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2014-2015学年福建省莆田市仙游县金石中学高一（上）期末数学试卷
一、选择题：（本大题共10小题，每小题5分，共50分，在每个小题给出的四个选项中，只有一项是符合题目要求的，请将正确选项填在试卷的答题卡中.）
1．（5.00分）若集合A={x|﹣2≤x＜1}，B={x|0＜x≤2}，则A∩B=（ ）
A．{x|﹣2≤x≤2} B．{x|﹣2≤x＜0} C．{x|0＜x＜1} D．{x|1＜x≤2}
2．（5.00分）若直线x+y+1=0与直线ax+y﹣1=0互相平行，则a的值等于（ ）
A．1 B．![](https://wkrtcs.bdimg.com/rtcs/image?w=13&md5sum=7574c61ebe1784dc772ba9e515176b89&sign=d29a342bdc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=95&ipr={"t":"img","w":"13","h":"35","dataType":"png","c":"word/media/image4.png","imgOriW":13,"imgOriH":35})
C．﹣1 D．2
3．（5.00分）如图（1）、（2）、（3）、（4）为四个几何体的三视图，根据三视图可以判断这四个几何体依次分别为（ ）
![](https://wkrtcs.bdimg.com/rtcs/image?w=283&md5sum=7574c61ebe1784dc772ba9e515176b89&sign=d29a342bdc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=95&ipr={"t":"img","w":"283","h":"269","dataType":"png","c":"word/media/image5.png","imgOriW":283,"imgOriH":269})
A．三棱台、三棱柱、圆锥、圆台
B．三棱台、三棱锥、圆锥、圆台
C．三棱柱、正四棱锥、圆锥、圆台
D．三棱柱、三棱台、圆锥、圆台
4．（5.00分）已知幂函数f（x）=xm的图象经过点（4，2），则f（16）=（ ）
A．2![](https://wkrtcs.bdimg.com/rtcs/image?w=20&md5sum=7574c61ebe1784dc772ba9e515176b89&sign=d29a342bdc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=95&ipr={"t":"img","w":"20","h":"18","dataType":"png","c":"word/media/image6.png","imgOriW":20,"imgOriH":18})
B．4 C．4 D．8
5．（5.00分）已知m，n是两条不同直线，α，β，γ是三个不同平面，下列命题中正确的为（ ）
A．若α⊥γ，β⊥γ，则α∥β B．若m∥α，m∥β，则α∥β
C．若m∥α，n∥α，则m∥n D．若m⊥α，n⊥α，则m∥n
6．（5.00分）若直线（a+2）x+（1﹣a）y=a2（a＞0）与直线（a﹣1）x+（2a+3）y+2=0互相垂直，则a等于（ ）
A．1 B．﹣1 C．±1 D．﹣2
7．（5.00分）设m，n是不同的直线，α，β，γ是不同的平面，有以下四个命题：
①![](https://wkrtcs.bdimg.com/rtcs/image?w=127&md5sum=7574c61ebe1784dc772ba9e515176b89&sign=d29a342bdc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=95&ipr={"t":"img","w":"127","h":"38","dataType":"png","c":"word/media/image7.png","imgOriW":127,"imgOriH":38})
②![](https://wkrtcs.bdimg.com/rtcs/image?w=119&md5sum=7574c61ebe1784dc772ba9e515176b89&sign=d29a342bdc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=95&ipr={"t":"img","w":"119","h":"38","dataType":"png","c":"word/media/image8.png","imgOriW":119,"imgOriH":38})
③![](https://wkrtcs.bdimg.com/rtcs/image?w=119&md5sum=7574c61ebe1784dc772ba9e515176b89&sign=d29a342bdc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=95&ipr={"t":"img","w":"119","h":"38","dataType":"png","c":"word/media/image9.png","imgOriW":119,"imgOriH":38})
④![](https://wkrtcs.bdimg.com/rtcs/image?w=111&md5sum=7574c61ebe1784dc772ba9e515176b89&sign=d29a342bdc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=95&ipr={"t":"img","w":"111","h":"41","dataType":"png","c":"word/media/image10.png","imgOriW":111,"imgOriH":41})
其中，真命题是（ ）
A．①④ B．②③ C．①③ D．②④
8．（5.00分）过点P（a，5）作圆（x+2）2+（y﹣1）2=4的切线，切线长为2![](https://wkrtcs.bdimg.com/rtcs/image?w=20&md5sum=7574c61ebe1784dc772ba9e515176b89&sign=d29a342bdc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=95&ipr={"t":"img","w":"20","h":"18","dataType":"png","c":"word/media/image11.png","imgOriW":20,"imgOriH":18})
，则a等于（ ）
A．﹣1 B．﹣2 C．﹣3 D．0
9．（5.00分）若x0是方程![](https://wkrtcs.bdimg.com/rtcs/image?w=65&md5sum=7574c61ebe1784dc772ba9e515176b89&sign=d29a342bdc&rtcs_flag=1&rtcs_ver=3&l=webapp&bucketNum=95&ipr={"t":"img","w":"65","h":"35","dataType":"png","c":"word/media/image12.png","imgOriW":65,"imgOriH":35})
的根，则x0属于区间（ ）
A．（0，1] B．（1，10] C．（10，100] D．（100，+∞）
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