(a+b+c)/(sinA+sinB+sinC)=2R怎么证明?
来源:学生作业帮助网 编辑:作业帮 时间:2024/05/28 16:37:58
(a+b+c)/(sinA+sinB+sinC)=2R
怎么证明?
正弦定理:a/sinA=b/sinB=c/sinC=2R
(a+b+c)/(sinA+sinB+sinC)=(2R sinA+2R sinB+2RsinC)/(sinA+sinB+sinC)
=2R (sinA+sinB+sinC)/(sinA+sinB+sinC)
=2R
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来源:学生作业帮助网 编辑:作业帮 时间:2024/05/28 16:37:58
(a+b+c)/(sinA+sinB+sinC)=2R
怎么证明?
正弦定理:a/sinA=b/sinB=c/sinC=2R
(a+b+c)/(sinA+sinB+sinC)=(2R sinA+2R sinB+2RsinC)/(sinA+sinB+sinC)
=2R (sinA+sinB+sinC)/(sinA+sinB+sinC)
=2R