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All the contents that primary school students need to master, ask the great god to answer.

Basic knowledge of Chinese in primary schools

Basic knowledge of Chinese in primary schools-Chinese Pinyin

Pinyin knowledge can be said to be one of the key Chinese knowledge that children are first exposed to, and it is also the beginning and foundation of learning Chinese well. If you can't learn Pinyin well, it can be said that there will be endless troubles in primary school, which will seriously affect children's self-confidence, but there is no need to be particularly nervous, because as long as you are not a child with a flat tongue, Pinyin, like other children, grew up without a teacher. Below I will make a simple summary of pinyin knowledge, which may just be thoughtless.

I. Alphabet (phonetic alphabet)

Aa bb cc DD ee ff gg hh ii jj kkll mm nn oo PP QQ RR SS TT UU VV WWX YY ZZ (in fact, it is the case of 26 letters in English, but the pronunciation is different).

2. Syllables: Syllables are composed of initials, finals and tones (The Three Pinyin Festival also includes initials)

Third, abbreviation: b p m f d t n l g k h j q x zh ch sh r z c s y w

Fourth, vowels:

1, single vowel: ao e I u u (6)

2. compound vowels: ai, ei, ui, ao, ou, iu, ie, üe, er(9)

3. Nasal vowels: (nasal) an, en, in, un, ün (nasal) ang, eng, ing, ong.

V. Overall recognition of syllables: knowing, being late, time, day, child, word, thinking, leaf, meaning, sound, English, martial arts, language, month, rhyme and yuan (16).

Sixth, the calibration rules: if there is an A, don't let it go. If there is no A, look for O, E, I and U in parallel, so the calibration is correct!

Seven, spelling considerations:

1, j, q, x meets u, so take two points.

2. The first letter of the sentence should be capitalized; The first letter of Chinese name should be capitalized; Capitalization of proper nouns: Beijing; ; Capitalize the first letter of the title of the article.

Basic knowledge of Chinese in primary schools-quantifiers

I often hear so-and-so children say things like "having a horse" intentionally or unintentionally. It sounds ridiculous, but it just illustrates a problem that cannot be ignored in primary school Chinese-quantifiers. As the name implies, quantifiers are words that express quantity, and they are also a necessary test for primary school Chinese. I made a simple summary below. If it is incomplete, it is for reference only!

First, quantifiers:

Words that represent the unit of quantity of people, things or actions are called quantifiers.

There are many detailed classifications of quantifiers, such as noun quantifiers and momentum words. Here I only classify and summarize the basic quantifiers that primary school students must master. If it is incomplete, it is for reference only.

"One person, two pears, three bells and one teapot" and "Jin, kg, bucket, liter, ruler, inch and ruler" are called noun quantifiers.

"Walk once, see once, do once, cry once" means the quantitative unit of action, which is called momentum word.

Noun quantifiers "Jia", "Ren" and momentum words are combined once, and * * * is a compound quantifier as a special unit of measurement.

At first glance, it seems difficult to master this simple knowledge quantifier into so many detailed concepts, but I personally think that the concept can only be understood. What really needs to be mastered is how to fill in and use quantifiers correctly, so as not to make a joke of "treating a horse as a dog". After years of teaching, I summarize the quantifiers commonly used and frequently tested in primary schools as follows:

Fast head, fast horse, heavy name, and double mouth array. Roots are arranged in rows, and the table wheels only bloom. First, pile up the branches on the top of the bottle where the stamp piece is placed, hook and bend the leaves.

(Note: Most commonly used quantifiers appear in spoken English in daily life, so we should pay attention to their accumulation and correct use in daily life. )

In addition to the use of single quantifiers, the overlapping of quantifiers is also an inevitable knowledge point, but on the basis of mastering the use of single quantifiers, the overlapping is already very simple.

Reduplication of quantifiers: In addition to measuring noun quantifiers, many quantifiers can be used in an overlapping way. For example: each piece/piece/piece. Every time/trip/return etc.

explain

Quantifiers, especially noun quantifiers, are particularly rich and incomparable to foreign languages, which is one of the proud features of Chinese. Some quantifiers only associate two or three words, such as "Zun", and can only say "a Buddha statue" and "a bodhisattva". Some quantifiers are widely used, such as "ge", which can be said to be "a person, a problem, an apple, a home, a seat, a unit, a message" and so on. Some nouns can be matched with several quantifiers, such as: a hat, a hat, a tail, a string, a catty of fish, a grain, a string of grapes, and there are certain rules for what quantifiers are matched with what nouns. For example, for small and round things, such as pearls, rice, grapes and pebbles, you can use the word "one"; All slender things, such as bamboo poles, spears, cigarettes, etc. You can use the words "branch" and "root". The use of these quantifiers not only indicates the unit, but also indicates the shape of things, making them concrete. Quantifiers are often used in literary works, such as "a bright moon, a broken moon, a crescent moon, a boat, a flute" and so on.

