The third question of junior high school, mathematics, gives 30 points,

If the ABE area is the smallest, then the AEO area should be the largest, that is, the OE should be the largest.

And OE = OA*tan OAE, i.e. OAE should be maximum.

Either a straight line intersects a circle at point P, for APC, the sine theorem is applied.

sin p:ac=sin pac:r, where ac,r is a fixed value.

sin pac = sin p * ac r ac r if and only if p is at right angles, the above inequality is equal and sin pac has a maximum.

pac is an acute angle, and the sinusoidal function is an increasing function in the first quadrant, and therefore also the maximum angle.

ad = √(ac^2 -cd^2) = √(9 - 1) = 2√2

tan∠oae = cd/ad = 1/2√2 = √2/4oe = oa * tan∠oae = 2√2/4 = √2/2be = ob - oe = 2- √2/2s△abe = be*oa/2 = 2(2-√2/2)/2 =2 - 2/2

In RTΔAOE t

oe/oa=tan∠oae

OE=OA Tan OAE=2TAN OAE So when TAN OAE is maximum. OE is the largest, BE is the smallest.

And when AD is tangent to the circle O, the OAE is the largest, and the Tan OAE is larger.

So when ad is tangent to the circle o, be is the smallest.

If you don't understand, you can ask Helpful, I wish you progress in your studies, thank you.

Crossing point A can make two tangents of a circle, one crossing.

One, two, four quadrants, the other passes.

One, three, four quadrants.

For the first tangent line, the position of e is closest to b, so be is the shortest at this time;

The second tangent, the position of e is farthest from b, so be is the longest at this time.

The problem needs to be the minimum value, so it's the first tangent.

As for why the point e can't go up and get closer to b, it's because the point d must be on the circle, and if e is going up, the straight line ae has no intersection with the circle, which is not in line with the topic.

I don't know if the landlord can understand

Have fun! I hope it can help you, if you don't understand, please ask, I wish you progress! o(∩_o

Since the length of OA is a fixed value, if the area of ABE is the smallest, the length of BE is the shortest, and AD is tangent to . CD can be connected, and in RT ADC, the length of AD is obtained by the Pythagorean theorem, and the area of ADC can be obtained; It is easy to prove AEO ACD, and according to the square of the area ratio of similar triangles equal to the square of the similarity ratio, the area of AOE can be obtained, and then the area difference between AOB and AOE can be obtained, and the solution can be obtained

Let the coordinates of point d be in the second quadrant.

The equation for a circle (x + 1 ) 2 + y 2 = 1 Let the d coordinate be x1 then y gives the linear equation x - 2 y = 2-x1 - ( x1 + 1) 2 ) under the root number

Point e coordinates 0,y

y = 2( 1-( x1+ 1) 2 ) 2-x1 according to this idea The parabola vertex is the largest, and x1 = 1 3 can know that cd is perpendicular to the da line, so we know.

Because when AD is tangent to a circle, the angle between AD and the X-axis is maximum. And because OA is fixed. So, the bigger the angle, the bigger the OE, so the smaller the BE, and if you do want a company, you can consider the TAN angle OAE

Triangle area = so the area is smallest be the smallest.

According to the figure, only ad is smallest when the second quadrant is tangent to the circle.

To make abe minimum, eao is to be maximum.

To make eao maximum, d needs to be on the circle c, then when the d point is the tangent point< EAO is the maximum.

Summary. Classmates, approaching the high school entrance examination, suddenly realized the importance of the exam, although the time is two months, the exam is only 30 points, but as long as you hurry, there is still a chance. As long as you think about it and are willing to endure hardships, you will definitely be able to do it. Grit your teeth and never give up.

First, be familiar with six mathematics textbooks, which must be completed within 10 days. You scored 30 points in the exam, and I estimate that these six books have not been translated at all.

Clause. 2. Keep up with the school's review progress, and do your homework according to the quality, and do it well during the day. When you encounter a problem, you must ask the teacher in time, ask a few more whys, and organize the notes of the classic question type.

Clause. 3. We must pay attention to the school's weekly and monthly examinations and mock exams. When determining the goal of each time and issuing the score, you must carefully analyze the test paper, find out what you are wrong and why you are wrong, and figure out the ins and outs.

