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過原點(diǎn)且傾斜角為的直線被圓所截得的弦長為

A.           B.            C.             D.

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函數(shù)的定義域是

    A. B.    C. D.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         

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命題“存在,使得”的否定是

A.不存在,使得         B.存在,使得

C.對任意,都有           D.對任意,使得

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已知全集,,則

A.            B.          C.         D.

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已知函數(shù)

(Ⅰ)若函數(shù)上為增函數(shù),求實(shí)數(shù)的取值范圍;

(Ⅱ)當(dāng)時,證明:

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已知橢圓的左、右焦點(diǎn)分別為、,橢圓上的點(diǎn)滿足,且△的面積為

(Ⅰ)求橢圓的方程;

(Ⅱ)設(shè)橢圓的左、右頂點(diǎn)分別為、,過點(diǎn)的動直線與橢圓相交于、兩點(diǎn),直線與直線的交點(diǎn)為,證明:點(diǎn)總在直線上.

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已知數(shù)列的前項和為,且

(Ⅰ)求數(shù)列的通項公式;

(Ⅱ)設(shè),

求使恒成立的實(shí)數(shù)的取值范圍.

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設(shè),函數(shù)滿足

(Ⅰ)求的單調(diào)遞減區(qū)間;

(Ⅱ)設(shè)銳角△的內(nèi)角、、所對的邊分別為、、

, 求的取值范圍.

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為了參加2013年市級高中籃球比賽,該市的某區(qū)決定從四所高中學(xué)校選出人組成男子籃球隊代表所在區(qū)參賽,隊員來源人數(shù)如下表:

學(xué)校

學(xué)校甲

學(xué)校乙

學(xué)校丙

學(xué)校丁

人數(shù)

該區(qū)籃球隊經(jīng)過奮力拼搏獲得冠軍,現(xiàn)要從中選出兩名隊員代表冠軍隊發(fā)言.

(Ⅰ)求這兩名隊員來自同一學(xué)校的概率;

(Ⅱ)設(shè)選出的兩名隊員中來自學(xué)校甲的人數(shù)為,求隨機(jī)變量的分布列及數(shù)學(xué)期望

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已知函數(shù).

(Ⅰ)若,求函數(shù)的單調(diào)區(qū)間和極值;

(Ⅱ)設(shè)函數(shù)圖象上任意一點(diǎn)的切線的斜率為,當(dāng)的最小值為1時,求此時切線的方程.

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