题目内容
用坐标法证明
解:设A(x1,y1)、B(x2,y2)、C(x3,y3).
=(x2-x1,y2-y1),
=(x3-x2,y3-y2),
=(x1-x3,y1-y3),
∴
+
+
=(x2-x1,y2-y1)+(x3-x2,y3-y2)+(x1-x3,y1-y3)=(x2-x1+x3-x2+x1-x3,y2-y1+y3-y2+y1-y3)=(0,0).
∴
+
+
=0.
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题目内容
用坐标法证明
解:设A(x1,y1)、B(x2,y2)、C(x3,y3).
=(x2-x1,y2-y1),
=(x3-x2,y3-y2),
=(x1-x3,y1-y3),
∴
+
+
=(x2-x1,y2-y1)+(x3-x2,y3-y2)+(x1-x3,y1-y3)=(x2-x1+x3-x2+x1-x3,y2-y1+y3-y2+y1-y3)=(0,0).
∴
+
+
=0.