如图 ,一次函数y=1/3x+b的图像与x轴相交于点A(6,0),与y轴相交于点B,点C在y轴的

1个回答

  • (1) x = 6,y = 6/3 + b = 2 + b = 0,b = -2

    y = x/3 - 2

    B(0,-2)

    C(0,c),c > 0

    BC = c -(-2) = c + 2 = 5,c = 3

    C(0,3)

    (2)图自己画,有两种可能:

    (a) AD//BC,CD = AB

    AB² = (-2)² + 6² = 40

    D(6,d)

    CD² = (0 - 6)² + (3 - d)² = 36 + (3 - d)² = 40

    d = 1 (舍去d = 5,此时ABCD为平行四边形)

    D(6,1)

    (b) CD//BA,BC = AD

    BC² = 25

    CD的方程:y = x/3 + 3

    D(d,d/3 + 3)

    AD² = (d - 6)² + (d/3+ 3- 0)² = 25

    d² - 9d + 18 = (d - 3)(d - 6) = 0

    d = 3 (舍去d = 6,此时ABCD为平行四边形)

    D(3,4)