Mathematics is not saved Is there anything that can save liberal arts mathematics

I also chose liberal arts.

First of all, the basic concepts of each chapter of mathematics should be understood. Knowledge points should be clarified. There are books in the MS bookstore that have combed the knowledge points, so you have to read them carefully when you buy them!

And from now on, I will do the practice papers that are sent out every time. Fill in the blanks in the small questions, except for the last two multiple-choice questions, and all the others must be understood and done. You have to be able to do all the calculation questions in the back (except for the teacher who says that a small question is difficult), and the last big question only understands the first question.

And so it persevered. Rest assured, you will definitely be able to pass 120 in mathematics (out of 150) in the college entrance examination, and of course, you will also have to ask the teacher. Don't be ashamed to speak up because you're not good at math, learn to be thick-skinned.

Anyway, in the end, the results are your own.

In short, start with the basics.

I wasn't good at math at first, and I scored 145 in math in the final college entrance exam.

From now on, find a small notebook to write down the questions you did wrong.

Understand, all the way to the college entrance examination, you can do it.

I'm also a literary student! When I was a sophomore in high school, I realized that mathematics was terrible, and I couldn't figure it out because I was competing with the teacher at the beginning! Regret it too late...

But the hard work pays off! During the college entrance examination, I said to a student next to me who claimed to be good: Dude, I can't do math, and the exam depends on you.

As a result, I read 11 multiple-choice questions at 2 glances, and I easily got 55 points to get it, but the premise is that I have also worked hard, haha, there must be a road before the car reaches the mountain, but the process of walking is also a process of growth and enjoyment.

My math is passable, and I can score 120 points on a 150-point question. My methods of learning mathematics are: 1. Do more problems.

Especially the real questions of the college entrance examination, easy to make mistakes, as for the difficult problems, there is no need to do them, and give up if you should give up. 2. Just listen attentively in class. Secondly, you must have a good teacher who can arouse your interest in class.

3. Read more books. In particular, you must understand the formulas and basic questions in the book. 4. Have a good information book.

I think "Famous Teachers Accompany You" is good, I use it all the time, you can also try it. I hope mine is helpful to you. Add mine if necessary.

I'm a math whiz! In fact, it is very simple, if you want to learn mathematics well, you must first like mathematics. As long as you have free time, do more math exercises, because math is to do more problems, and you can't be lazy.

When you see that you are praised by your teachers for your progress in mathematics, you will find that you have fallen in love with mathematics and will naturally become more and more interested in learning. When the time comes, it will be difficult to pass the exam! Trust me! —_

Isn't it, making a friend? Now I am a freshman in high school, and I took a 149 in mathematics, unfortunately, I think you should buy a more authoritative book, and then, carefully understand the example questions, not limited to books to do more questions, pay attention to the way of thinking about problems, such as: number and form combination method, function method and so on!

I think you can find a math tutorial book with some difficulty, use your spare time to study difficult problems, and ask the teacher for advice if you don't understand. Friendly reminder: Due to the heavy homework load, if you can't do it after studying a problem for more than 20 minutes, please put it down for the time being.

For multiple-choice questions, you must not be empty, then there is no hope. If you fill it in, you can still have a 25% success rate.

I chose science, and math is harder than yours! Hehe! If you have any questions, you can help

Tick s=sin,c=cos,'3'Table 3 prescriptions. mn=cwx*swx+'3'(cwx)^2=（1/2)s2wx+('3'/2)c2wx+('3'2)=s(2wx+vulture 3)+('3'/2)。Period: t=2 (2w)=3, w=3, f(x)=sin(2 vultures x 3+vulture 3)+('3'/2)。

2k-vultures 2《2 vultures x+vultures 3《2kvultures + vultures 2, multiplication 6 vultures to denominator: 12k-3《12x+2"12k+3, monotonically increasing the interval k-(5 12)"x"k+(1 12). k vulture = 2 vulture x + vulture 3, x = k 2-(1 6), symmetry center (k 2-1 6, 0).

The main thing is to use a formula, if it is an odd function, f(-x)=-f(x). -x cubic + px -

9qx+p+q+3=-x cubic -px -9qx-p-q-3 simplification of the formula px +p+q+3=-px -p-q-3, this formula is an identity, so the coefficients of the corresponding terms are equal. You see, p must be.

