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填空题是高考数学试题的基本题型之一。主要考查考生的基础知识和基本技能,其特点是只要求写出正确答案,不需要写出其推理或运算过程。选择合理、简捷、巧妙的解法是提高填空题得分率的有效措施。本文以近年来高考题为例,介绍解填空题的几种简捷方法和技巧。 一、直接法 即就是直接从题设条件出发,运用数学概念、公式、定理等,通过计算或推理而得出正确答案。 例1(’95全国高考题)函数y=sin(x-(π/6))cosx的最小值是____。 分析:先对函数式变形为正弦型函数,应用所学结论快速解答。
Filling in the blank is one of the basic questions in the mathematics test for college entrance examinations. Mainly examines examinee’s basic knowledge and basic skill, its characteristic is only requires to write the correct answer, does not need to write its reasoning or the operation process. Choosing a reasonable, simple, and clever solution is an effective measure to increase the score rate of fill-in questions. This article takes the college entrance examination question in recent years as an example to introduce several simple methods and techniques to solve the empty questions. First, the direct method That is, starting directly from the conditions of the title, using mathematical concepts, formulas, theorems, etc., through the calculation or reasoning to get the correct answer. Example 1 (’95 national college entrance examination question) The minimum value of the function y=sin(x-(π/6))cosx is ____. Analysis: First, the functional type is transformed into a sine type function, and a quick answer is obtained by applying the learned results.