在三角形ABC中,abc分别是角ABC的对边,a2+c2-b2=-ac,(1)求角B(2)若b=根号13,a+c=4,求三角形面积
人气:324 ℃ 时间:2019-08-20 15:26:42
解答
(1)∵a²+c²-b²=-ac根据余弦定理cosB=(a²+c²-b²)/(2ac)=-ac/(2ac)=-1/2∵B是三角形内角∴B=120º(2)∵b=√13,cosB=-1/2根据余弦定理b²=a²+c²-2accosB∴a²+c...
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