直线y=-1/ 2 x-1与x轴交于点A,与y轴交于点B,将此直线向上平移4个单位后与双曲线y=k x (x>0)交于C、Dcd=2ab 求详解
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/01 00:49:02
![直线y=-1/ 2 x-1与x轴交于点A,与y轴交于点B,将此直线向上平移4个单位后与双曲线y=k x (x>0)交于C、Dcd=2ab 求详解](/uploads/image/z/10283022-54-2.jpg?t=%E7%9B%B4%E7%BA%BFy%3D-1%2F+2+x-1%E4%B8%8Ex%E8%BD%B4%E4%BA%A4%E4%BA%8E%E7%82%B9A%2C%E4%B8%8Ey%E8%BD%B4%E4%BA%A4%E4%BA%8E%E7%82%B9B%2C%E5%B0%86%E6%AD%A4%E7%9B%B4%E7%BA%BF%E5%90%91%E4%B8%8A%E5%B9%B3%E7%A7%BB4%E4%B8%AA%E5%8D%95%E4%BD%8D%E5%90%8E%E4%B8%8E%E5%8F%8C%E6%9B%B2%E7%BA%BFy%3Dk+x+%EF%BC%88x%EF%BC%9E0%EF%BC%89%E4%BA%A4%E4%BA%8EC%E3%80%81Dcd%3D2ab++++%E6%B1%82%E8%AF%A6%E8%A7%A3)
直线y=-1/ 2 x-1与x轴交于点A,与y轴交于点B,将此直线向上平移4个单位后与双曲线y=k x (x>0)交于C、Dcd=2ab 求详解
直线y=-1/ 2 x-1与x轴交于点A,与y轴交于点B,将此直线向上平移4个单位后与双曲线y=k x (x>0)交于C、Dcd=2ab 求详解
直线y=-1/ 2 x-1与x轴交于点A,与y轴交于点B,将此直线向上平移4个单位后与双曲线y=k x (x>0)交于C、Dcd=2ab 求详解
y = -x/2 - 1,A(-2,0),B(0,-1),AB = √5
向上平移4个单位后,变为y = -x/2 - 1 + 4 = -x/2 + 3
C(c,3- c/2),D(d,3 - d/2)
c(3 - c/2) = d(3 - d/2) = k
3(c - d) = (1/2)(c + d)(c - d)
c ≠ d,c + d = 6,d = 6 - c
D(6 - c,c/2)
CD² = (c - 6 + c)² + (3 - c/2 - c/2)² = 5(c - 3)² = (2AB)² = 20
(c - 3)² = 4
c = 1,d = 5 (按图,舍去c = 5,d = 1)
C(1,5/2)
双曲线y= (5/2)/x = 5/(2x)
你想问什么?cd=2ab是已知的还是要求证的