【基础检测】
1.判断下列结论是否正确(请在括号中打“√”或“×”)
(1)若∥,则A,B,C三点共线.( )
(2)在△ABC中,若·<0,则△ABC为钝角三角形.( )
(3)若平面四边形ABCD满足+=0,(-)·=0,则该四边形一定是菱形.( )
(4)设定点A(1,2)与动点P(x,y)满足·=4,则点P的轨迹方程是x+2y-4=0.( )
(5)已知平面直角坐标系内有三个定点A(-2,-1),B(0,10),C(8,0),若动点P满足:=+t(+),t∈R,则点P的轨迹方程是x-y+1=0.( )
[答案] (1)√ (2)× (3)√ (4)√ (5)√
2.[必修4p108A组T5]已知△ABC的三个顶点的坐标分别为A(3,4),B(5,2),C(-1,-4),则该三角形为( )