18 Ding Sicheng
If carefully read the white paper is an exhaustive tour in the park, then do a weekly question is free to choose to stay in the garden ornamental fragments. Every Monday and questions will not necessarily difficult, but all kind of interesting. Most of them for the promotion of certain issues, my favorite, it can be said to be the most representative is the ninth title in 16 high generation. There has been discussed in all curricular invariant subspace n eigenvalues of the linear transformation in the complex field, and that is the road Questions to discuss all invariant subspace field on the general linear transformation (about a promotion in the end) . The question I have a new understanding of the geometry of linear space. Some of the more interesting is a separate issue, as we have this session is the last question, which is a problem associated with the convex polyhedron cone, rich people give geometric imagination in low-dimensional case (and even make people feel very obviously), and this problem is the intuitive geometry of low-dimensional case is extended to the high-dimensional. But try to prove that we will find that this problem is actually insane, anyway, I did not do it.
In general, one question every week there are many places to give people inspiration, and I am more deeply aware of some very straightforward thing to deal with them by doing a very difficult question every week, while others appear to cook something very easy to handle (such as 11 on behalf of the 18 high), which is the weekly topic interesting places. You can always do a weekly question to explore new ideas, of course, sometimes familiar with existing methods. In addition to doing a weekly question harvest think the ultimate experience, from a utilitarian point of view, Zhibuding day the way you learn to use it?
In addition, submit a question every week is a week of fun and necessary part of a theme activities. From my high school classmates learned there to engage in competition with "polish" Liang Zi children, I really like, this is a question I submitted a week ago essential part. I do a question on the draft of this week is to open the picture, take a look at the special circumstances look feel, sometimes inspiration comes, think of the practice of the general situation, smoothly written on this draft. After writing the first check whether there is wrong, and then re-organize your thoughts, adjust narrative answer, then looking for a clean neat little write up a transcript. I believe my proof of "readability" must be the highest of the submitter, at least in large semester so. It should be one of the more polished improve it hard to do and the way to write a proven ability.
Submit a weekly question and Xie also get the opportunity to interact with the teacher (laughs), fall for the first time to do a weekly question time once wrote morning, then I made a lot of mistakes == somehow. After Xie marking finished, carefully pointed out the error, also told me one question more straightforward approach, and let me go back and redo. After such a back and forth, firmly grasp the problem on a lot. The first track in the spring to do a weekly question time I was somewhere made a very low-level errors, then a midterm details of a problem with this road is also thinking the same question, so I will not repeat midterm that mistake (Although ignoring the problem leads to another proof omissions). So pay up again revised marking will be a great harvest.
It is also worth mentioning that in the spring we submitted a week to answer questions in class the group. This can directly see answers to other students, can learn from other people's ideas, which wants much better than a single person effect. Different approaches can often be more of a series of knowledge and ideas.
Also spent one year as a question of the week, look back problem has troubled me for a long time, they have gradually become apparent, and thought their own thinking proficiency indeed been greatly improved. We thank accompany Xie year with a title every week.
18 Ye Yuyang
For me, every Monday title is like a very difficult challenge.
I remember freshman year when we discovered after this session is not a problem a week, one question each week to rummage thank the teacher's blog in previous arrangements, although the content was relatively simple to learn, but I still felt deeply every Monday difficulty question. At that time I already feel that white is more strenuous, but a lot of problems in the weekly question is more complex than most of the white paper on the topic. Difficult, this is my first impression of a weekly topic.
In nearly half of the semester, thank a teacher suddenly announced a return to the traditional title of a week, I can not help but feel very excited. Because I was relatively spare time, so every week to open a theme week for the first time, but sometimes a weekly question will be used not on the teacher in the class knowledge, so I'll wait until the completion of that part of the teacher the contents come back to do a title that week. Overall, probably would be turned over once a week every twenty-three weeks a question, but thank a teacher will be on a weekly question mark in detail, down to the ordinary people everywhere a clerical error, he will be difficult to find them circled. While some less good proof that he will point out how to improve, thanks to rethink this question after the teacher's marking, the original method to improve, I think it benefits greatly.
