2004年全国高考数学试题（四川理）
(必修加选修II)
第一卷（选择题，共60分）
一、选择题：本大题共12个小题，每小题5分，共60分，在每小题给出的四个选项中，只有一项是符合题目要求的。
1、 已知集合M={x|x2<4}，N={x|x2-2x-3<0},则集合M∩N=( C )
A {x|x<-2} B {x|x>3} C {x|-1
2、![](https://wkrtcs.bdimg.com/rtcs/image?w=119&md5sum=e50efd16c640d17ce005e411ce5fc2bb&sign=beb92c5397&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=90&ipr={"t":"img","w":"119","h":"47","dataType":"gif","c":"word/media/image1.png"})
( A )
A ![](https://wkrtcs.bdimg.com/rtcs/image?w=13&md5sum=e50efd16c640d17ce005e411ce5fc2bb&sign=beb92c5397&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=90&ipr={"t":"img","w":"13","h":"33","dataType":"gif","c":"word/media/image2.png"})
B 1 C D
3、设复数![](https://wkrtcs.bdimg.com/rtcs/image?w=77&md5sum=e50efd16c640d17ce005e411ce5fc2bb&sign=beb92c5397&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=90&ipr={"t":"img","w":"77","h":"37","dataType":"gif","c":"word/media/image5.png"})
，则1+=( C )
A ![](https://wkrtcs.bdimg.com/rtcs/image?w=21&md5sum=e50efd16c640d17ce005e411ce5fc2bb&sign=beb92c5397&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=90&ipr={"t":"img","w":"21","h":"13","dataType":"gif","c":"word/media/image7.png"})
B C D
4、已知圆C与圆(x-1)2+y2=1关于直线y=-x对称，则圆C的方程为( C )
A (x+1)2+y2=1 B x2+y2=1 C x2+(y+1)2=1 D x2+(y-1)2=1
5、已知函数y=tan(2x+φ)的图象过点(![](https://wkrtcs.bdimg.com/rtcs/image?w=28&md5sum=e50efd16c640d17ce005e411ce5fc2bb&sign=beb92c5397&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=90&ipr={"t":"img","w":"28","h":"33","dataType":"gif","c":"word/media/image11.png"})
)，则φ的值可以是( A )
A -![](https://wkrtcs.bdimg.com/rtcs/image?w=16&md5sum=e50efd16c640d17ce005e411ce5fc2bb&sign=beb92c5397&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=90&ipr={"t":"img","w":"16","h":"33","dataType":"gif","c":"word/media/image12.png"})
B C D
6、函数y=-ex的图象( D )
A 与y=ex的图象关于y轴对称. B 与y=ex的图象关于坐标原点对称.
C 与y=e-x的图象关于y轴对称. D 与y=e-x的图象关于坐标原点对称.
7、已知球O的半径为1，A、B、C三点都在球面上，且每两点间的球面距离均为![](https://wkrtcs.bdimg.com/rtcs/image?w=16&md5sum=e50efd16c640d17ce005e411ce5fc2bb&sign=beb92c5397&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=90&ipr={"t":"img","w":"16","h":"33","dataType":"gif","c":"word/media/image15.png"})
，则球心O到平面ABC的距离为（ B ）
A ![](https://wkrtcs.bdimg.com/rtcs/image?w=13&md5sum=e50efd16c640d17ce005e411ce5fc2bb&sign=beb92c5397&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=90&ipr={"t":"img","w":"13","h":"33","dataType":"gif","c":"word/media/image16.png"})
B C D
8、在坐标平面内，与点A(1,2)的距离为1，且与点B(3,1)的距离为2的直线共有( B )
A 1条 B 2条 C 3条 D 4条
9、已知平面上直线l的方向向量e=(-![](https://wkrtcs.bdimg.com/rtcs/image?w=27&md5sum=e50efd16c640d17ce005e411ce5fc2bb&sign=beb92c5397&rtcs_flag=1&rtcs_ver=3.1&l=webapp&bucketNum=90&ipr={"t":"img","w":"27","h":"33","dataType":"gif","c":"word/media/image20.png"})
)，点O(0,0)和点A(1,-2)在l上的射影分别为和，则λe，其中λ=（ D ）
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