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温州二外2014学年第二学期高二学科知识竞赛数学试题(文科)(考试时间:120分钟满分:100分)参考公式:柱体的体积公式SKIPIF1<0\*MERGEFORMAT其中S表示柱体的底面积,h表示柱体的高锥体的体积公式SKIPIF1<0\*MERGEFORMAT其中S表示锥体的底面积,h表示锥体的高台体的体积公式SKIPIF1<0\*MERGEFORMAT其中S1,S2分别表示台体的上,下底面积球的表面积公式SKIPIF1<0\*MERGEFORMAT其中R表示球的半径,h表示台体的高球的体积公式SKIPIF1<0\*MERGEFORMAT其中R表示球的半径选择题部分(共32分)一、选择题(每题3分,每小题只有一个正确答案)1.设集合SKIPIF1<0\*MERGEFORMAT,SKIPIF1<0\*MERGEFORMAT,则集合SKIPIF1<0\*MERGEFORMAT等于()(A)SKIPIF1<0\*MERGEFORMAT(B)SKIPIF1<0\*MERGEFORMAT(C)SKIPIF1<0\*MERGEFORMAT(D)SKIPIF1<0\*MERGEFORMAT2.下列函数中,其图象既是轴对称图形又在区间SKIPIF1<0\*MERGEFORMAT上单调递增的是()(A)SKIPIF1<0\*MERGEFORMAT(B)SKIPIF1<0\*MERGEFORMAT(C)SKIPIF1<0\*MERGEFORMAT(D)SKIPIF1<0\*MERGEFORMAT第3题图3.下列函数中,图象的一部分如图所示的是()(A)SKIPIF1<0\*MERGEFORMAT(B)SKIPIF1<0\*MERGEFORMAT(C)SKIPIF1<0\*MERGEFORMAT(D)SKIPIF1<0\*MERGEFORMAT4.设SKIPIF1<0\*MERGEFORMAT,则SKIPIF1<0\*MERGEFORMAT的最大值是()(A)SKIPIF1<0\*MERGEFORMAT(B)SKIPIF1<0\*MERGEFORMAT(C)SKIPIF1<0\*MERGEFORMAT(D)25.已知SKIPIF1<0\*MERGEFORMAT为等比数列,则“SKIPIF1<0\*MERGEFORMAT”是“SKIPIF1<0\*MERGEFORMAT为递减数列”的()(A)充分而不必要条件(B)必要而不充分条件(C)充要条件(D)既不充分也不必要条件6.已知SKIPIF1<0\*MERGEFORMAT是空间中两不同直线,SKIPIF1<0\*MERGEFORMAT是空间中两不同平面,下列命题中正确的是(▲)(A)若直线SKIPIF1<0\*MERGEFORMAT,SKIPIF1<0\*MERGEFORMAT,则SKIPIF1<0\*MERGEFORMAT(B)若平面SKIPIF1<0\*MERGEFORMAT,SKIPIF1<0\*MERGEFORMAT,则SKIPIF1<0\*MERGEFORMAT(C)若平面SKIPIF1<0\*MERGEFORMAT,SKIPIF1<0\*MERGEFORMAT,则SKIPIF1<0\*MERGEFORMAT(D)若SKIPIF1<0\*MERGEFORMAT,SKIPIF1<0\*MERGEFORMAT,则SKIPIF1<0\*MERGEFORMAT7.设SKIPIF1<0\*MERGEFORMAT分别是双曲线SKIPIF1<0\*MERGEFORMAT的左、右焦点,SKIPIF1<0\*MERGEFORMAT是SKIPIF1<0\*MERGEFORMAT的右支上的点,射线SKIPIF1<0\*MERGEFORMAT平分SKIPIF1<0\*MERGEFORMAT,过原点SKIPIF1<0\*MERGEFORMAT作SKIPIF1<0\*MERGEFORMAT的平行线交SKIPIF1<0\*MERGEFORMAT于点SKIPIF1<0\*MERGEFORMAT,若SKIPIF1<0\*MERGEFORMAT,则SKIPIF1<0\*MERGEFORMAT的离心率为()(A)SKIPIF1<0\*MERGEFORMAT(B)3(C)SKIPIF1<0\*MERGEFORMAT(D)SKIPIF1<0\*MERGEFORMA