2. Is there a good high-frequency vocabulary book for college entrance examination 1? Physics "Higher and Better Physics for College Entrance Examination" is very good, suitable for students with above average basic level ~
2. Math * * * (second round, teaching method) is still excellent in Zhejiang University. Many people should know "The Way of Thinking in High Mathematics", which is quite good. Mainly based on method+finale, but if you look at it selectively, it is a bit difficult without the basis of mathematical competition. There are also a series of classic topics selected by Zhejiang University. The topic is of high quality and large quantity, which can be used to overcome weak chapters ~
3. Mathematics (one round+recommended for students in senior one and senior two to do it simultaneously) "Have you really mastered the mathematics in the college entrance examination?" This series is divided into four books, covering all chapters except trigonometric functions. The topic goes from shallow to deep, the method of example is very good, and the language is particularly vivid. The amount of questions is relatively large, and brushing questions is also acceptable. The most important thing is to help you think. Suitable for a good foundation ~
4. The purple B version is recommended for the general course "May 3rd", with many types of questions and moderate difficulty, while the red A version has few types of questions and many basic questions, so consider it at your own discretion ~
5. I think "Golden Examination Paper 45" is better than Tian Li 38 ~ the topics are all good, but the simulation questions are carefully brushed in Chinese and biology. What the hell are the answers to these two simulation questions! Will make you sink in and want to hold the rope ~
6. Biology, chemistry (one round) "Ten-year college entrance examination", recommending materials of biology, chemistry and pure brush questions, are real questions, which can help you quickly establish a knowledge network. Remember to read the answers carefully and record the mistakes and knowledge points ~
7. Physical Chemistry * * * "Multifunctional Ming Physics or Chemistry" is suitable for top students who want to improve in senior one and senior two, but senior three dogs can't afford it. You don't have to brush every question, otherwise it will take too much energy. There is a difficulty level on it, just pick and write it ~
8. 1 month 1 day, the booklet "Survey of Examination Questions in General Medicine (First Round)" contains many enlightening little knowledge points, so we must do it carefully and remember it carefully! Sure!
9. Cloze and reading in English "Ya Feng English" are real questions, which are explained in detail, well-bound, and full of happiness =3= I made 8~9 cloze mistakes, and now there are 1 ~ 2 cloze, which contributes a lot, but remember to record new words in time and fill in the 553 English series, which is suitable for students in national papers to adapt to the questions.
10. The language "Three Steps to Classical Chinese" has innovative and practical classical Chinese materials, which are different from the general ones and divorced from the topic of classical Chinese. Some chapters in it are very useful ~ pay attention to summary ~ remind classical Chinese that there must be an accumulation book, and read it from time to time, otherwise it will be unfamiliar ~
1 1. English is not a teaching aid, but it is also good for college entrance examination English. New thinking of English grammar, from New Oriental, read in junior high school, now grammar is absolutely no problem. The language is vivid and easy to understand ~
12. All kinds of pamphlets of "Xiao Gan" are portable and more complete than the green card. Take the time to read them while waiting for the bus ~
13. Mathematics * * * Students in Shanghai should know it. I'm not from Shanghai, so I can only choose to do it, but the topic is good as a whole, but there are answers without detailed explanation. Please buy carefully ~
14. Mathematics (one round) "A Record of Mathematics Zhenti in the 37-year College Entrance Examination" is a pure dictionary of brush questions. The authors are well classified and the difficulty is improved one by one, which makes you feel a sense of accomplishment. Although the answer is not detailed, it is very intimate and funny ~ Meng Mengda ~
15. Mathematics (two rounds, but one question a day is better ~) "China is solving the finale of mathematics". It doesn't take long to see two questions a day. I don't know what the effect is, but the editor-in-chief really doesn't want it ~ it's just that the quality of the paper is a little poor
16. If you want to write the chemistry you think of, please don't spit it out. Zhejiang University's "Higher and Better Thinking Methods in High School Chemistry" vomited blood. Reading a few questions every day will greatly improve. Lectures on chemical thinking methods, not synchronous exercises. Suitable for basic commodities.
17. Biology textbook (yes, it refers to the teaching material), never let go of the smallest words, super super useful ~ Biology, except for the college entrance examination questions in recent years, don't brush too many questions, otherwise I will tell you with my blood and tears experience that TAT is not good.
18. Chemistry * * * "Special Topics in Shi Jing", chemistry is very good, knowledge points are comprehensive ~ topics are relatively basic ~
19. The knowledge list of chemistry (used to summarize notes) is still recommended chemistry. I took notes directly on it in the late stage of lazy cancer. But I won't do it. Too basic.
