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精英家教網 > 初中英語 > 題目詳情
(本小題滿分10分)
在平面直角坐標系xOy中,點A(-1,-2)、B(2,3)、C(-2,-1).
(1)求以線段AB、AC為鄰邊的平行四邊形兩條對角線的長;
(2)設實數t滿足(=0,求t的值.
(1);(2).解析:
(1)先求出,然后可以求出平行四邊形的對角線對應的向量的模分別為,
(2)先求出的坐標,然后利用(=0,建立關于t的方程,從而求得t的值.
解:(1)方法一:由題設知,則
……2分
所以
故所求的兩條對角線的長分別為……5分
(2)由題設知:=(-2,-1),.……7分
由(=0,得:
從而所以……10分
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