Some quantifiers are also divided into praise and criticism. For example, "two young workers helped the police catch a group of gangsters." The quantifier "bit" has a respectful emotional color; But the quantifier "bang" has an emotional color of contempt. Most quantifiers have no emotional color, and which noun to match depends entirely on the habit of speaking, such as "ba", which can be said to be "a knife, a handful of rice, a fan, a lock, a year" and so on.

Basic knowledge of vocabulary related to Chinese in primary schools

Many students I have taught have a good grasp of related words, but most students have a misunderstanding, that is, they always think that related words are a fixed collocation. For example, because they must be combined with but, they often make mistakes when they appear, or when some related words are mixed, so I want to remind the children here that related words are actually words that can link two or more sentences organically and reasonably, so they should be flexible when using them. The following is a summary of related words commonly used and must be mastered in primary schools for reference only!

1, coordinate relation: ... during ... during ... during ... not ... but ... sometimes ... both ... and ... therefore. ......

2. Undertaking relationship: first ... first ... then ... then ... then ... then. ...

3. Progressive relationship: not only ... but not even ... and not only (not only, not only, not only) ... but also (and).

4. Causality: because ... therefore ... for some reason ... because ... therefore. ......

5. Choice relationship: Yes or No, that is, it is better to ... or ... than to ... .......

6. Turning relationship: although ... but nevertheless ... but (yes, but, however, however, only)

7. Hypothetical relationship: if (suppose, if, if) ... then (then) even (even, even) ... also (return).

8. Conditional relationship: As long as ..., only ... will be allowed unless. ....

The key to the use of related words lies in the cultivation of the usual sense of language. If there is a difference in the expression of meaning after adding related words to a sentence, it is definitely wrong, so the trick of using related words lies in the accurate understanding and grasp of sentences and meanings!

Basic knowledge of Chinese in primary schools-rhetoric

Rhetoric is to modify words and use various expressions to make language expression accurate, vivid and powerful. Commonly used rhetorical devices are

Metaphor, personification, exaggeration, parallelism, duality, repetition, rhetorical question, quotation, comparison, metonymy, irony, truth, intertextuality, analogy, etc.

Rhetoric method is not only a very important basic knowledge of Chinese in primary schools, but also the mastery of this knowledge point is directly related to the important knowledge of composition, which must not be ignored. The above pink rhetoric is something that primary school students must master. Next, I made the following summary for reference only!

1, metaphor: To put it bluntly, it is a way to use one thing to explain another by using the similarity between things.

2. personification: it is to give people's characteristics to things and make things talk, move and have feelings like people.

3. Exaggeration: A description of what is enlarged or reduced, but it is not infinite and unprincipled. It is different from boasting, but the expansion or contraction of art. ..

4. Parallelism: It is to compare three or more phrases or sentences with the same or similar structure and consistent expectations to enhance the expression effect.

5. rhetorical question: express definite meaning or emphasize tone, with the expectation of asking. To put it bluntly, there are questions and answers in the sentence.

Question: To put it bluntly, ask yourself and answer yourself.

6. Pun: In a specific language environment, a word or sentence is intentionally given double meanings.

7. Citation: quoting other people's words or idioms, allusions, etc.

8. Irony: deliberately saying irony and expressing meaning with a word or sentence with the opposite meaning.

9. Contrast: Compare the positive and negative things or the positive and negative things together.

10. Duality: Use two sentences or phrases with the same number of words and similar structure to express similar, related or opposite meanings.

1 1. Repetition: A word or sentence is intentionally repeated to express strong feelings.

12, metonymy: Don't say what you want to say directly, but borrow someone or something related to this matter or person.

If we want to use rhetorical methods properly and correctly, we must pay attention to them and accumulate more in our daily study. One trick is to recite one or two representative sentences for each rhetorical method, and draw inferences from this sentence!

Basic knowledge of Chinese in primary schools-punctuation marks

The knowledge about punctuation marks can be said to accompany a student or a person's life. As long as writing is involved, punctuation is indispensable, and punctuation is also the basic knowledge that primary schools must master. In the reform proposal of college entrance examination in 2004, there is a provision that if a word is wrong, one point will be deducted, and punctuation marks are the standard of a word. Don't ignore it because of a small symbol error. To this end, I made the following summary.

Punctuation marks commonly used in primary schools: (16 kinds) comma, period. Question mark? Exclamation mark! Colon: semicolon; Double quotation marks ""pause, parentheses () dash-ellipsis ... title ""bullet. Hyphenation (-) Proper Name (-)

Basic concepts and usage:

1, comma: indicates a general pause in a sentence.

2. period: used for the last pause of a complete sentence.