Clause. Fourth, Mr. Fang usually does not recommend that you blindly brush the questions. On the basis of your familiarity with the textbooks, it is indeed a good way for you to brush up on the real questions of the local past exams at this time.

Clause. 5. How to brush the past questions? Go to the book store to buy a local copy of the past high school exam questions, you can buy a few more copies, or buy one and come back to make a few copies. Buy the answer in detail. For each set of test papers, do the questions according to the time requirements of the exam, and then correct them against the standard answers.

What should I do if I score more than 30 points in the math test in the third year of junior high school, and I will take the high school entrance examination in a few months.

Hello, I am Mr. Hu, a professional educator, who is involved in all aspects of the education field, and has helped thousands of people with 1v1 consultation, and is a special person on the platform, I have seen your questions, please wait a while and answer them for you.

Classmates, approaching the high school entrance examination, suddenly realized the importance of the exam, although the time is two months, the exam is only 30 points, but as long as you hurry, there is still a chance. As long as you think about it and are willing to endure hardships, you will definitely be able to do it. Grit your teeth and never give up.

First, be familiar with six mathematics textbooks, which must be completed within 10 days. You scored 30 points in the exam, and I estimate that these six books have not been translated at all. Clause.

2. Keep up with the school's review progress, and do your homework according to the quality, and do it well during the day. When you encounter a problem, you must ask the teacher in time, ask a few more whys, and organize the notes of the classic question type. Clause.

3. We must pay attention to the school's weekly and monthly examinations and mock exams. When determining the goal of each time and issuing the score, you must carefully analyze the test paper, find out what you are wrong and why you are wrong, and figure out the ins and outs. Clause.

Fourth, Mr. Fang usually does not recommend that you blindly brush the questions. On the basis of your familiarity with the textbooks, it is indeed a good way for you to brush up on the real questions of the local past exams at this time. Clause.

5. How to brush the past questions? Go to the book store to buy a local copy of the past high school exam questions, you can buy a few more copies, or buy one and come back to make a few copies. Buy the answer in detail. For each set of test papers, do the questions according to the time requirements of the exam, and then correct them against the standard answers.

This is my gratitude to you, I hope it can help you, give a thumbs up if you can! Thank you and have a great day!

Is it in time? Hello, it's definitely in time.

You can also let me help you with your studies.

I also have this kind of service on my side.

It can help you improve better.

Summary. Hello, in this case, you can start re-learning from the most basic mathematics knowledge in the first year of junior high school, because there are more than 30 points in the test and there are still many foundations that have not been mastered, so what you need to do at present is to make up your foundation, you can learn by yourself or find a make-up class to take you to learn, and after three months of basic learning, you can also take the test with about 70 points, and you must have confidence in yourself.

What should I do if I score more than 30 points in the math test in the third year of junior high school, and I will take the high school entrance examination in a few months.

There is only one month to take the high school entrance examination, and the math test has 40 points, how can I improve my score, raise my grades, and get a high score.

Hello, in this case, you can start re-learning from the most basic mathematics knowledge in the first year of junior high school, because there are more than 30 points in the test and there are still many foundations that have not been mastered, so what you need to do at present is to make up your foundation, you can learn by yourself or find a make-up class to take you to learn, and after three months of basic learning, you can also take the test with about 70 points, and you must have confidence in yourself.

The main tutoring foundation is OK.

A high score is unlikely.

But I only had one month to pass the high school entrance exam.

Three months, there's no time, can't you improve your score?

It's not possible to raise it anymore.

Grasp the basics.

Around 70 minutes.

Summary. What should I do if I score more than 30 points in the math test in the third year of junior high school, and I will take the high school entrance examination in a few months.

The foundation is accumulated by accumulation, first of all, take more time to read the textbook, be sure to do the post-class questions after each section, so that you will find that your foundation has improved a lot after reading the whole book, and secondly, the questions you have done will strive not to make mistakes when you do it next time, it is recommended to have a correction book, record the wrong questions, so as to prevent the next time you make mistakes on the same question, finally, the foundation is laid, and the final improvement will be done to do the paper, look at the focus of the exam, I hope you will progress as soon as possible.

