试题与答案

叙述并证明余弦定理。

题型:解答题

题目:

叙述并证明余弦定理。

答案:

解:余弦定理:三角形任何一边的平方等于其他两边平方的和减去这两边与它们夹角的余弦之积的两倍。

或:在△ABC中,a,b,c为A,B,C的对边,有

证明:如下图,

同理可证

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