In my mind, has been to make a weekly question at this stage is as high generation study eligibility criteria, and therefore can not make each channel to the subject, I would think again. When a problem can not make every week, I would go looking through the white, see if it is what I did not grasp the method, what conclusions I did not pay attention, thinking about a question of the week, I tantamount the contents of a title belongs to do a weekly review. Indeed, there are a lot of questions every week is an adaptation of the White Paper on the subject or strengthened. Monday entitled to make a white object is read, indeed to some conclusions on the White has a new experience, so in the process, I became more profound understanding of high-generation content. Apart from this, one question every week there are many interesting topics, they may be subject and style of the White Paper on very different, there may be a strong geometric background (such as a large white look of the last question), they are deeply attracted me. After each question a week to make strenuous twists and turns, but also gives people a sense of accomplishment full, which is usually never have time to do the exercises.
To the next semester, thank a teacher's question at the beginning of each week submitted online, it also gives us a good opportunity to exchange. After sometimes when I can not make the topic will be "secretly" slipped Banqun online forums to see how many students submitted answers, whenever I find there are so many students are made subject, I would dingy closed the forum, forced himself to think again. Very strange, there are some questions a week that is implied in this heart made of. When submitting a question every week to see answers to other students, but also very rewarding. Although sometimes we approach the monotony, but most of the time you can find some ingenious approach. In normal times, everyone for the exchange of high-generation title is also very limited, and every Monday problem is to provide such a good carrier, to provide high generations to share in virtually topic, you can also feel deeply in a variety of ideas in Multiple Solutions charm by a high generation title.
For me, one question every week there is a very important - to overcome the "inertia" when do problems. Because in peacetime can not make next title will have a "hint" or answer, I often can not make the time for a long time to turn to look at, and sometimes really too easy to see. After seeing the answer I often think, in fact, this topic is quite natural idea, think again think of the chances, then I would regret that he did not think sufficient. Monday features a big problem is that it does not publish official answers (in addition to the last question about the large), do question of time is relatively well-off, so I have time to make themselves fully thinking, which gradually trained my habit of thinking independently. Because I really stupid, too lazy, unlike some of the heavyweights in advance prep too fast answers to a question a week after the contents of a weekly question involved, I always take a long time to think again, free when it will take a few minutes to think about it, sometimes thinking Within a week (Yes, I was stupid), I would not look at the students answer, choosing instead to think of a few weeks. It made me understand some topics I really was not thinking, some problems really my skill is not enough. For example, it's a big positive definite matrix determine the subject, I probably should be to understand the plot to prove within the structure, but after thinking for a long time still did not think the right way, the next time you see the reversal of past students answer, it will be more where to understand that he is thought to understand. There are a lot of questions every week, especially about the large number of topics with a tricky, though not made, but I still feel benefited.
In short, for me, a weekly question has been urging me to learn high-powered generation. Although people adhere to submit a question of the week failed to reach Xie expectations (there may be some bigwigs do not need to do it after that teachers mark), but I think seriously every channel every Monday and submit a question still very necessary.
18 Zhang Sizhe
Xie's a question each week to accompany us a year to learn advanced algebra valuable material. Thinking published every weekend always gives to the question of expectations, but the calculus for a long time can not comprehend the experience, do not bring some "bitter" from time to time.
From the relatively simple sense, using his new knowledge and methods learned to overcome the challenges of a difficult problem and it should be is a kind of mathematical child's favorite simple pleasures. Just remember to school soon, because I made a mistake and roommate class leadership meeting time to reach the 1403 half an hour earlier, so we use it for half an hour and classroom blackboard, calculate a determinant title 17 of the high-generation I; end of the first semester that day, I decided to first experience the three religions brush nights to celebrate the arrival of winter, but open 18 one question every week even begin to do four ended in failure, as the night really adds a lot of rue.