3. Question mark: indicates the pause and tone at the end of the question.

4. exclamation point: pause and tone at the end of the sentence, used to express strong feelings.

5. Colon: indicates a pause after suggestive speech.

6. Semicolon: indicates that the pause is generally greater than the comma and less than the pause, and there is a big pause between complex sentences.

7. Double quotation marks: it means that the words of others, books, characters, etc. are directly quoted in the text.

8. Pause symbol: indicates the pause between juxtaposed words in a sentence.

9. Brackets: indicate comments in the text.

10, dash: indicates various contexts, modalities and grammatical meanings.

1 1, ellipsis: indicates the content omitted for various reasons, so as to achieve the purpose of convenient narration.

12. Title: indicates the title, article title, newspaper name, file name, drama name, picture name, etc.

13, key points: words that are particularly important in the text and need attention.

14. Interval number: indicates the boundary between time, nationality, title and name.

15, connection number: punctuation marks indicating the beginning and end of time, place, numbers, etc.

16, proper name: indicates a person's name, place name, country name, etc.

How to use punctuation properly and correctly needs more attention and accumulation in daily life and practice!

English

Pupils must know English words.

People's Education Edition English Grade Three (Volume I) Three-Meeting Word List

Unit 1

Pen pen

Pencil pencil

Pencil box pencil box ruler ruler rubber crayon crayon schoolbag Pencil Sharpener

pencil sharpener

School. School.

2 unit

Head head

Face face

Nose nose

Zuibazui

Eyes. Eyes.

Ear ear

Arm arm

Finger finger

Legs, legs

Jiaojiao

Body body

Third unit

Red red

Yellow yellow

Green green

Blue blue

Purple purple

White, white

Black, black.

Orange orange

Pink pink

Brown brown

Unit 4

Cat cat

Dog dog

Monkey monkey panda

panda

Rabbit rabbit duck pig pig

Bird bird bear elephant elephant mouse squirrel squirrel

Unit 5

Cake cake bread

Hot bread

Hot dog hot dog

Hamburger. Hamburger

Chicken chicken coke coke

French fries, potato chips

Juice juice milk

milk

Shui shui cha cha coffee

Unit 6

One two three four five six seven eight nine Ten

Doll doll

Boat, ball, kite, balloon, car and plane

People's Education Edition English Grade Three (Volume II) Three Words

Unit 1

Boys, boys, girls, girls, teachers, students, students, this is me, my friend, I = I'm fine; Good morning, good afternoon, good afternoon.

Meet; See you when you meet; also

2 unit

Father; Dad, dad (oral), mom, mom; Mom, mom (oral) man and woman

Grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, grandma, let us become great and just sum up; And how much; How's it going?

Unit 3

eleven past eleven

twelve past twelve

Shisanshisan

144

fifteen past three p.m./a quarter past three p.m.

Sixteenth six

177

eighteen past eight

nineteen

How about 220?

How much is a lot.

Yes, yes; can

Take a look; see

unit

four

Taotao pear orange orange watermelon apple banana

Strawberry, strawberry and grape.

Grapes like to like some; Some thanks. thank you

Unit 5

bus

Bicycle, bicycle and taxi

Taxi jeep

Jeep desk

Desk chair

chair

Walkman light

The desk lamp is yours; Your zoo. Zoo.

Unit 6

Small, small, big, long, long, short; Short tall giraffe deer

People's education edition, fourth volume, fourth grade vocabulary words

Unit 1

Computer (computer)

Cardboard (writing board)

Fan (fan)

Light this (this; This) is (is)

my

That (that; That)

Yours (yours)

Picture of the teacher's desk (picture; Photo) The wall (floor) is (yes; Yes) it (it)

unit

2

One (1) two (2) three (3) four (4) five (5) six (6) seven (7) eight (8) nine (9) ten (10) what (what) time (time) ... Mathematics (Mathematics) Chinese (Language) English (English) Sports (Sports) Music (Music) for(for;; Give) a class (course)

Unit 3

Jacket (jacket)

Shirt (shirt) skirt (dress) dress (T-shirt) red (red) blue (blue) yellow (yellow) green (green) white (no; No)

Not (not; No) Color (Color)

Fourth unit

Warm (warm) cold (cool) Today (today) jeans (jeans) pants (trousers) socks (shoes) Let's play; Kick (football)

Snow (snow) sunny (sunny)

Unit 5

How much (how much)

Big (big)

Small (small)

Long (long)

Short (apples) bananas (pears) oranges (watermelons) are (yes) them (him, her).

