信阳市2023—2023学年度高中毕业班第一次调研考试数学(理科).doc

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ofruraldrinkingwatersources,protectionofdrinkingwatersourcesinruralareasbytheendofthedelimitationofthescopeofprotection,completewithwarningsigns,isolatingnetworkprotectionfacilities
★2023年10月29日
信阳市2023—2023学年度高中毕业班第一次调研考试
数学〔理科〕
本试题卷分第I卷〔选择题〕和第II卷〔非选择题〕两局部。第I卷1至2页,第II卷3至4页,共150分。考前须知:
1. 答题前,考生务必将自己的准考证号、姓名填写在答题卷上。
2. 第I卷每题选出答案后,用2B铅笔把答题卡上对应题目的答案标号涂黑,如需改动,用橡皮擦干净后,再选涂其他答案标号。第II卷用黑色墨水签字笔在答题卷上指定区域书写作答,在试题卷上作答,答案无效。
3. 考试结束,监考员将答题卷、答题卡一并收回。
第I卷选择题
本卷共12小题,每题5分,总分值60分,
―、选择题:
1. 设全集,那么N等于
A.{1,2,3}B.{1,3,5}C{:l,4,5}D.{2,3,4}
2. 以下函数中,周期为,且在上为减函数的是
A. B.
C. D.
3. “〞是“〞的


4. ,那么的解集为
.
C. D.
5. 化简等于
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ofruraldrinkingwatersources,protectionofdrinkingwatersourcesinruralareasbytheendofthedelimitationofthescopeofprotection,completewithwarningsigns,isolatingnetworkprotectionfacilities
ofruraldrinkingwatersources,protectionofdrinkingwatersourcesinruralareasbytheendofthedelimitationofthescopeofprotection,completewithwarningsigns,isolatingnetworkprotectionfacilities
.-
6. =4所围成的封闭图形的面积为
---ln2D21n2
7. .的图象关于()对称。
Ay轴Bx轴C原点D直线y=x
8. 三个数之间的大小关系是
<c<<b<<a<<c<a
9. 先将函数的周期变为原来的2倍,再将所得函数的图象向右平移个单位,那么所得函数图象的解析式为
.
.
10. 假设函数在上有零点,那么m的取值范围为
A[1,]B[-1,2]C.[-1,2+]D.[1,3]
11. 如果关于x的方程有且仅有一个正实数解,那么实数a的取值范围是
A.(,0]B.
C.[O,)D.
12. 函数是定k在R上的增函数,函数的图象关于点〔1,0),不等式恒成立,那么当X>3时,的取值范围是
A.(3,7)B.(9,25)C.(13,49)D.(9,49)
第II卷非选择题
二、填空题:本大题共4小题,每题5分,总分值20分.
13. 幂函数的图象过点(3,〕,那么的解析式是_________.
14. ,那么等于_________.
15. 函数满足对任意的都有成立,那么
ofruraldrinkingwatersources,protectionofdrinkingwatersourcesinruralareasbytheendofthedelimitationofthescopeofprotection,completewithwarningsigns,isolatingnetworkprotectionfacilities
ofruraldrinkingwatersources,protectionofdrinkingwatersourcesinruralareasbytheendofthedelimitationofthescopeofprotection,completewithwarningsigns,isolatingnetworkprotectionfacilities
ofruraldrinkingwatersources,protectionofdrinkingwatersourcesinruralareasbytheendofthedelimitationofthescopeofprotection,completewithwarningsigns,isolatingnetworkprotectionfacilities
=_________
16. 以下说法:
①“,使〞的否认是“,使;
②函数的最小正周期是;
③命题“函数在处有极值,那么〞的否命题是真命题;
④是(上的奇函数x>0时的解析式是,那么x<0时的解析式为其中正确的说法是_________.
三、解答题:本大题共6小题,共70分,解容许写出文字说明,证明过程或演算步骤.
17. (本小题总分值10分〕函数.
(I)假设不等式的解集为,求实数a的值;
(II)在〔I)的条件下,假设对一切实数X恒成立,求实数m的取值范围
18. (本小题总分值12分〕定义域为R的函数是奇函数.
(I)求a,b的值;
(II)假设对任意的,不等式恒成立,求k的取值范围.
19. (本小题总分值12分〕在中,角A,B,C所对的边分别为a,b,c且满足
(I)求角C的大小;
(II)求的最大值,并求取得最大值时角A,B的大小.
20. (本小题总分值12分〕x=1是的一个极值点.
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ofruraldrinkingwatersources,protectionofdrinkingwatersourcesinruralareasbytheendofthedelimitationofthescopeofprotection,completewithwarningsigns,isolatingnetworkprotectionfacilities
ofruraldrinkingwatersources,protectionofdrinkingwatersourcesinruralareasbytheendofthedelimitationofthescopeofprotection,completewithwarningsigns,isolatingnetworkprotectionfacilities
(I) 求b的值;
(II)求函数f(x)的单调减区间;
(III)设,试问过点(2,5)可作多少条直线与曲线相切?请说明理由
21. (本小题总分值12分)某化装品生产企业为了占有更多的市场份额,已在2023年度进行一系列促销活动,经过市场调查和测算,化装品的年销量x万件与年促销费t万元之间满足3-x与t+1成反比例,如果不搞促销活动,,维修等固定费用为3万元,每生产1万件化装品需再投入32万元的生产费用,假设将每件化装品的售价定为:其生产本钱的150%与“平均每件促销费的一半〞之和,那么当年生产的化装品正好能销完.
(I)将2023年的利润y(万元)表示为t(万元〕的函数;
(II)该企业2023年的促销费投入多少万元时,企业的年利润最大.
(利润=销售收入-生产本钱-促销费,生产本钱=固定费用+生产费用〕
22. (本小题总分值12分)设函数.
(I)求的单调区间;
(II)当a>0时,(a),假设g(a)<t恒成立,求实数t的取值范围:
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ofruraldrinkingwatersources,protectionofdrinkingwatersourcesinruralareasbytheendofthedelimitationofthescopeofprotection,completewithwarningsigns,isolatingnetworkprotectionfacilities
ofruraldrinkingwatersources,protectionofdrinkingwatersourcesinruralareasbytheendofthedelimitationofthescopeofprotection,completewithwarningsigns,isolatingnetworkprotectionfacilities
ofruraldrinkingwatersources,protectionofdrinkingwatersourcesinruralareasbytheendofthedelimitationofthescopeofprotection,completewithwarningsigns,isolatingnetworkprotectionfacilities
ofruraldrinkingwatersources,protectionofdrinkingwatersourcesinruralareasbytheendofthedelimitationofthescopeofprotection,completewithwarningsigns,isolatingnetworkprotectionfacilities
ofruraldrinkingwatersources,protectionofdrinkingwatersourcesinruralareasbytheendofthedelimitationofthescopeofprotection,completewithwarningsigns,isolatingnetworkprotectionfacilities