Of course every Monday title role is not to act as a tool to kill time or certain types of math games, it is for the generation of high learning are an important and multifaceted. On the basic level, the deduction of these rather difficult process of forcing myself thinking questions in the application, the concept of the new school, Theorem has a very clear understanding, to avoid wrong deduced with some bad results. In the process of doing a weekly question, it is also often accumulate some very useful tips and conclusions, or think back skills, problem-solving process at the conclusion of these great help for the whole learning process. Even if ultimately failed to solve Questions and feel "bitter", where the harvest is real. Moreover, as these Questions are often several solutions or a variety of proofs, which also has a high value to explore in discussions with students often gain new ways of thinking; for example, while a seventh title this week semester title and twelfth questions require new learning method to prove, but also to broaden thinking.
This semester submit a question in the form of weekly classes as upload pictures to the group, on the one hand more brainstorming, the students learned a variety of Proof, but also makes every time I press the "upload" button when there is always a bit nervous sense, after all, answers may be examined peers, of course, also Forced written as tightly as possible to prove his term as accurate as possible, it is also quite beneficial for rigorous thinking of. However, due to their own problems a week in peacetime mission excessive backlog common courses of a door near the end of the period gradually fall into the "behind closed doors" that "kick the tires", which leads me to deeply mastery of content before the ninth chapter was not as good after all, "inner product space," the chapter concludes range of experience to apply these challenges temper even more freely.
In the process of doing a weekly question, the thank a teacher gave the students a great concern. Xie eleven always give timely feedback on the lesson after the group submitted a question to answer each week. See their answers get Xie Reply "right" can be said to be "happy moments this week," but prove problematic when, Xie pointed out and will give guidance to correct accurately. In addition, at the beginning of the semester when I neglect to ponder one question every week, thank a teacher also directly submit remind me to do and it is almost never receive this urge to go to college after me have a sense of "sobering", the stimulus I think hard about these topics during the semester.
Finally, I wish a weekly theme can bring students more simple pleasures number of homes in the future, to help bring greater!
18 Xie Yongle
Freshman first semester just started doing a weekly question time, in fact, try holding the mentality, after all, his talent and infrastructure in general, and always feel that this is a problem for those who think the great God to do. But when I really struggled to come up with a solution and put it to be written down time to pay up, it will make little sense of accomplishment and I began to look forward to next week's one question every week, and gradually make one question per week every weekend has become habit.
Do experience a little different from the usual problems of a week to do exercises on reference books, usually I do not question if the half past thinking I basically went to see answered, after a week and a weekly question a question, all of a sudden does not want to come out and always feel a little bit unwilling to give up, so I often think is a question for several days. In the process of thinking puzzle unconsciously deepened the understanding of the concept of knowledge to master proficiency and often crucial step for a final settlement of the issues involved is impressive. In addition to the more difficult questions, one question every week there are moderate difficulty but typical, or has a deep background of the question, so in the process of doing conclusion can accumulate a lot of small, small way, in order to expand their own problem-solving. " skill package. "
In addition, a weekly question also provided between a good student teacher communication platform. In the high group Xie substitute teacher can see other students sent to the answer, thank a teacher can see the feedback for the answers, which are valuable learning opportunities. Sometimes met to draw up the questions, I would always do and several classmates a question of the week, such as Chen Yujie classmates, his mind was jumping, always give me a lot of inspiration. Since discuss a weekly question, I also met a lot of new small partners, such as Wang Jie Xiang classmates, he often can raise new questions on the basis of solving the existing problems on and make the promotion of this before I do not have the habit , and their communication to make me a lot.
