PEP eighth grade English volume 1 unit 3 phrases (minimum 60)

Go camping go shopping go swimming go boating go skating go walking go walking go climbing go fishing go hiking

People's education press eighth grade volume I m8u1u2 English phrases
Wrong. It's the external research edition.

1) The usage of leave
1. "Leave + place" means "leave a place"
When did you leave Shanghai?
When did you leave Shanghai?
2. "Leave for + place" means "leave for a place"
Next Friday, Alice is leaving for London.
Next Friday, Alice is going to London
3. "Leave + place + for + place" means "leave a place to a place"
Why are you leaving Shanghai for Beijing?
Why do you leave Shanghai for Beijing?
2) The modal verb should learn to use
Should, as a modal verb, is often used to express surprise, surprise, incomprehension, etc., with the meaning of "Jinghui"
How should I know?
Why should you be so late today?
Should sometimes means something that should be done or happened
We should help each other
We should pay attention to the following points in use:
1. Used to express the concept of "should" or "shouldn't". In this case, it often refers to the elder teaching or blaming the younger
For example:
You should be here with clean hands
2. Used to give advice and persuade others
You should go to the doctor if you feel ill.
If you don't feel well, you'd better see a doctor
The usage of "should" is one of the common test points in the examination
We should arrive by super time
She should be here any moment
3) What...? and which?
1. What and which are interrogative pronouns, which can refer to people or things, but what is only used to ask
Occupation, such as:
What is your father?
This sentence is equivalent to:
What does your father do?
What is your father's job?
Which refers to a specific range of people
---Which is Peter?
---The boy behind Mary
2. What...? is a general term which refers to things without limitation of scope, while which...? is a special term,
There is a limit to the scope of what it refers to
What color do you like best?
Which color do you like best, blue, green or yellow?
Which color do you like best
3. What and which can be followed by singular, plural and uncountable nouns
Which pictures are from China?
4) The position of adverbs of frequency
1. The common adverbs of frequency are as follows:
Always, always
Usually (usually)
Of (often, often)
Sometimes (sometimes)
Never
2. The position of adverbs of frequency:
a. Put after a conjunction, auxiliary or modal verb
David is often late for school
b. Put before the action verb
We usually go to school at 7:10 every day.
We often go to school at 7:10 every day
c. Some adverbs of frequency can be placed at the beginning or end of a sentence to express emphasis
Sometimes I walk home, sometime I ride a bike.
Sometimes I walk home, sometimes I ride a bike
3. When never is placed at the beginning of a sentence, the subject and predicate verb should be inverted
Never have I been there
5) Every day and every day
Every day is the adverbial of every day
We go to school at 7:10 every day.
We go to school at 7:10 every day
I decide to read English every day.
I decided to read English every day
Everyday is the attribute of everyday
She watches everyday English on TV after dinner.
She watches everyday English on TV after supper
What's your everyday activity?
6) What are auxiliary verbs
1. The word that helps the main verb form the predicate verb phrase is called auxiliary verb
Verbs are called main verbs. Auxiliary verbs have no meaning and can't be used alone,
For example:
He doesn't like English
(doesn't is an auxiliary verb with no meaning; like is a main verb with meaning)
2. Auxiliary verbs help the main verbs to complete the following functions
a. A tense, for example:
He is singing
He has got married
b. Voice, for example:
He was sent to England
c. Form a question, for example:
Do you like college life?
Did you study English before you came here?
Did you learn English before you came here?
d. It can be used with the negative adverb not to form a negative sentence
I don't like him
e. Strengthen the tone, for example:
Do come to the party tomorrow evening
He did know that
3. The most commonly used auxiliary verbs are: be, have, do, shall, will, should, would
7) Forget doing / to do and remember doing / to do
Forget to do forget to do something
The light in the office is still on. He forgot to turn it off.
The light in the office is still on. It forgot to turn off
He forgot turning the light off.
He forgot that he had turned off the light
Don't forget to come tomorrow.
Don't forget to come tomorrow
Typical examples
---- The light in the office is still on.
---- Oh,I forgot___ .
A. turning it off B. turn it off
C. to turn it off D. having turned it off
The light is still on,
Therefore, we use forget to do sth. and forget doing sth to indicate that the light has been turned off and
I forget this fact
2. Remember to do something;
Remember to do sth
Remember to go to the post office after school.
Remember to go to the post office after school
Don't you remember seeing the man before?
Don't you remember meeting that man before?
8) It's for sb. And it's of sb
1. For sb
Easy, hard, difficult, interesting, impossible, etc
It's very hard for him to study two languages.
It is difficult for him to learn two foreign languages
2. The sentence pattern of sb is generally used to express the character, morality, subjective feelings or attitudes of the characters,
For example: good, kind, nice, cleaner, food, right
It's very nice of you to help me
3. The method of distinguishing for and of
Use the pronoun after the preposition as the subject and the adjective before the preposition as the predicative to make a sentence
You are nice
He is hard
9) Questions about two sentences
New target English has the tendency to cancel the question of marking sentences in the proposition
Method is to ask a free question about a sentence
Sentence: the boy in blue has three pens
Who has three pens?
2. Which boy has three pens?
3. What does the boy in blue have?
4. How many pens does the boy in blue have?
Obviously, students have more angles to answer, which also reflects the flexibility of the examination
He usually goes to the park with his friends at 8:00 on Sunday
Who usually goes to the park with his friends at 8:00 on Sunday?
2. Where does he usually go with his friends at 8:00 on Sunday?
3. What does he usually do with his friends at 8:00 on Sunday?
4. With whom does he usually go to the park at 8:00 on Sunday?
5. What time does he usually go to the park with his friends on
Sunday?
6. When does he usually go to the park with his friends?
10) So, such and the use of indefinite article
1. So is used with indefinite articles a and an, with the structure of "so + Adjective + A / an + noun"
He is so funny a boy.
Jim has so big a house.
2. Such is used with indefinite articles a and an, with the structure of "such + A / an + Adjective + noun"
It is such a nice day.
That was such an interesting

