1、与y轴相切和半圆x ²+y ²=4(0≤x≤2)内切的动圆圆心的轨迹方程式( )A、y ²4=(x-1)(0<x≤1)B、y ²=4(x-1) (0<x≤1)C、y ²=4(x+1) (0<x≤1)D、y ²=2(x-1)(0
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![1、与y轴相切和半圆x ²+y ²=4(0≤x≤2)内切的动圆圆心的轨迹方程式( )A、y ²4=(x-1)(0<x≤1)B、y ²=4(x-1) (0<x≤1)C、y ²=4(x+1) (0<x≤1)D、y ²=2(x-1)(0](/uploads/image/z/5628899-11-9.jpg?t=1%E3%80%81%E4%B8%8Ey%E8%BD%B4%E7%9B%B8%E5%88%87%E5%92%8C%E5%8D%8A%E5%9C%86x+%26%23178%3B%2By+%26%23178%3B%3D4%EF%BC%880%E2%89%A4x%E2%89%A42%EF%BC%89%E5%86%85%E5%88%87%E7%9A%84%E5%8A%A8%E5%9C%86%E5%9C%86%E5%BF%83%E7%9A%84%E8%BD%A8%E8%BF%B9%E6%96%B9%E7%A8%8B%E5%BC%8F%EF%BC%88+%EF%BC%89A%E3%80%81y+%26%23178%3B4%3D%EF%BC%88x-1%EF%BC%89%EF%BC%880%EF%BC%9Cx%E2%89%A41%EF%BC%89B%E3%80%81y+%26%23178%3B%3D4%EF%BC%88x-1%EF%BC%89+%EF%BC%880%EF%BC%9Cx%E2%89%A41%EF%BC%89C%E3%80%81y+%26%23178%3B%3D4%EF%BC%88x%2B1%EF%BC%89+%EF%BC%880%EF%BC%9Cx%E2%89%A41%EF%BC%89D%E3%80%81y+%26%23178%3B%3D2%EF%BC%88x-1%EF%BC%89%EF%BC%880)
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1、与y轴相切和半圆x ²+y ²=4(0≤x≤2)内切的动圆圆心的轨迹方程式( )A、y ²4=(x-1)(0<x≤1)B、y ²=4(x-1) (0<x≤1)C、y ²=4(x+1) (0<x≤1)D、y ²=2(x-1)(0
1、与y轴相切和半圆x ²+y ²=4(0≤x≤2)内切的动圆圆心的轨迹方程式( )
A、y ²4=(x-1)(0<x≤1)
B、y ²=4(x-1) (0<x≤1)
C、y ²=4(x+1) (0<x≤1)
D、y ²=2(x-1)(0<x≤1)
1、与y轴相切和半圆x ²+y ²=4(0≤x≤2)内切的动圆圆心的轨迹方程式( )A、y ²4=(x-1)(0<x≤1)B、y ²=4(x-1) (0<x≤1)C、y ²=4(x+1) (0<x≤1)D、y ²=2(x-1)(0
设动圆圆心为M(x,y) 半圆圆心O是原点 ∵内切∴OM=半圆半径2-动圆半径r=根号(x方+y方) ① M到y轴距离为x=r ② 由以上得2个得
y ²=4(1-x) 结合一下图像位置求下范围 (0<x≤1) B
设动圆圆心为P(x,y)
则它的半径为x
又因为它与半圆相切,切点为Q
则根号(x^2+y^2)+x=2
x^2+y^2=(2-x)^2
化简一下y^2=4-4x
嗯?没算错吧?
没答案?
b