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中学课本对于角的测量问题的处理,都是从同圆或等圆内中心角和其对弧的关系出发,如果圆的任一段弧可以测量,例如用圆周的1/(360)的弧作为1°,任一段弧都可以用多少度来表示,那末这段弧所对的中心角也可以测量,其度数恰等于对弧的度数,至于根据什么理由保证弧一定可以测量呢?有的课本作为一个公理,有的作为直观的结果,都没有依据逻辑推理的方法予以解决.这样的处理在教学上有其优点,
The processing of the angle measurement problem in the middle school textbooks is based on the relationship between the central angle of the same circle or equal circle and its relationship to the arc. If any arc of the circle can be measured, for example, a 1/(360) arc of circumference is used as 1°, any degree of arc can be expressed by how many degrees, then the central angle of this arc can also be measured, its degree is just equal to the degree of arc, as for what reason to ensure that the arc can measure it? Some textbooks As an axiom, some as an intuitive result are not resolved by logical reasoning. Such a process has its advantages in teaching.