Submit answers to a question a week is also an opportunity to exercise their own writing process. I submit the answer often is La La weave that a lot is still unclear, every time I see other students put a few words to solve the problem always feel ashamed. Sometimes the letters come in a week, many questions, or require complex operations of questions, how to put their ideas in a concise and easy to understand mathematical language to express is a technology live. Sometimes the answer can not be written or wrote half found little say for sure, but think of this is to allow students to upload pictures to see all the answers, so he had to start over, not vague clearance. So this bit of progress in the iterative process of slowly accumulated up.
Xie's a short week to question my freshman year of school life add a lot of luster, but also very grateful Thanks for your attention and taught since the handsome one year. Originally college teacher I always felt a great sense of alienation, but thank handsome Mentor gave me the feeling: he would affectionately call me "brother capitalists," I will also review the time for me over to help autistic . I sincerely wish to thank handsome one question a week can do better and better!
18 Li Zhe Wei
Xie's one question every week is a major feature of his teaching. He uploaded a question on the blog every week for interested students to think. These issues have to study basic conceptual understanding, students have the computing power of the study, a summary of some commonly used techniques, there are some challenging puzzles. Do not put a title as a burden or weekly task, because the process of doing a weekly question itself is the knowledge learned review and sum up, even if ultimately unsuccessful resolved, constantly thinking and trying to also must be able to deepen your knowledge understanding.
This year, Xie opened an online course, from the original written on paper to answer a question submitted to the teacher changed weekly uploaded to the group lessons in class. The advantage of this is that you can see other students to answer the purpose of this question, which develop their own ideas and their own knowledge to find what area is still not grasp the position, conduct leak filled. Xie also from time to time to mark a week to answer a question, pointing out some of the problems of the students, to help you progress.
A weekly question need to think again, at different stages of learning might be the same tract problems have different interpretations. At the beginning of this topic may not feel anything, but after a few weeks, as the depth of learning, some more thorough understanding of the knowledge, might produce some ideas. This question is even if made, should think more can a given problem, can not be subject to the conditions and make some conclusions expand ...... mathematics learning requires its own unique perspective, and one question every week just to the students It provides a platform for all to think deeply.
Answers to write down every Monday. Sometimes you looked at the topic that he would do, but in fact may prove the existence of loopholes, and read, read, often I would find the idea of place is not rigorous. Uncertain prove the existence of a problem can also communicate through the course platform and thank the teacher and other students. Do not fear mistakes, only to make their own mistakes to improve.
I admit, do a weekly question is a painful thing, no matter how sometimes a question could not think, read answers to other students in the class group only to find themselves how much food. But sometimes there will be a question of different ideas, or even more than a given problem, then and very rewarding. In short, the need to adhere to a weekly question, if the fear of thinking that will never make progress. (Although I only had about two-thirds, but more to do, more certainly harvest!)
Finally, still have to thank the teacher can sense provides us with such a valuable every Monday at busy apart Homeschooling problem resource, the students of high generation foundation is more solid and do better prepared for the future more difficult deeper learning courses.
18 Feng Qing
Almost According to the teaching of the progress recently, Xie posted on the blog every week every Monday title. Monday question can be said is a development and overstating our advanced algebra course, these Questions are very flexible, mostly with considerable difficulty and skill, some even on issues related to the process is very important and very useful method to study or conclusions . Weekly exercise a question my ability to study the problem, there are several face a difficult question every week I even spent a few days of thinking finally made repeatedly, to get a full sense of accomplishment as well as some of the classroom knowledge learned a deeper understanding. I will often talk about a topic a week with the students in the second semester are often seen in advanced algebra class group of other students on the line a weekly question solution, let me know if these other students on these issues different way of thinking, the same a very interesting thing. Of course, I must admit that, in the entire freshman advanced algebra learning process, I did not actually make good use of a title every week, when I am just thinking of these issues, but does not really sort out ideas to write answers and submit to the class group to see the other students did not answer the habit stick to it. If I can make better use of a weekly question, I should have a knowledge of advanced algebra and methods have a better grasp.
