雙曲線
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的一個焦點為
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,則
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的值為___________,雙曲線的漸近線方程為___________.
-1;
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因為雙曲線
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的一個焦點為
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,所以
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為負值,
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可化為
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,
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,所以
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=—1,雙曲線方程為
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,其漸近線方程為
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科目:高中數(shù)學
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題型:單選題
如圖所示,橢圓中心在坐標原點,
F為左焦點,當
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⊥
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時,其離心率為
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,此類橢圓被稱為“黃金橢圓”.類比“黃金橢圓”,可推算出“黃金雙曲線”的離心率
e等于( )
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如右圖,設由拋物線
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與過它的焦點F的直線
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所圍成封閉曲面圖形的面積為
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(陰影部分)。
(1)設直線

與拋物線
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交于兩點
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,且
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,直線
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的斜率為
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,試用
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表示
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;
(2)求
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的最小值。

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科目:高中數(shù)學
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設橢圓C:
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過點(0,4),(5,0).
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的直線被橢圓C所截線段的中點坐標
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科目:高中數(shù)學
來源:不詳
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(本小題滿分12分)已知橢圓
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:
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
的左、右焦點分別為
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離心率


,點
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在且橢圓E上,
(Ⅰ)求橢圓
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的方程;
(Ⅱ)設過點
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且不與坐標軸垂直的直線交橢圓
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于
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兩點,線段
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的垂直平分線與
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軸交于點
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,求點
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橫坐標的取值范圍.
(Ⅲ)試用
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表示
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的面積,并求
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面積的最大值
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科目:高中數(shù)學
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.已知橢圓


的兩個焦點為
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、
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,且
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,弦AB過點
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,則△
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的周長為( )
A.10 | B.20 | C.2 | D. |
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科目:高中數(shù)學
來源:不詳
題型:填空題
已知
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、
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是橢圓
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(
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>
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>0)的兩個焦點,
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為橢圓

上一點,且
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.若
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的面積為9,則
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="____________."
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科目:高中數(shù)學
來源:不詳
題型:單選題
若點F
1,F(xiàn)
2為橢圓

的焦點,P為橢圓上的點,當
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的面積為1時,
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的值是( )
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