How to teach the first advanced mathematics lesson in the new term?

How to teach the first advanced mathematics lesson in the new term?


Is it a teacher or a student?
It's better to read the book simply before class, preview ~ get familiar with the context and mode of higher mathematics~
Listen carefully in class, take notes ~ write down the good questions that the teacher says ~ these are the template for the future exam~
After class, finish your homework carefully, and it's better to set up a mistake book~
In fact, higher mathematics is not so mysterious. At first, it was similar to what I learned before~
But because it's almost the same, many people take it lightly. They think it's the one they learned before. It's too simple and they don't want to listen to it. It's very dangerous. After several classes, you react that it's too late when you have learned one or two classes. So you must be as serious as ever,
Good luck~



New term mathematics plan 300 words composition (before and after class, how to do in class)
Come on, it's due tomorrow


There is a saying like this: "new semester, new weather!" this year I have entered the end of the fifth grade of primary school
Before class, I should fully preview what the teacher wants to say, so that I won't be too tired and reduce the burden. At the same time, I should mark what I don't understand, and listen carefully when the teacher speaks. Make preparations before class. Five minutes before class, I should put the math book, draft book, exercise book, automatic pen and ruler on the table, In this way, we won't be in a hurry in class
In class, attention should be focused, full of spirit, not drowsy, attentively listen to the teacher's lectures, and focus on the knowledge points and do not understand the content when preview, and the voice of answering questions should be loud, not like ants. If you don't understand something, you should actively ask questions
After class, should actively complete the teacher's assignment, not procrastination, not plagiarism, on their own strength to complete
After class



If the segment AB = 12cm. C is on the extension line of ab. P is the midpoint of AC and Q is the midpoint of BC, the length of PQ is calculated


Let BC be X
PA=2/(12+x)
=6+x/2
QC=x/2
PQ=AC-PA-QC
=12+x-(6+x/2+x/2)
=12+x-(6+x)
=12-6
=6



A car drove from a to B, 40 kilometers per hour. Five hours later, a train drove from a to B at the speed of 90 kilometers per hour, and caught up with the car at the midpoint between a and B______ Kilometers


A: the distance between the two places is 720 km



If | x-3 | + (x-2y + 1) ^ 2 = 0, then x + y = if 2a-b is 1, then 1-4a + 2b is 1(


|The absolute value of x-3 | + (x-2y + 1) ^ 2 = 0 and the square of the parentheses are all numbers greater than or equal to 0. If the final result is equal to 0, then these two items must be equal to 0, so | x-3 | = 0, x = 3, (x-2y + 1) ^ 2 = 0, y = 2 х x + y = 5
2a-b=1,1-4a+2b=1-(4a-2b)=1-2(2a-b)=1-2=-1



A car from a to B completes a quarter of the whole journey in the first hour and 15 percent in the second hour, which is 9 kilometers away from the destination
How many kilometers is the distance between a and B


Distance = 9 △ 1 / 4-15% = 9 △ 0.6 = 15 km



Given that θ is the second quadrant angle and sin (θ / 2) > cos (θ / 2), then the value range of sin (θ / 2) + cos (θ / 2) is obtained


Add one to that circle. It's too hard to fight. Use x instead
Sin (x / 2) is greater than cos (x / 2)
N / 4 + 2Kn is greater than X / 2 and 3 / 4N + 2Kn
,
The following into the same angle, and then the value range solution, their own study, give you the answer is useless, understand the most important



The truck delivered mud to the construction site. On the first day, it delivered 1 / 4 and 3 tons of the total. On the second day, it delivered the remaining 1 / 3 and 1 ton. There are still 11 tons left. How much is the total cement
Math problem


12 tons in total
There are x tons in total
1/4 x+3+1/3 x+1=11
7/12 x+4=11
7/12 x=7
x=12



The lengths of the three sides of the triangle ABC are a, B, C, satisfying the condition that the root sign A-2 + B ^ 2-8b + 16 = 0. Find the range of C


Radical A-2 + B ^ 2-8b + 16 = 0
Root (A-2) + (B-4) ^ 2 = 0
The number under the root sign is greater than or equal to 0, and the square number is greater than or equal to 0,
So, A-2 = 0, B-4 = 0
That is: a = 2, B = 4
According to the fact that the sum of the two sides of a triangle is greater than the third side and the difference between the two sides is less than the third side, we get the following result:
(b-a)



There is a kind of concrete, the ratio of cement, yellow sand and stone is 2:3:5. If there are 12 tons of these three materials, when all the yellow sand is used up, how many tons of cement are left? How many tons more stones need to be added?


Each: 12 △ 3 = 4 (tons), cement remaining: 12-4 × 2 = 4 (tons), stone difference: 5 × 4-12 = 8 (tons); answer: cement remaining 4 tons, stone need to increase 8 tons