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数形结合是一种重要的数学思想方法.在数学解题中,可利用图形特性,直观地理解并辅助解决某些数式问题,以形助数;也可通过数式计算,把握某些图形结构或变化趋势,形数分析,以数攻形.数形结合,互补互用,扩展了数学问题的外部特征,使得问题解决得心应手.这里我们主要以近几年高考题为例,考察以直角坐标系联系起来的数形结合方法在解决选择题、填空题中的应用.一、以形助数例1(2012年浙江高考题)设a∈R,若x>0时均有[(a
The combination of number and shape is an important method of mathematics and ideology. In mathematical problem solving, we can make use of the characteristics of figures to intuitively understand and assist in solving some mathematical problems to form aided numbers. We can also use numerical calculations to grasp certain graphical structures Or trend of change, the number of analysis, the number of tapping shape. Combination of shape, complementarity, extended the external characteristics of mathematical problems, making the problem easy to solve. Here we mainly take the college entrance examination in recent years as an example, The number of forms combined with the method to solve the multiple-choice questions, fill in the blank question application. First, to form a few examples (Zhejiang 2012 college entrance examination questions) set a∈R, if x> 0 are [(a