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2017—2018年度高州四中第一学期期中考试
高三 文数 试题
第Ⅰ卷(选择题 共50分)
一、选择题:(本大题共10小题,每小题5分,满分50分,每小题给出的四个选项中,
只有一项是符合题目要求)
⒈已知R是实数集,A?y|y?x2 , x?R,则CRA?
??A.(?? , 0) B.(?? , 0] C.(0 , ??) D.[0 , ??) 2.函数f(x)?1?lg(x?!)的定义域是 x?1A.(?1,??) C.(?1,1)(1,??) 3.下列命题中是真命题的是
B.[?1,??) D.[?1,1)(1,??)
A.对?x?R,x2?x B.对?x?R,x2?x C.对?x?R,?y?R,y2?x D.?x?R,对?y?R,xy?x 4.已知sin??3,则cos2?的值为 5·1·
A.?24 25B.
?个单位长度;②横坐3标伸长到原来的2倍,纵坐标不变。所得到的曲线C/对应的函数解析式是
?x??x?A.y?sin(2x?) B.y?sin(?) C.y?sin(2x?) D.y?sin(?)
323323?6.已知简谐运动f(x)?Asin(?x??),(|?|?)的部分图象如右图示, y25.将函数y?sinx的图象C按顺序作以下两种变换:①向左平移则该简谐运动的最小正周期和初相?分别为 A.T?6?,??C.T?6,??2x7724 B.? D.
252525
?6 B.T?6?,???33
o-214?6 D.T?6,???
7. 若点(a,9)在函数y?3x的图象上,则tanA.0 B. a?的值为 63 C.1 D.3 38.已知△ABC中,a?2,b?3,B?60,那么角A等于 A.45 B.90
C.135或45
D.30
19.函数y=x2?㏑x的单调递减区间为
2A.(?1,1] B.(0,1] C.[1,+∞) D.(0,+∞)
ab?0,?a?b , ?10.任意a、b?R,定义运算a?b??a,则f(x)?x?ex的
? , ab?0.??b11A.最小值为?e B.最大值为? C. 最小值为? D.最大值为e
ee
第Ⅱ卷(非选择题,共100分)
二、填空题:(本大题共4小题,每小题5分,满分20分) 11.已知函数f(x)=x-1 若f(a)=3,则实数a= ____________.
12.函数f(x)?3x?sinx?1(x?R),若f(t)?2,则f(?t)的值为 .
·2·