Question

椭圆4x²+2y²=1标准式子？

Answer 1

椭圆
4x^2+2y^2=1
x^2/1 + y^2/2 = 1/4
标准式子

Answer 2

椭圆4x²+2y²=1标准方程是
x^2/(1/4)+y^2/(1/2)=1.

Answer 3

(-1-λ-λx2)²/2+λ²y2²=1
(1+λ+λx2)²+λ²y²=1①
x2²/2+y2²誉圆档=1②
消去y2,①庆乱-②×λ²：
(1+λ+λx2)²/2-λ²x2²/2=1-λ²
(1+λ+λx2+λx2)(1+λ+λx2-λx2)=2-2λ²腔兆
(1+λ+2λx2)(1+λ)=2-2λ²
(1+λ)²+2λx2(1+λ)=2(1+λ)(1-λ)
(1+λ)+2λx2=2(1-λ)
2λx2=1-3λ
x2=(1-3λ)/(2λ)

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