2019-2020学年高一数学上学期期末试卷
一、选择题
1.(1+tan 17°)(1+tan 28°)的值是( ) A.-1
ruuuruuuruuuruuu2.过△ABC的重心任作一直线分别交边AB,AC于点D、E.若AD?xAB,AE?yAC,xy?0,则
B.0 C.1 D.2
4x?y的最小值为( )
A.4
2B.3 C.2 D.1
??g?x??x?4,x?g?x?,fx?3.设函数g?x??x?2?x?R?,???则f?x?的值域是( )
gx?x,x?gx,??????A.???9?,0?U?1,??? 4???9?4??B.?0,??? D.??C.?,???
4.已知函数f?x??sin?ωx??9?,0?U?2,??? ?4???π??(ω?0),对于任意x?R,都有f?x??f?π?x??0,且f?x?在4? )
C.
?0,π?有且只有5个零点,则ω?(
A.
75 D. 22rrrrvvvo5.已知单位向量a,b的夹角为60,若向量c满足a?2b?3c?3,则|c|的最大值为( )
B.
A.1?
11 29 23 3
B.
3 3C.1?3 D.3 6.方程log3x?x?3的解所在的区间为( ) A.(0,2 )
B.(1,2 )
C.(2,3 )
D.(3,4 )
7.如图,在平行四边形ABCD中,下列结论中错误的是( )
A.AB=DC
uuuruuuruuuruuurB.AD+AB=AC C.AB-AD=BD
uuuruuuruuuruuurruuuruuuD.AD+CB=0
8.设等差数列?an?的前n项和为Sn,若a1?0,3a8?5a13,则Sn中最大的是( ). A.S10
B.S11
C.S20
D.S21
9.已知集合A??-2,-1,0,1,2?,B??x|?2?x?1?,则AIB= ( ) A.??1,0?
B.?0,1?
C.??1,0,1?
D.?0,1,2?
10.已知△ABC的面积为53,A?A.23 B.26 π,AB?5,则BC?( ). 6C.32 D.13
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