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一条弦所对的的圆周角的两种情况
错,应该是互补或相等。
同弦所对圆周角有2种情况
1、是同弧所对的圆周角
∵定理一条弧所对的圆周角等于它所对的圆心角的一半
又∵一条弧只对应1个圆心角
∴同弧所对的圆周角相等,等于它所对的圆心角的一半
2、不同弧所对的圆周角
∵定理一条弧所对的圆周角等于它所对的圆心角的一半
∴一条弧所对的圆周角等于圆心角的一半
而令一条弧所对的圆周角等于(360度-前一条弧所对的圆心角)的一半
∴两条弧所对的圆周角等于(前一条弧所对的圆心角+360度-前一条弧所对的圆心角)的一半
∴两条弧所对的圆周角等于180度
∴不同弧所对的圆周角互补
∴同弦所对圆周角互补或相等