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三角函数是初等数学的重要组成部分,既是高中教学的重点内容,又是从中学到大学继续 深造学习的必备基础学科.三角函数除了具备一般函数的各种性质外,它的周期性及独特的对 称性,再加上系统丰富的三角公式,使其所产生的各种问题丰富多彩,层次分明,变化多端,围绕 三角函数的考题总是以新颖的题型出现,在高考试卷上占据重要位置,成为高考命题的热点.下 面以2004年全国高考各个不同省份的考题为例,说明这种现象.
The trigonometric function is an important part of elementary mathematics, and it is not only the key content of high school teaching, but also an essential basic discipline for continuing to study further from the middle school. Trigonometric function not only has the various properties of general functions, but also its periodicity and uniqueness. The symmetry, coupled with the system’s rich trigonometric formulae, gives rise to a variety of questions that are rich, varied, structured, and varied, with questions around the trigonometric function always appearing as novel questions and occupying an important place in the high test volume. The location has become a hot spot for college entrance examination propositions. The following is an example of the 2004 exams in various provinces of the national college entrance examination to illustrate this phenomenon.