathematics and physics, chemistry, biology and other disciplines (referred to as science in this article) has been continuously enhanced in teaching. ([1] [2]) Meanwhile, In recent years, college self-enrollment math written examination and interview questions, there has been a combination of mathematics and science problems, this article to retrieve a few cases and talk about some ideas. Autonomous enrollment written mathematical combination of questions are required Candidates have the basic knowledge of related disciplines, and the use of mathematical methods to derive some of the conclusions of the subject.Example 1 (Tsinghua University in 2011 such as the seven school exam questions) Known to the quality of a gram cylindrical cup upright Thickness and quality ignored), its center of gravity in the mid-point