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当三角知识与其他内容结合在一起时,问题的各种条件就会给反映这些条件的三角表达式施以约束.而三角函数的某些特性(如正弦余弦函数的取值范围为[-1,1]),又会给问题加上一些隐含的约束条件。这样就产生了知识间的相互干扰与限制.发现并处理好这种干扰与限制是正确解答三角综合题的一个关键,也是数学上的难点之一.为解决这个问题,教学中应特别注意以下三种情况的约束.
When the triangular knowledge is combined with other contents, various conditions of the problem will impose constraints on the triangle expressions that reflect these conditions. Some features of the trigonometric function (such as the range of the sine cosine function are [-1 , 1]), and will add some implicit constraints to the problem. This creates a mutual interference and limitation of knowledge. Finding and dealing with this kind of interference and limitation is a key to solving the triangle synthesis problem correctly, and it is also one of the difficulties in mathematics. In order to solve this problem, teaching should pay special attention to the following Three kinds of constraints.