已知数轴上四点A,B,C,D的坐标分别是-4,-2,c,d

3个回答

  • 设c点的坐标是x₁,d点的坐标是₂

    (1) c - (-4) = c + 4 = 5, c = 1

    (2) |BD|² = 36, |d - (-2)|² = 36

    (d + 2)² = 36, d² + 4d - 32 = 0

    (d + 8)(d - 4) = 0

    d₁= 4 (舍去,因为与A点坐标相同)

    d₂= -8

    (3) ∵向量AC = -3向量AD

    ∴c + 4 = -3(d + 4)

    ∴d - (c + 4) = d + 3(d + 4)

    d - c = 4d + 16

    3(d - c) = 12(d + 4)

    ∴3CD = 12(d + 4)

    这部分题目有误.