配套习题- 如何求椭圆的方程 -【青果学院】

1/5单选题

难度：

1.椭圆的中心在原点，焦点在x轴上，长轴长为

，焦距为4，则该椭圆的方程为

A
B	+=1
C	+=1
D	+=1

正确答案：Qw==

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

2/5单选题

难度：

2.离心率

，长轴长为6的椭圆的标准方程是

A
B	或
C
D	或

正确答案：Qg==

6Kej77ya55SxMmE9Nu+8jGE9M++8jDxicj7nlLFlPTxpbWcgd2lkdGg9NTYgaGVpZ2h0PTMwIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvN0IvQ0EvckJBQ0UxVFpWNi14V1BwTkFBQUFyUklFS0NzOTM4LnBuZyIgPu+8jOefpWM9Mjxicj7lj4hiPHN1cD4yPC9zdXA+PWE8c3VwPjI8L3N1cD4tYzxzdXA+Mjwvc3VwPj05LTQ9NTxicj7mlYU8aW1nIHdpZHRoPTg5IGhlaWdodD0zMCBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ3LzVBL3JCQUNKMVRaVjY2VEpPRUNBQUFBLTRPaWxTRTM5MS5wbmciICA+5Li65omA5rGC77yMPGJyPuaVhemAiULvvI48YnI+

3/5单选题

难度：

3.已知两点F₁(-1，0)、F₂(1，0)，且|F₁F₂|是|PF₁|与|PF₂|的等差中项，则动点P的轨迹方程是

A
B
C
D

正确答案：Qw==

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

4/5单选题

难度：

4.椭圆(a＞b＞0)的两个焦点为F₁、F₂，短轴两端点B₁、B₂，已知F₁、F₂、B₁、B₂四点共圆，且点(0，3)到椭圆上的点的最远距离为

，则此椭圆的方程是

A
B
C
D

正确答案：QQ==

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

5/5单选题

难度：

5.一个椭圆中心在原点，焦点F₁，F₂在x轴上，P(2，

)是椭圆上一点，且|PF₁|、|F₁F₂|、|PF₂|成等差数列，则椭圆方程为

A	+=1
B	+=1
C	+=1
D	+=1

正确答案：QQ==

6Kej77ya4oi1fFBGPHN1Yj4xPC9zdWI+fO+8jHxGPHN1Yj4xPC9zdWI+RjxzdWI+Mjwvc3ViPnzvvIx8UEY8c3ViPjI8L3N1Yj585oiQ562J5beu5pWw5YiX77yMUOaYr+akreWchuS4iueahOS4gOeCue+8jDxicj7iiLQyfEY8c3ViPjE8L3N1Yj5GPHN1Yj4yPC9zdWI+fD18UEY8c3ViPjI8L3N1Yj58K3xQRjxzdWI+MTwvc3ViPnw9MmHvvIw8YnI+4oi0YT0yY++8jjxicj7orr7mpK3lnIbmlrnnqIvkuLo8aW1nIHdpZHRoPTE1NSBoZWlnaHQ9MzAgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC83Qi9DQS9yQkFDRTFUWlY3YXk0MVRKQUFBQmtXRXdBSHM2MDMucG5nIiAgPjxicj7op6PlvpdhPTI8aW1nIHdpZHRoPTIzIGhlaWdodD0xNiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwL0I4LzVBL3JCQUNGRlRaVjdXVG5aclFBQUFCQlFUZVZMdzIzNy5wbmciICA+77yMYjxzdXA+Mjwvc3VwPj0277yOPGJyPuaVheakreWchueahOaWueeoi+S4ujxpbWcgd2lkdGg9MzAgaGVpZ2h0PTMwIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvQjgvNTkvckJBQ0ZGVFpWNmVSX1ZHNEFBQUFrZ2ZTd2JBMTc3LnBuZyIgID49Me+8jjxicj7mlYXpgIlB77yOPGJyPg==