About math problems in the first half of the first semester of high school

There's no need to find a teacher to make up the lessons, and instead of finding a teacher to make up the lessons, it's better to go to the bookstore and buy a few more books.

In fact, as long as you do more exercises and read more example problems, you can actually completely put aside the books The knowledge points in the information books are expanded on the basis of the books I generally don't read the books I read the information books directly If the better information books will have some basic questions to fill in the blanks for you At that time, if you do it, it will be regarded as consolidating the formula or something It's good There are also some example problems that will talk about how to think about the problem in order to make it All of these are looked at After reading the example problems, find relevant exercises to do Or do it with a pencil a few times and then do it again, for example, it's like a sequence, in fact, there are many ways to solve a sequence, such as dislocation, subtraction, iterative, etc., in fact, the name doesn't matter, as long as you see this problem and know how to do it, it is necessary to know what method to use in what situation, and many reference books will talk about it, for multiple-choice questions, you can algebraically go into the calculation, verify what general formulas, the first n terms and formulas are correct, this is the technique of doing multiple-choice questions, exponential functions, or something like that Just look at those images More about whether it is increasing or decreasing In fact, algebra can also go into it You can make a table to analyze the similarities and differences of various functions But there are some reference books There will be more information books to read Maybe there are other subjects that keep you busy Then you can spare half an hour or an hour a day to study It should be enough As long as you are willing to persevere, take your time Although it is almost the third year of high school, but mathematics can not be too urgent To learn mathematics well, you need to have enough sleep In this way, the brain will think clearly about the problem, and the problem will be fast, don't put too much pressure on yourself, and finally say, come on, the effect will be highlighted in the future.

It's nothing, you're worried, aren't you, the head of the building said it is good enough!! The days still have to be lived!! 1

Good way: Just calm down, read the book slowly, and summarize what each paragraph says.

Later, find some questions to do.

If you want to get into a great university, it's best not to miss a single detail, including any other subject.

The first book is mainly about functions, which are related to other mathematical knowledge such as inequalities, equations, coordinate systems, etc., which are more important. If you have enough time, you will learn more deeply by yourself, so it is recommended to study on your own, and it is also possible to ask the teacher to make up the lessons.

A few suggestions (in order): 1The basics should be understood (such as the concepts, properties, and example questions in compulsory 1) 2

The questions in the book after class should be passed (because the extracurricular questions are generally derived and strengthened from the books, if the basic questions in the class can be mastered first, the basic problem-solving thinking and skills can generally be excavated) 3Doing questions is about refinement, not more: knowing how to solve a question is much better than solving many questions (the suggestions for questions in the class are basically passed) 4

Ask more: It doesn't matter what you don't do, the most important thing is to understand and understand. Mentality also talk a few words, learning mathematics, what you want is perseverance and firm confidence, I wish you success in your studies!

Let the cost be k yuan, and the car should be driven at a speed vkm h, then there is k = (bv +a)s v, (v c, a because a< BC 2, i.e. A B

Let t=(1 2) x>0, (by the nature of the exponential function, we know that when the domain is r, the range of (1 2) x is greater than zero, so t>0).

Then the original formula can be reduced to f(t)=-t 2-4t+5=-(t+2) 2+9<5 (the symmetry axis of this quadratic function is t=-2, the opening is downward, and the maximum value is obtained at t=-2, but it is necessary to consider defining the domain t=(1 2) x>0, at t>-2, the function is monotonically decreasing, and at t=0, f(0)=5, so the value range of the function f(t)=-t 2-4t+5(t>0) is <5).

It is more intuitive to apply the method of combining numbers and shapes to do this kind of problem, and special attention should be paid to the definition domain of the function.

Req(1 2) x=a ; 0 = -a 2-4a+5=-(a+2) 2+9<5;

The range is less than 5.

1. The sets are equal, and the elements must be exactly the same, or there must be no elements (empty sets), of course, this is also exactly the same.

2. A true subset is that all the elements of a set belong to another set, and at least one element of another set is not in this set, and the difference between a subset and a true subset is that the subset can be equal, while the true subset is certainly not equal. An inappropriate analogy, the true subset is "<" and the subset is "should be contained in and true contained in".

Another example: the math teacher of the school and all the teachers in the school are a true subset, there is no school that only teaches math, the male teacher of class two (1) and all the teachers of class two (1) are a subset, it is possible that all the teachers of class two (1) are male.

1.The equality of two sets means that all the elements in the two sets are equal.

2.For example, if a set includes (a, b, c, d) and b includes (b, c,), then b is a subset of a, and an empty set is a subset of any set so it is also a subset of a. A true subset is a subset except for .

Ask questions to process.

Hello dear, this is the answer you need Oh dear, you don't understand, you can continue to ask me oh dear, always at your service oh dear, happy new year.

1.Don't be afraid to take the trouble to substitute (1,0)(3,0)(0,-1) into the equation of the circle, or let the center of the circle be (a,b) and substitute the formula between the distance between the two points for the three points.

2.Let the center of the circle be (-4,y) when the circle is inscribed 16+y 2=36 y=plus or minus 2, the root number 5 is inscribed when the circle is inscribed y=0

A = plus or minus 2 root number 5,0

1. Let the equation for the circle be (x+a) 2+(y+b) 2=r 2The x-axis intercept is , that is, when y=0, x, and similarly, when x=0, y=-1, there are three equations (1+a) 2+(0+b) 2=r 2 (3+a) 2+(0+b) 2=r 2

0+a) 2+(-1+b) 2=r 2, the solution is a=-2, b=2, r 2=5

∵2b=a+c ①

4b²=a²+c²+2ac ②

To b cosine theorem:

b²=a²+c²-2ac cos(30)

Area s=1 2ac sin(30)=3 2ac=6 Bring back two formulas, get.

4b²=a²+c²+12 ③

b²=a²+c²-6√3 ④

Get. 3b²=12+6√3

i.e. b = 1 + 3 + 2 + 3 perfectly squared.

b=1+√3