已知双曲线y=x=k/x与直线y=1/4x相交于A,B两点,BD⊥x轴于D (1)如图1,当点已知双曲线y=x=k/x与直线y=1/4x相交于A,B两点,BD⊥x轴于D (1)如图1,当点d发坐标为(-8,0)时,求k的值及点a的标.(2)如图2,
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/04 02:30:37
![已知双曲线y=x=k/x与直线y=1/4x相交于A,B两点,BD⊥x轴于D (1)如图1,当点已知双曲线y=x=k/x与直线y=1/4x相交于A,B两点,BD⊥x轴于D (1)如图1,当点d发坐标为(-8,0)时,求k的值及点a的标.(2)如图2,](/uploads/image/z/6104478-30-8.jpg?t=%E5%B7%B2%E7%9F%A5%E5%8F%8C%E6%9B%B2%E7%BA%BFy%3Dx%3Dk%2Fx%E4%B8%8E%E7%9B%B4%E7%BA%BFy%3D1%2F4x%E7%9B%B8%E4%BA%A4%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%2CBD%E2%8A%A5x%E8%BD%B4%E4%BA%8ED+%EF%BC%881%EF%BC%89%E5%A6%82%E5%9B%BE1%2C%E5%BD%93%E7%82%B9%E5%B7%B2%E7%9F%A5%E5%8F%8C%E6%9B%B2%E7%BA%BFy%3Dx%3Dk%2Fx%E4%B8%8E%E7%9B%B4%E7%BA%BFy%3D1%2F4x%E7%9B%B8%E4%BA%A4%E4%BA%8EA%2CB%E4%B8%A4%E7%82%B9%2CBD%E2%8A%A5x%E8%BD%B4%E4%BA%8ED+%EF%BC%881%EF%BC%89%E5%A6%82%E5%9B%BE1%2C%E5%BD%93%E7%82%B9d%E5%8F%91%E5%9D%90%E6%A0%87%E4%B8%BA%EF%BC%88-8%2C0%EF%BC%89%E6%97%B6%2C%E6%B1%82k%E7%9A%84%E5%80%BC%E5%8F%8A%E7%82%B9a%E7%9A%84%E6%A0%87.%EF%BC%882%EF%BC%89%E5%A6%82%E5%9B%BE2%2C)
已知双曲线y=x=k/x与直线y=1/4x相交于A,B两点,BD⊥x轴于D (1)如图1,当点已知双曲线y=x=k/x与直线y=1/4x相交于A,B两点,BD⊥x轴于D (1)如图1,当点d发坐标为(-8,0)时,求k的值及点a的标.(2)如图2,
已知双曲线y=x=k/x与直线y=1/4x相交于A,B两点,BD⊥x轴于D (1)如图1,当点
已知双曲线y=x=k/x与直线y=1/4x相交于A,B两点,BD⊥x轴于D
(1)如图1,当点d发坐标为(-8,0)时,求k的值及点a的标.
(2)如图2,过y轴负半轴上的点n作nc∥x轴交双曲线于点E,交直线DB于点c.当B是CD的中点、四边形obce的面积为4个平方单位时,求k的值及a、b的坐标
已知双曲线y=x=k/x与直线y=1/4x相交于A,B两点,BD⊥x轴于D (1)如图1,当点已知双曲线y=x=k/x与直线y=1/4x相交于A,B两点,BD⊥x轴于D (1)如图1,当点d发坐标为(-8,0)时,求k的值及点a的标.(2)如图2,
(1)
D(-8,0),B(-8,-2)
k = (-8)(-2) = 16
A,B关于原点对称,A(8,2)
(2)
B(b,b/4),C(b,b/2),E(2k/b,b/2),N(0,b/2),b < 0
四边形obce的面积 = 梯形BCNO的面积 - 三角形ONE的面积
= (1/2)(b/4 + b/2)*b - (1/2)(b/2)(2k/b)
= 3b²/8 - k/2 = 4 (i)
显然B(b,k/b),b/4 = k/b,b² = 4k
(i) = 3k/2 - k/2 = k = 4
b = -4
B(-4,-1),A(4,1)