20. Mathematics (round) "The new curriculum standard college entrance examination mathematics questions are all summarized", the questions are relatively basic, and the general formula is very comprehensive. Belongs to the college entrance examination series. I also read the second round of review books in this series, which are good in binding and typesetting. If you are interested, you can go to major websites or Xinhua Bookstore to buy ~
2 1. English "English Core Vocabulary of Quyi College Entrance Examination", with 3500 words, detailed explanation, examples and extremely comprehensive usage. However, it is thick and suitable for looking up phrases in a dictionary ~
22. Physical Mathematics "Wang Jinzhan 36 Final" Physical mathematics, sprinting to famous schools must be brushed.
3. Recommended reference books Selected high school counseling bookNo.1The most talented counseling book "Chinese is too important for high school writing creativity" no.2 The most honest counseling book "Mind Map High Score Composition Method (High School) Argumentative Essay Raiders" no.3 The most cross-border "robbery" counseling book "Crazy composition wins in the material series 20 1 6th Edition no.6 The most perfect tutorial book Cambridge Intermediate English Grammar no. 6 The most explosive tutorial book Notes on Learning to Pass the Customs no.7 The latest sister's tutorial book Xiao Gan's Complete Memories of High School Knowledge no.8 The most weighty tutorial book Basic Knowledge Manual for High School 2 The most popular 10 high school tutorial book 1. This new textbook has been completely interpreted 2. Lightweight gold edition 6. Best learning mode 7. Middle school textbooks completely understand 8. Analysis 9. Problem solving decision 10. Meng Jianping Series 3 The most popular 10 set of high school tutoring exercises 1. Point in point 2. May 3rd (three-year simulation of five-year senior high school entrance examination) 3. Peking University Green Card 4. Point to point 5. Qidong Middle School Exercise Book 6. Class test paper. The best training mode 4 High school essential counseling books recommend the strongest inspirational books for the college entrance examination, and Taobao searches for "Butterfly Change of the College Entrance Examination" to buy a round of materials with answers. The round of materials and test papers distributed by our school have no answer analysis, and the materials without answer analysis are particularly liberal arts. If you don't do it, you don't know why it's wrong. What is he doing? 45 sets of star education gold test papers or 38 sets of Tian Li college entrance examination simulation test papers. Mathematics and English literature are the best. Four sets of red, yellow, blue and green papers for star education have been collected since your freshman year. The quality of this paper is very good. Worst of all, you should buy a new curriculum standard for your last class. Star is recommended. I feel that Tian Li's analysis of big problems is not very good. Students with math scores of 50 to 90 can sum up all the questions in the college entrance examination. This book can basically replace your first round of information. With it, you don't have to write a round of information. There are several supporting books behind this book. After 30 minutes, you can choose to fill in the blanks, penetrate the last three volumes of the college entrance examination questions, or make a fuss about Bourne education. I don't recommend making a fuss. It is more difficult to use mathematical formulas. Small and convenient, such as the small-scale test questions between 90- 1 10 of green cartoon mathematics, you can do one after the first period. At this stage, it is mainly recommended to make a set of papers that must be brushed in the college entrance examination. After buying 12 sets, the previous ones are not as good as Tian Li's 38 sets and Tianxing's 45 sets.
Alliance of a hundred schools, which emphasizes the practice of making small problems crazy. Can stars practice moderately? Although there are many papers on the market, you should never do pheasant papers and those papers improvised by star Tian Li. For example, the quality of the first gold test paper is generally low, and the mathematics is between 120 and 130. At this time, you should have your own understanding of whether the math paper is right or not. At this stage, you should not only make a set of papers, but also realize the key. Then there are many types of advanced books. 5 New product list of teaching materials and supplementary reference books for senior high schools: one question and one lesson: appreciation of good questions in senior high school mathematics; perspective of five-year college entrance examination questions: preparation manual for senior high school mathematics league; analysis of typical examples of problem-solving methods and skills in senior high school mathematics; history lesson for American special-grade teachers: cultivation circle of critical thinking and its application ideal tree; questions must be brushed in the college entrance examination; and a higher and better review manual for NMET mathematics should be strengthened through different types of questions. What guidance book is suitable for the new NMET 6 English translation and abstract writing with a score of 600? 1. physics: higher and better NMET physics (note NMET and self-enrollment version, not competition version), very good, suitable for students with good foundation. But if time is running out, don't look at it and concentrate on doing the college entrance examination questions, which was used to open up ideas in the early stage.