Therefore, as long as it is an odd function, the coefficient of the even term is 0. As long as it is an even function, the odd coefficient is 0.

There are basis functions.

f(x)=f(-x)

x^3-px^2-9qx-p-q-3=-x^3+px^2-9qx+p+q+3

px^2-p-q-3=px^2+p+q+32px^2+2(p+q+3)=0

The above equation is true for x in any defined domain.

Therefore, the coefficients of x-squared 2p and p+q+3 must be constant equal to 0, so the coefficients of the even terms of the odd function are all 0, including the constant term.

Of course, this is limited to polynomial functions and some functions that contain even terms, and this is not necessarily the case for other functions.

I don't know how to ask again.

f(x) is an odd function.

f(-x)=-f(x), i.e., f(-x)+f(x)=0x, 3+px, 2+9qx+p+q+3-x, 3+px, 2-9qx+p+q+q+3=0

So 2px 2+2(p+q+3)=0

To make the above equation true for x in any defined domain.

Then the coefficients of x-squared 2p and p+q+3 must be constant equal to 0, and for polynomial functions and some functions containing even terms, the coefficients of even terms of odd functions are all 0, including constant terms.

y=k(x+1)+1

y-1=k(x+1)

When x+1=0 and y-1=0, the equation always holds regardless of k's change.

In other words, the straight-line transition is as determined by this point (-1,1).

This question is not very difficult, I am a science student, so it is considered medium difficulty. It's just that it's more strenuous, and it's very difficult to enter the math here, and it's hard to understand. That's about what it looks like.

I won't talk about the first question, and if you don't know the first question, you don't have to read it below.

Here's the second question you set the coordinates of point p, (m,n).

m²/4+ n²=1 (-2≦m≦2) ①

Note: is the square of m and the square of n).

Vector pf1*pf2=m -3+n =3 4m -2 Combine The two equations obviously have a minimum value of -2 and a maximum value of 1

As for the third question, it is logical, you look at the triangle pf1f2

Using the cosine formula, we can get cosa=(b +c -a) 2bc

cosf1pf2=pf1*pf2(vector product) (absolute pf1*pf2).

Absolute value pf1*pf2) = (pf1) + pf2) -f1f2).

The value range of COSF1PF2 can be obtained by the two formulas.

I won't go into detail here, I hope you forgive me. I am a student of Northeastern University, and by the way, I would like to recommend our school here, and I hope you will apply to our school.

This is 22 questions, and the last question is not too difficult, according to the definition, and the second is to set the angle.

The basics should be practiced more.

Although I am from Jiangsu, I think the study of mathematics should be similar.

First of all, listen well during class and pay attention to the teacher's summary.

Secondly, the key point is not to do the question, it should be the wrong question, the wrong question is your weak point, I recommend to do the wrong question set, because the wrong method will remain in your mind for a long time, and it must be corrected more than three times to change. It is best to include a summary of the solution strategy and method next to the wrong question.

Then, you have to practice, practice is to improve your sensitivity to the problem, so that you can use what you have learned flexibly, and you can also improve your calculation ability, you must know that calculation is also a very important part of mathematics, not difficult but killing many people. Don't practice purely for the sake of the questions, because you may do the same questions in the usual exams, but the college entrance examination is absolutely impossible, so you must summarize.

Also, don't ask the teacher if you don't know it, what you get is just not yours, you have to think about it yourself, and then tell the teacher what you think is wrong with your own ideas, and then summarize it.

Finally, you must have no distractions when taking the exam, only in this way can you play well, pay attention to the basic questions, because the basic questions and mid-range questions will account for a large proportion, as long as you do a good job of the basic and mid-range, there will be no big problems in mathematics.

In short, mistakes, exercises, and communication are essential links.

Analysis, summarization, reflection are the conditions for progress.

But if you try hard but it doesn't work, you need to look at your study method. I think the most important thing is what the teacher talks about in class. Summary and induction, there are only a few knowledge points in each section of high school, and the type of summary and induction questions.

Progress is a slow process. So don't rush to see the results, stick to it every day, and you will always see the results. Science, I don't express it much, so that's probably what it means.

The question is not about how much, but about doing it carefully and carefully, so that you can remember what you did yesterday and remember today.