Very fortunate to be able to hear the teacher's advanced algebra curriculum Xie freshman. Overall, I feel like I'm a freshman come into contact with two courses throughout the year advanced algebra and mathematical analysis have very distinct characteristics. House mathematical analysis of teacher often took us out of the current framework, from a higher, more abstract point of view of the nature of a problem, often even feeling a little abstract; and contrast, Xie's advanced algebra is a bottom-up process to gradually build up the whole system of tight, interlocking between Calvary section, clear logic. On behalf of high class, thank a teacher always explain what the next chapter or chapters overall problem to be solved is, theorems and propositions will clarify their narrative context rather than just the proof. Listen Xie higher algebra class, more than just knowledge and methods to learn advanced algebra, but also understand the mathematical process of exploration and creation. More difficult year later, advanced algebra lesson well sparked my interest in mathematics, so I'm more passionate commitment to after learning courses.
18 Wu Chau Tung
Monday question is to me, not only supplement the continuation of curricular knowledge, but also to build the entire system of higher algebra very important part, but also provides a between teachers and students, between students the opportunity to communicate with each other.
The first semester for the first time to do a weekly question time, I have great interest (after all, made out, the first question usually is relatively simple), then they gradually encounter difficulties, when she was more introverted, I did not think the topic timely exchange of students and teachers, twelve weeks in the past can not help a little discouraged, for one question per week reduced the enthusiasm, until just before the final exam again "pan do", although it has done a lot of problems, but still feel some "waste" these good questions, not their own can trigger further thought, the thought process of some of the topics there is also a serious problem. After the second semester, I basically can seriously think about one question per week per week, in addition to doing the question itself to dig something on thinking: Xie Shuai out of this question is to examine what capacity? This problem is not to expand the knowledge of a point? These problems have wanted after a kind of "fun" feeling.
For me, the title of a weekly question is too difficult, so it is very interesting. Some topics seem very simple, in fact, often hidden "trap" or he "wanted less" exposed the vulnerability of some ways of thinking; some questions seem no idea, this time on his own in-depth understanding of the requirements textbook concept and wherein a contact, and then peruse them master the skills white paper, so that it can overcome. In addition to doing problems, but also a way to be able to "find points", "Find contact", it is best that they can promote, or does not meet on their own. Generation II high of a problem and textbooks, more white papers weekly contact, such as 2019S05 supplementary question is related to similar elementary transformation, the difficulty of course not, but it is quite unimportant.
In addition, the "hands-on" opportunity of a weekly question for me too precious. In front of a high generation II title a week I do the very "smooth", have been satisfied, only to thank the teacher after the first round of correcting, the first four questions wrong, I actually two questions, some errors can be described as naïve, then they really "cold sweat oozes "be a good experience what is called" Do not write, and apparently easy to prove. " I take this opportunity to correct some of his long-standing habit of thinking problems (such as second-order matrix characteristic value satisfies a quadratic equation a discriminant greater than zero, it is not necessarily two distinct eigenvalues of this equation is root) and written in non-standard / long-winded, some of the details of a higher requirement. Then one question every week there have been no such problems again, this test also has some help.
Weekly networking opportunities provided by a very important question, a question of high generation II is made on YOOC weekly group classes, you can see all the different chiefs answer by taking pictures, taste their ideas, you can also learn from their writing ( Ding Sicheng particularly simple process Gangster), to improve their writing habits; in addition, the exchange of teachers and Xie door is certainly open, 2019S07 have heard this question before Xie tips to do it, was also robbed once "first", some joy, but in a multi-teacher exchanges and in this regard it is still not good enough. Later, in addition to a weekly question, I have a good teacher's blog and read the papers which mentioned some teaching, adhere to most of the semester, definitely feel the clear thinking, logical system has also improved a lot.
