2015-2016学年广东省汕头市东厦中学高二(上)第二次质检数学试卷(文科)
一.选择题(每小题5分共60分,请将答案填写在答题卷相应的位置上)
1.已知全集U=R,则正确表示集合M={﹣1,0,1}和N={x|x2+x=0}关系的韦恩(Venn)图是( )
A. B. C. D.
2.若向量=(1,2),=(3,4),则=( )
A.(4,6) B.(﹣4,﹣6) C.(﹣2,﹣2) D.(2,2)
3.下列函数为偶函数的是( )
A.y=x3 B.y=ln C.y=ex D.y=sinx
4.已知直线l⊥平面α,直线m⊂平面β,有下列四个命题:
①若α∥β,则l⊥m;
②若α⊥β,则l∥m;
③若l∥m,则α⊥β;
④若l⊥m,则α∥β.
其中,正确命题的序号是( )
A.①② B.③④ C.①③ D.②④
5.过点(1,0)且与直线x﹣2y﹣2=0平行的直线方程是( )
A.x﹣2y﹣1=0 B.x﹣2y+1=0 C.2x+y﹣2=0 D.x+2y﹣1=0
6.PA垂直于正方形ABCD所在平面,连接PB,PC,PD,AC,BD,则下列垂直关系正确的是( )
①面PAB⊥面PBC
②面PAB⊥面PAD
③面PAB⊥面PCD
④面PAB⊥面PAC.
A.①② B.①③ C.②③ D.②④
7.是( )
A.最小正周期为2π的偶函数 B.最小正周期为π的偶函数
C.最小正周期为2π的奇函数 D.最小正周期为π的奇函数
8.一个几何体按比例绘制的三视图如图所示(单位:m)则该几何体的体积为( )m3.png_iVBORw0KGgoAAAANSUhEUgAAAaIAAAB/CAYAAACt3MYqAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAAtvSURBVHhe7d0hbyRHFsDx/QiGhmvpwIVlWQJj6UAs5QPEUsDK6BRoLTiFroIsg5PRKTRhNnOYF27YhnmZFxoaDjDoU7Xn2TXlquoe95up92b+P6k13VU11qt+r6sys+vsqw4AgIbYiAAATbnciI7fHXez2Wx+9dyrV69cHAAAhxvR+cV5v4ifnJ7MW57zsMizEQHAA1erYfgUtPd6r1/Ed3Z2utvb23nPIjYiDAn338MBbAM/lX7fdWenZ93BDwf9Axq+njt6ezTvXOThAWaRaYsaAexwU+l3d3f9p6Drz9f9Axo+He3u7naf/v40H/GERQZDqBHADjeVHjaeqw9X/Xm/Ed3P+k3p5stN3xZjkcEQagSww2WlDz2gLDIYQo0AdrisdDYiTEWNAHa4rHQ2IkxFjQB2uKx0NiJMRY0AdrisdDYiTEWNAHa4rHQ2IkxFjQB2uKx0NiJMRY0AdmxkpbPIYAg1AtjBRtQIi0xb1AhgBxtRIywybVEjgB1uK732kLLIYAg1AtjhstLDA1p7SFlkMIQaAexwW+lsRJiCGgHscFvpbESYghoB7HBb6WxEmIIaAexwW+lsRJiCGgHscFvpbESYghoB7HBZ6eEBlSOHRQZDqBHAjo2sdBYZDKFGADvYiBphkWmLGgHsYCNqhEWmLWoEsMNlpQ89oCwyGEKNAHa4rHQ2IkxFjQB2uKx0NiJMRY0AdrisdDYiTEWNAHa4rHQ2IkxFjQB2uKx0NiJMRY0AdrisdDYiTEWNAHa4rHQ2IkxFjQB2uKn029vbbnd3t5vNZo8P6P53+93lxWV/HmORwRBqBLDDTaXP7mfd4Y+H3fG74/4BPb847958/Wbeu4hFBkOoEcAOV5UePhXt7Oz0D2j4dPTxr4/znkUsMhhCjQB2uKv097++7x/Qw58O5y3PschgCDUC2OGu0sOfEe293us/HZWwyGAINWJTmDPH9hwiW+nhz2HCgp+T+2HrPLr7h80o1+ftQDse7v821gh50eEtxmfRhr8EEAacnJ7MWxaRBB0hRg9xbirq2CbyosNbjAvRytdeYUD4SwG5r79Igg6J0UOsmyjcdw/HtvEwZ2LUEcf4dHbfdWenZ93BDwf9gPD13NHbo3nnE5KgYyEJDuLdNNSxTeR