问题
选择题
已知G是△ABC的重心,且a
|
答案
∵G是△ABC的重心
∴
+GA
+GB
=GC 0
∵a
+bGA
+GB
c3
=GC 0
∴a=b=
c3
∴cosC=
=a2+b2-c2 2ab
=3c2+3c2-c2 2
c•3
c3 5 6
故选C.
已知G是△ABC的重心,且a
|
∵G是△ABC的重心
∴
+GA
+GB
=GC 0
∵a
+bGA
+GB
c3
=GC 0
∴a=b=
c3
∴cosC=
=a2+b2-c2 2ab
=3c2+3c2-c2 2
c•3
c3 5 6
故选C.