Here, too, thank you once again feel the teacher's careful guidance and dedication, he did not find time in his busy schedule and marking the topic, one question per week this semester of high generation I may not even exist (the teacher is too busy Well), himself there will not be much gain and visible progress. Here again the way Amway wave Xie line under exercise class, even if it is talking about the white paper on the subject, the teacher can sometimes get different ideas and ways of thinking.
It is said that the significance of mathematics is the truth because it is there; the same, one question every week and there it is, why not think of crystal embellishment for it?
18 weeks sparkle star
Xie's a question a week to accompany us through the freshman year. Monday question let me point to the knowledge of advanced algebra grasp more firmly, let me know more of the advanced algebra problem-solving skills.
Xie made the problem a week is one of my more memorable freshman memories. Xie's one question every week cleverly designed, some problems although relatively simple, but also has a strong skill. There are many topics is more difficult, and may even have to think about twelve days or three days to do it successfully. But these tend to be more difficult problem, when people do it more rewarding, high generation of learning enthusiasm and confidence often also increased.
It is not only a question then of a week, thank a teacher on the blog there are many very good topic, the main problem is every Monday and midterm and final exams of previous years. Usually if you learn how out of time, thank a teacher to open the blog to do some previous years, the title is also a good choice. The other is at the end of exam week, after the non-professional courses finished, there is a long period of time will usher in the exam courses, exams and high generation tend to be in the final, at this time if the review has been completed books and white papers you can do about a problem and the weekly period ending problem in previous years on Xie blog, on examination there are no small help. A lot of problems, quality is also very good. With a wealth of good books and white papers as well as on Xie blog resources, high generation learn absolutely no problem.
Thank a teacher on a weekly basis publish a weekly blog title and group lessons, and adhere to correct answers submitted by students, this is actually not a small amount of work. Thank you a sense of the teacher's hard work pay, can we have a problem so it opens up a weekly promote thinking, progressive upward platform.
17 turn professional Chen Ke Island
I turn professional student, sophomore primaries by listening to free participation in higher algebra. Because freshman learned online courses Xie and submitted the job on time, will not have the entire sophomore class to class, do not look at the video to learn, do not have homework, a weekly question has become a matter of course I understand classroom progress and further learning an important tool in higher algebra.
Because of the high generation I is relatively simple to understand classroom progress relatively less important to me. This semester's a question of the most important week for me is to help me learn more than sophomore courses, the high generation I review the various skills (to some extent reduce the pressure to review the exam). A problem entire week high degree of difficulty generation I is relatively large in previous years, it is not difficult, but there are also impressive topics, such as the second question. The title is actually "alternative approach" followed by an example of the white paper mentioned in the small print. Tips required to do with Vander Monde determinant, but I think a week is also thought out how to deal with. Later in online recitation went to Xie to a "further" suggests that this problem only then do it. This method thus left me a deep impression.
To the high generation II, due to the high and knowledge generation I hard a lot, I often need to schedule a pressing problem of re-weekly reading materials and white papers. High generation II of title I do it too high and on behalf of a lot of difficulties. The seventh title, eleventh and fifteenth title question I have thought hard to find. Later Q7 saw his teaching thesis under the guidance of the teacher Xie, successfully made this problem. Eleventh and fifteenth title question is really difficult for me, then we can only thank the teacher and other students to learn the answer, but this learning process also taught me a lot.
Xie of our students make weekly situation question is of particular concern, he would read each student's answer to upload and points out the problems or suggest areas for improvement. For example, high generation II of the fourth question, after I wrote to simplify the problem persists for a long period of proof was given, but Xie pointed out that a direct reference to the conclusions of the White Paper on the simplification end. It can be seen that I have read the White Paper is not too thin, also tells us read the white paper is an important way to flexibly apply what they have learned.
Finally, thank you very sense of the teacher's a question we do not have classes every week for these students do not have to submit a job offer usually touch the Advanced Algebra "reasons." I believe that in the future students will like us more and more, I hope you can continue to help them grow and learn every Monday problem!