2. Mathematics (second round, teaching method) is still excellent in Zhejiang University. Many people should know "The Way of Thinking in High Mathematics", which is quite good. It mainly focuses on the finale of the method, but if you look at it selectively, it is a bit difficult without the basis of mathematical competition. There is also a series of classic topics selected by Zhejiang University, with high quality and large number of questions, which can be used to overcome weak chapters ~3. Mathematics (recommended for high school students in Grade One and Grade Two to synchronize their homework) "Have you really mastered the mathematics in the college entrance examination?" In short, this series is divided into four books, covering all chapters except trigonometric functions.
The topic goes from shallow to deep, the method of example is very good, and the language is particularly vivid. The amount of questions is relatively large, and brushing questions is also acceptable.
The most important thing is to help you think. Suitable for general courses "May 3rd" ~ 4th. The purple version B is recommended, with a large number of questions and moderate difficulty, while the red version A has a small number of questions and a large number of basic questions, so consider it at your own discretion ~5. General course (I recommend a fixed number of copies every week, I do Math 2, Physics 2, Chemistry 1 every week) "Gold Test Paper 45", I think it is better than Tian Li 38 ~ the title is quite good.
But pay attention, don't brush the simulation questions of Chinese and biology, it's useless, and the questions are very poor. 6. Biology and chemistry (one round) "Ten-year college entrance examination", recommending materials of biology, chemistry and pure brush questions, which are real questions, can help you build a knowledge network quickly, remember to read the answers carefully and record mistakes and knowledge points. 7. Physical Chemistry "Multi-functional textbook Physics or Chemistry" is suitable for top students who want to improve in senior one and senior two, but senior three dogs can't afford it.
You don't have to brush every question, otherwise it will take too much energy. There is a difficulty level on it, so just pick and write ~8. The pamphlet "General Examination Research (Round)" published in January has many little knowledge points that people are overwhelmed with, so we must do it seriously and remember it carefully! Sure! Really vomiting blood is recommended, especially good. 9. Gestalt and reading in English "Elegant English" are real questions, which are explained in detail, bound and full of happiness! I made 8~9 cloze mistakes, and now there are 1~2 cloze, which makes a great contribution, but remember to record the new words in time ~ the short cloze in the English series of May 5 and May 3, which is suitable for students in the national paper to adapt to the questions ~ (But there are still many mistakes, so students who care about this buy Qu Yixian Series, and the questions are the same) 5438+00./kl
4. Let the rank of the third-order real symmetric matrix A be 2, λ 1=λ2=6 is the double eigenvalue of A, if α 1=( 1, 1) t (1) because λ1= λ 2. 1, 0)T, α2=(2, 1, 1)T is a linear independent eigenvector of 6. Since the rank of A is 2, another eigenvalue: λ3=0, let its corresponding eigenvector be α = (x 1, x2. That is, x1+x2 = 02x1+x2+x3 = 0, and the basic solution system is: α = (- 1, 1) t, so the eigenvector to which λ3=0 belongs is: kα =1. (2) Let the matrix: P=(α 1, α2, α3), then: P- 1AP=6 6 0, ∴A=P6 6 0 user 20 17-. And the judgment of linear correlation or irrelevance. We need to know the relationship between the eigenvectors of a real symmetric matrix and the method of calculating the matrix when we know the eigenvectors and eigenvalues of the matrix. The teacher commented on this topic: the solution of eigenvalue and eigenvector of matrix. Test comments: It should be noted that for real symmetric matrices, the eigenvectors belonging to different eigenvalues are linearly independent and orthogonal. Scan and download QR code? 2020 ? Contact information: service @ Zuo Yebang? The protocol Var user city = "\ u53 17 \ u4EAC ",user province = "\ u53 17 \ u4EAC", Wen Zuo small = "1"; .
5. Let A be a third-order real symmetric matrix and satisfy A2+2A=0. It is known that the rank r (a) of A is 2. (1) Find a (1) Let λ be an eigenvalue of A, then: α = λ α, (α≠0), then: (λ 2+λ 2) α = 0, from α≠0, λ 2+λ 2. Because a is a real symmetric matrix and must be diagonalized, r(A)=2, so the diagonalized matrix is:? 2 ? 2 0=B So: all eigenvalues of A are λ 1=λ2=-2, λ3=0. (2)∵A+kET=AT+kE=A+kE, that is, A+kE is still a real symmetric matrix, and the real symmetric matrix A has a invertible matrix P such that P- 1AP = 2 k? 2 k, in order to make the matrix A+kE a positive definite matrix, only k-2 >; 0 and k>0, namely: k>2.