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等积式的证明是初中几何中较为重要的一类证明题,它的证明往往涉及许多重要的定理和概念,如相交弦定理、切割线定理、圆心角、圆周角、弦切角等,而这些都是初中几何中的主要内容,其应用也相当广泛。探讨这类题目的证明方法,对掌握、理解和应用有关定理和概念都是有极大益处的。本文主要对圆中的等积式问题予以探讨。等积式的证明分为直接证明与间接证明。下面举例说明。
The proof of isointegration is a more important type of proving problem in junior high school geometry. Its proof often involves many important theorems and concepts, such as intersecting string theorem, cutting line theorem, central angle, circumferential angle, chord angle, etc. These are the main contents of junior high school geometry, and their applications are also quite extensive. Exploring the method of proving this kind of topic is of great benefit to mastering, understanding, and applying the relevant theorems and concepts. This paper mainly discusses the problem of isointegration in circles. The proof of isointegration is divided into direct proof and indirect proof. The following is an example.