What should I do if I score more than 30 points in the math test in the third year of junior high school, and I will take the high school entrance examination in a few months.

What to do if you score more than 30 points in the junior high school math test, and there are a few Kuanxiangyue on the high school entrance examination: the foundation is based on accumulation, first of all, take more time to look at the textbook, and be sure to do the post-class questions after each section, so that you will find that your foundation has improved a lot after reading the whole book, and secondly, the questions you have done will strive not to make mistakes when you do it next time, it is recommended that Qiaobi have a correction book, and record the mistakes, so as to prevent the next time you make mistakes on the same problem, and finally, the foundation is laid. The final improvement is to do the paper, look at the key points of the exam, and hope that you will improve as soon as possible.

I don't have a good understanding.

We must return to the basics, the high school entrance examination is not as difficult as the questions in the usual exams, and a large part of the foundation is the basic questions!

I want to get 130

Don't be in a hurry to do the difficult questions, and sort out a mistake book yourself, and often look at the wrong questions.

Oooh. Well, yes, if you can calm down and review, it's no problem, I believe in you!

Uh-huh. If you have any other questions, then you can just ask me, please give me a like! Thank you! I wish you all the best! I'm hungry for school!

Succeed in your studies! Thank you.

You're welcome.

What to do? What else can I do! Improving grades, of course!

It's very easy to improve by more than 30 points, there are a lot of basic questions that you do wrong, but in fact, they are very simple!! Except for the multiple choice questions, fill-in-the-blank questions, the last question, and the last question are difficult, the others will not be too difficult. On the one hand, you can do more basic questions, and if you can't write it, you can ask the teacher and classmates.

If you don't learn well in the first year of junior high school, just sign up for a class, or buy this material, write it yourself, don't have to finish it, in addition, if you don't do well in this semester, don't have too much psychological burden, this is only the second year of junior high school, your focus should be on biogeography (our biogeography junior high school entrance examination), the third year of junior high school is the biggest stage. I don't know where you're bad, triangle? Quadrilateral?

Function? But they all need to keep practicing and honing their thinking.

1. Have the determination to catch up with the results. It's not too late to start working hard today.

2. Have the confidence to catch up with the results. If you don't have confidence in yourself, you can't catch up with your grades.

3. Have a good learning method. First of all, make a practical study plan, detailed to every day of the week, and check the completion of your learning tasks; Furthermore, focus on reviewing basic knowledge, conduct frequent self-tests, observe your knowledge weaknesses, and focus on review; Pay attention to correct mistakes and learn lessons.

Child: Hello!

Secondly, the second year of junior high school mathematics focuses on several important features of a function, triangle and a simple two-dimensional plane coordinate system, grasp the key points, and your test score will be 90+.

In the end, let's sum it up: 7 days a day to go through the important characteristics in your head; After 7 days, write down the important features every day for 7 consecutive days; Half a month later, you will be able to finish the second year of junior high school.

Note: In the study of mathematics, physics and chemistry, grasp the key points, learn and apply them lively, and avoid rote memorization.

I hope the above can provide you with a little help in your future study of biochemistry.

Go through the sample questions in the textbook. Once is not enough, do it twice.

In fact, as long as you study with your heart, there is nothing that you can't learn. What you lack now is confidence, you might as well find some simple questions to practice by yourself, which is simple for yourself, not simple for those masters.

Doing more of this will not only help you build a solid foundation, but it will also help you build your self-confidence. After doing simple questions for a while, and then slowly deepening the difficulty, in fact, when you solve a difficult problem, the sense of accomplishment and excitement can only be experienced by yourself. The best teacher is to enjoy mathematics rather than hate it, and to have the right attitude.

First of all, interest is the best teacher, and secondly, it is best to know how to learn mathematics: take more notes in class, and there will be a lot of questions that you don't understand, so it is best to ask the teacher and classmates. The problem of the day must be completed on the same day, the problem of the day must be completed on the same day, and the problem of the day must be completed on the same day.

Tell the important things three times. Procrastination will only make you hate math even more.

Okay, let's borrow a sentence from Lu Xun to encourage you: **There is a genius, I just use other people's coffee time to study.

Don't forget if it helps!