17 days to turn professional Liu Hang
Do a high generation problem is interesting week. Of course, this is not saying that it is very simple, on the contrary, high Monday on behalf of the problem is difficult. It is often not a direct reference to examples of the white paper, but blend with a variety of methods of deformation. To make a high-generation title a week, conditions are usually required to be given the title changes, was able to get a glimpse of methods and ideas behind the title implied.
I'm not the kind of quick thinking of the people, and the high school competition, but also learned a little fur, to answer a question on behalf of a high challenging topic this week is no advantage at all, and in fact I will spend a lot of time to solve, but no doubt, make a weekly question I can improve high generation of problem-solving ability. Since I primaries high generation is free to listen to, so usually not high on another course, also you need to complete high generation operations, which makes me think of a way that they must be high generation of exercise. By this time, this topic once a week it will become my way of exercises to consolidate a high generation, but also so that I might not fall high generation of knowledge and problem-solving methods.
Every week got a problem, I usually spend more time thinking about or afternoon, conditions continue to be given the title of deformation, the various methods known to own one by one into it. Of course, the result is often frustrating, sometimes suddenly feel that they want to understand, hastily written on paper, but read, read, but found that he had made some very low-level errors; sometimes constantly thinking, always felt what difference but hard to explain; sometimes there will have solved the problem but was not aware of the situation; however, more often without thinking, the problem can only be left to the next day itself. However, it also did not do and will not let nothing, but rather to the process of constantly thinking of when to make a variety of topics and methods of application and try to get me a lot. If not for hitting, exchange one question per week and students can also gain a lot of new ideas, and sometimes other students answers but let me marvel.
Anyway, do a weekly question is a very interesting thing, and the process to work out the problem and continue to think the exchange is the biggest harvest I get from a weekly theme.
17 turn professional Wang Xiang Jie
Xie carefully launched a weekly question is usually a useful supplement to class content, but also test our students turn professional online learning courses effective way.
First of all, one question per week can help us better understand the important theorems and techniques of high generation, such as application CH theorem ([problem 2019S06]), application syllogism ([problem 2019S09]), while contracts diagonalization ([ problem 2019S14]), and so, after reading the white paper and then to write a weekly question also reflect the extent of their own to master the book knowledge, so when more targeted review.
In addition, one question each week to better expand our thinking, such as [question 2019S13], the nature of this problem with the trace of the easiest to answer, but let us thank a teacher with "orthogonal real symmetric matrix similar to the standard theory to prove" while deepen understanding of this knowledge has also opened up our thinking, and [the problem 2018S07], [question 2017S06] and so on as well. We can also learn answers to other students after making the subject. Since we are in the process of self-learning will inevitably focus on the knowledge to master some point, while ignoring others knowledge, to better help you in the process to establish a knowledge-generation high learning, Network access, we the idea also because of thorough exchange of views and a more profound and sensitive.
For me, thank a teacher's weekly question is not only taught me one clever solution, it is way of thinking about the problem, namely how to catch the essence of the problem. As [question 2019S11], the White Paper will be extended to more general examples of the case. I first saw the White Paper marvel at the skill Cauchy determinant of when this problem results when I saw this question fell into a rigid thinking, the idea has yet until Ding Sicheng students read the answer was suddenly, this let me also realize that they can not geometric and algebraic methods ideological significance through integration, algebra and geometry into each other also through generations in a high school studies. Inspired by this I usually read the white paper can also try to condition or generalized conclusions, think about their approach is the essence of the method is only applicable to special circumstances, and will explore their own ideas with the students, although often only come Some extraordinary results, but the process also deepened my understanding of the high points of the knowledge-generation.
Finally, I would like to sincerely thank the teachers feel a hard year to pay, in helping us lay a solid foundation of algebra apart let us appreciate the beauty of mathematics.