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由于统编数学教材第一册中,有些习题涉及到解三角不等式,学生颇感困难,用单位圆和图象解决这类问题比较简便,兹介绍于下,供大家参考。 (一)不等式中仅含有正弦与余弦解决这类题利用单位圆是方便的。其一般步骤是:作三角函数线,画阴影区,写特解,求通解。求特解时,注意正负角的选择,求通解时,注意周期。例1.求y=log_(sinx)(cosx+1/2)的定义域解;仅须
As the first volume of the mathematics textbook of the unified mathematics involves some solutions to the triangle inequalities, students find it difficult to solve such problems with the unit circle and the image, and are introduced here for your reference. (a) Inequalities Contain only sine and cosine Solving such problems using a unit circle is convenient. The general steps are: make trigonometric function lines, draw shaded areas, write special solutions, find general solutions. When seeking special solutions, pay attention to the choice of positive and negative angles. When seeking common solutions, pay attention to the period. Example 1. Find the domain definition solution for y=log_(sinx)(cosx+1/2); only