2020学年度江苏省淮安市盱眙中学高三数学阶段性测试二 人教版

In 2020, Xuyi Middle School Grade 3 Mathematics Stage Test II(This volume has a full score of 150 points and the examination time is 120 minutes)Candidates should carefully read this notice and the requirements of each question before answering the questions.1. This examination paper consists of 2 pages and consists of three parts: multiple choice questions (12 questions from questions 1 to 12), blank filling questions (6 questions from questions 13 to 18) and answer questions (4 questions from questions 19 to 22). The examination time is 120 minutes.2. Before answering questions, please be sure to fill in your name and examination certificate number on the examination paper and answer sheet with a 0.5mm sign pen written in black.3. The answer must be written in the designated position on the answer card with a 0.5mm sign pen in black handwriting. Any other position will be invalid.I. multiple choice questions (12 items in total, 5 points for each item, 60 points in total. only one of the four options given in each item meets the requirements of the question. please fill in the answer in the corresponding form on the answer sheet)1, the relationship between the collection is ()A B C D2. Let Sn be the sum of the first N terms of arithmetic progression an, if=, then=() 3. In, the is the ()A sufficient and unnecessary condition b necessary and insufficient condition c sufficient and necessary condition d is neither sufficient nor necessary condition4. translate the image of the function according to the vector. the translated image is shown in the figure, then the analytic expression of the function corresponding to the translated image is ()A BC D5, acute angle, respectively for the opposite side of the angle, set, then ()A （-2，2） B （，）CD6. A geometric progression whose number of terms is even, whose sum of even terms is twice that of odd terms, and whose first term is 1 and the sum of the middle two terms is 24, then the number of terms in this geometric progression is ()A 12 B 10 C 8 D 67. The sum of the first N terms of arithmetic progression an is known. If A, B and C are collinear (the straight line does not pass the origin O), S200=()A100 B. 101 C.200 D.2018. As shown in the figure, point P moves on the side of a square ABCD with a side length of 1, and point M is the midpoint of the side of the CD. When point P moves along ABCM, the distance traveled by point P is recorded as X, and the area of APM is Y, then the image of function y=f(x) can only be ()A B C DOxyOxyOxyOxy9, known function, set, if , then ()A B C D10, known as o is a point in the plane, meet the point o is ()A center of gravity b center of gravity c center of gravity d.11, set is three non-zero vectors, and not collinear, if there are two real roots about the equation, then ()The size of A B C D cannot be determined.12, set, if the inequality on the interval is constant, then the range of real numbers is ()A B -1，0 C DFill in the blanks: this big question has 4 items, each item has 4 points and 16 points. please fill in the answerOn the horizontal lines in the corresponding questions on the paper.13. If the image of the function and the straight line have only two different intersection points, the value range is .14. If the sum of the preceding paragraph of arithmetic progression is known, and, then the coordinate of one direction vector of the straight line passing through the sum of points is .15. If the value range of the function is R, the value range of real number A is .16. It is known that the corner-to-side is respectively the height on the side, and the following conclusion is reached:； ； ；(4), of which the correct one is _ _ _ _ . (write down the serial numbers of all conclusions you think are correct3. Answer the question (4 items in total, 54 points in total. The answer should include the necessary written explanation, proof process or calculation steps).17. (Full mark for this topic is 12 points)Known as that three interior angle of a triangle, vectors, and(I) seeking angles;(II) If, please18. (this item is 12 points)Known function(1) find its domain and value domain(2) judging its parity(3) Judge its monotone interval and monotonicity on each interval(4) judging its periodicity, if it is a periodic function, finding its minimum positive period19. (Full mark for this topic is 12 points)已知功能(一)寻求反函数及其域的解析表达式；(ii)判断函数在其域中的单调性并证明它；(三)如果不平等是在当时建立的，试着找出现实数字的数值范围。(这是一件大事，12分)让序列满足a1=t，a2=t2，前n项之和为Sn，sn 2-(t1) sn 1 tsn=0 (n n)。(一)有待找到的通式；(ii)当t1时，前n项的总和；(iii)如果t 2，验证：21.(本主题满分为12分)有一种整存整取的储蓄项目，在每月的某一天存入相同的金额，即零存整取。在一定期限到期时，可以提供全部本金和利息，这是一笔总付。其基本好处和共识如下：本金和利息之和=每个期间的存款额(1)尝试解释这个成本效益公式(2)如果每月初存入100元，月利率是多少，到12月底的本金和利息是多少？(3)如果每月初存一笔钱，月利率是，我希望在12月底得到本金和2000元，每月初应该存多少钱？(满分14分)设函数的定义域为r，当且对于任何实数，都有(1)寻求判断并证明函数的单调性(2)序列满足寻找数列的通项公式秩序，试着比较和大小，并证明它；当时，不等式对不小于2的正整数总是有效的，并且找到了值的范围。参考答案一、选择题标题号123456789101112回答AACCDCAAACBC第二，填空13、(-4，-2) 14、15、16、三。回答问题17.解决办法：(一)那是-3分-5分* 6分从主题出发，组织 或-10分给-11加分-12分18.解决方案：(1)域是数值范围为：-4点(2)定义域关于原点是不对称的，所以它既不是奇数函数也不是偶数函数6点(3)域内正增长函数-10分(4)最小正周期-12分19.解决办法：(一)三点又也就是说，f(x)的反函数有一个(0，1) .4点的域建立6分对(0，1)是递增函数.8分通过获得9分11分总而言之，A的取值范围是12点20.解决办法：(一)；从sn 2-(t 1) sn 1 tsn=0，(t 1) sn 1=sn 2 tsn，即，(2分)而a1=t，a2=t2 (3分因此，当t0时，序列是以t为前导项，t为公比的几何级数。验证了当t=0 (4分)时，上述结论仍然有效(二)从(一)开始，有(5分)t0时(6分)所以有，获得(7分)因此验证了当t=0 (9分)时，上述结论仍然有效(iii)=(TN t-n)t-n)-(2n 2-n)=(TN-2n)1-()n且t 2 TN-2n 0和1-() n0(tn-2n) 1-()n0 TN T-N