若钝角三角形ABC的三边a
人气:363 ℃ 时间:2019-10-11 06:51:55
解答
a∴A<B<C
ABC成等差数列
2B=A+C
B+A+C=180°
B+2B=180°
B=60°
b^2=a^2+c^2-2accos60°=a^2+c^2-ac
∵(a-c)^2≥0
∴a^2+c^2≥2ac
∴b^2=a^2+c^2-ac≥2ac-ac=ac
∴0<ac/b^2≤1
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