(本小題滿分12分)

   已知函數(shù)f（x）=x3－ax2，其中a為實(shí)常數(shù).

   （1）設(shè)當(dāng)x∈（0，1）時(shí)，函數(shù)y = f（x）圖象上任一點(diǎn)P處的切線的斜線率為k，若k≥－1，求a的取值范圍

  （2）當(dāng)x∈［－1，1］時(shí)，求函數(shù)y=f（x）+a（x2－3x）的最大值.

（本小題滿分12分）

已知數(shù)列是首項(xiàng)為，公比的等比數(shù)列，設(shè)，數(shù)列滿足．

（Ⅰ）求的通項(xiàng)公式；

（Ⅱ）若對(duì)一切正整數(shù)恒成立，求實(shí)數(shù)的取值范圍.

（本小題滿分12分）

已知橢圓：．

（Ⅰ）若橢圓的一個(gè)焦點(diǎn)到長(zhǎng)軸的兩個(gè)端點(diǎn)的距離分別為和，求橢圓的方程；

（Ⅱ）如圖，過坐標(biāo)原點(diǎn)任作兩條互相垂直的直線與橢圓分別交于和四點(diǎn)．設(shè)原點(diǎn)到四邊形某一邊的距離為，試求：當(dāng)時(shí) 的值。                                                                               

集合A={－1，0，1}，B={}，則AB=（    ）

    A. {0}      B． {1}         C．{0，1}       D．{－1，0，1}

已知，且為實(shí)數(shù)，則等于（    ）

A. 1         B．             C．           D．

使不等式成立的一個(gè)必要不充分條件是（    ）

    A.     B．   C． D． ，或

在等比數(shù)列的值為（    ）                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                

    A.9           B．1  C．2    D．3

以雙曲線的中心為頂點(diǎn)，右焦點(diǎn)為焦點(diǎn)的拋物線方程是（    ）

  A.      B．     C．    D．

現(xiàn)將10個(gè)參加2009年全國(guó)高中數(shù)學(xué)競(jìng)賽的名額分配給某區(qū)四個(gè)不同學(xué)校，要求一個(gè)學(xué)校1名，一個(gè)學(xué)校2名，一個(gè)學(xué)校3名，一個(gè)學(xué)校4名，，則不同分配方案種數(shù)共有 （    ）

A.43200               B．12600              C．24          D．20

定義運(yùn)算：，將函數(shù)的圖象向左平移（）個(gè)單位，所得圖象對(duì)應(yīng)的函數(shù)為偶函數(shù)，則的最小值為（    ）

A.             B．            C．            D．