The problem of finding K in high indefinite integral and differential method
Recently, when I was a freshman, I learned how to make up the differential method. When I made up the constant K, my teacher said that I could do it orally, but I felt very tangled
It looks like g (x) DX = KDF (x)
And then I take the derivative of F (x), and at first I thought k = g (x) / F '(x), but it turns out that it's not right
Later, I thought that the coefficient before k = g (x) / F '(x) seemed to solve some problems,
But when we come across the following problem 2 / x ^ 2DX = KD (1 / X-2), because x is in the denominator, we don't know what coefficient to take
Tell me the general method of doing this kind of topic. It's better to be more detailed. What the book says is very limited. I read the chapters of the book several times, but I'm still tangled
If this problem is not solved, many of the following problems can not be solved,

You are thinking in the wrong direction. In fact, this is very simple. It is to use the derivation formula of elementary function. For example, (LNX) '= 1 / x, which is written in differential form as (1 / x) DX = D (LNX)
If there is a coefficient in front, such as (2 / x) DX = 2 (1 / x) DX = 2D (LNX), it is on the basis of your familiarity with the derivation formula that you propose a constant (2 here), so that the rest can just be nested with the derivation formula,
2/x^2dx=-2(-1/x^2)=-2d(1/x)
Let me give you another example. You should have mastered this problem after reading it
(6x^2+6x+1)dx=2*(3x^2dx)+3*(2xdx)+1dx=d(2x^3+3x^2+x)
Other functions, such as trigonometric and exponential functions, are exactly the same. I hope they can be useful to you

When a=_ The value of equation 5 + (A-2) &# is___ .

When a=_ 1__ The value of equation 5 + (A-2) &# is__ 7___ .

Multiplication and derivation

Formula of distance from point to plane

D = | vector AB * module length of vector n | / vector n
D is the distance from point a to the plane, vector AB is the vector starting from point a and ending at any point on the plane, and vector n is the normal vector of the plane

Given cos α = 2Sin α, find sin α ^ 2 + sin α cos α + 2. The answer is 13 / 5

cosα=2sinα
cos^2α=4sin^2α
Substituting the identity cos ^ 2 α + sin ^ 2 α = 1
sin^2α=1/5
sinαcosα
=sinα(2sinα)
=2sin^2α
=2/5
So the original formula is 13 / 5

The difference between parentheses and brackets in Mathematics
If we say that x can be any real number, but it's not equal to - 4 or 2
How to use parentheses and brackets?
(- infinity, - 4) U (- 4,2) U (2, infinity) is wrong

Generally, the innermost bracket, the second inner bracket and the outer bracket are used
In other words, according to the order of operation, if you need to calculate first, use parentheses, then use brackets, and then use braces

Let n ∈ n, n > 1. Prove: logn (n + 1) > log (n + 1) (n + 2)

To prove that logn (n + 1) > log (n + 1) (n + 2) n ∈ n, n > 1

PEP eighth grade English volume 1 unit 3 phrases (minimum 60)