Unit 6

Horse (horse)

Cat (Rabbit) Pig (Pig) Duck (Dog) Eleven (Eleven) Twenty (Twelve) Thirty (Thirteen) Fifteen (Twenty)

How many are there (there; There)

Four words in the fourth grade textbook of People's Education Press

unit

1

Computer board fan light this (this; This) is (yes) my (my) that (that; That) picture of your (your) teacher's desk (picture; Photo) The wall (floor) is (yes; Yes) it (it)

2 unit

One (1) two (2) three (3) four (4) five (5) six (6) seven (7) eight (8) nine (9) ten (10) what (what) time (time) ... Give) a class (course)

Unit 3

Jacket (coat) shirt (skirt)

Child) Dress T-shirt Red Blue Yellow Green White No (No; No) no (no; No) Color (Color)

Mathematical formulas and laws that primary school students must master per copy × number of copies = total number.

Total number of shares per share = total number of shares = number of shares per share

2. 1 multiple× multiple = multiple1multiple = multiple/multiple = 1 multiple

3. Speed × time = distance/speed = time/distance/time = speed.

4. Unit price × quantity = total price

Total price/unit price = total quantity/quantity = unit price

5. Work efficiency × working time = total workload.

Total work/working efficiency = total working time/working time = working efficiency.

6. Appendix+Appendix = sum, and-one addend = another addend.

7. Minus-Minus = Minus-Minus = Minus+Minus = Minus

8. Factor × factor = product

Product ÷ One factor = another factor

9. Dividend bonus = quotient

Dividend quotient = divisor quotient × divisor = dividend elementary school mathematical figure calculation formula 1, square c perimeter s area a side length perimeter = side length× 4c = 4a area = side length× side length s = a× a.

2. Cube V: volume A: side surface area = side length × side length× 6s table =a×a×6 volume = side length× side length× side length V = a× a× a.

3. rectangle c perimeter s area a side length perimeter = (length+width) ×2 C=2(a+b)

Area = length × width S=ab

4. cuboid v: volume s: area a: length b: width h: height

(1) Surface area (L× W+L× H+W× H) ×2

S=2(ab+ah+bh)

(2) volume = length× width× height V=abh

5, triangle S area A base H height

Area = bottom × height ÷2

s=ah÷2

Height of triangle = area ×2÷ base.

Triangle base = area ×2÷ height

6, parallelogram S area A base H height

Area = bottom × height

S = ah

7. trapezoidal s has an area a, an upper bottom b and a lower bottom h.

Area = (upper bottom+lower bottom) × height ÷2s =(a+b)× 1

h \u 2

8. circle s area c perimeter d= diameter r= radius

(1) circumference = diameter ×∏=2×∏× radius

c =∏d = 2r

(2) area = radius × radius×∈

9. cylinder v: volume h: height s; Bottom area r: bottom radius c: bottom perimeter

(1) Transverse area = bottom circumference × height.

(2) Surface area = lateral area+bottom area ×2

(3) Volume = bottom area × height

(4) Volume = lateral area ÷2× radius.

10, cone v: volume h: height s; Bottom area r: bottom radius

Volume = bottom area × height ÷3

Total number ÷ Total number of copies = average value

Formula of sum and difference problem

(sum+difference) ÷ 2 = large number

(sum and difference) ÷ 2 = decimal

And folding problems.

Sum \ (multiple-1) = decimal

Decimal × multiple = large number

(or sum-decimal = large number)

Difference problem

Difference ÷ (multiple-1) = decimal

Decimal × multiple = large number

(or decimal+difference = large number)

Tree planting problem

1 The problem of planting trees on unclosed lines can be divided into the following three situations:

(1) If trees are planted at both ends of the non-closed line, then:

Number of plants = number of nodes+1 = total length-1.

Total length = plant spacing × (number of plants-1)

Plant spacing = total length ÷ (number of plants-1)

2 If you want to plant trees at one end of the unclosed line and not at the other end, then:

Number of plants = number of segments = total length ÷ plant spacing

Total length = plant spacing × number of plants

Plant spacing = total length/number of plants

(3) If no trees are planted at both ends of the non-closed line, then:

Number of plants = number of nodes-1 = total length-1.

Total length = plant spacing × (number of plants+1)

Plant spacing = total length ÷ (number of plants+1)

The quantitative relationship of planting trees on the closed line is as follows

Number of plants = number of segments = total length ÷ plant spacing

Total length = plant spacing × number of plants

Plant spacing = total length/number of plants

The question of profit and loss

(Profit+Loss) ÷ Difference between two distributions = number of shares participating in distribution.

(Big profit-small profit) ÷ Difference between two distributions = number of shares participating in distribution.

(big loss-small loss) ÷ The difference between two distributions = the number of shares participating in the distribution.

encounter a problem

Meeting distance = speed × meeting time

Meeting time = meeting distance/speed and

Speed Sum = Meeting Distance/Meeting Time

Catch up with the problem

Catch-up distance = speed difference× catch-up time

Catch-up time = catch-up distance ÷ speed difference

Speed difference = catching distance ÷ catching time

Tap water problem

Downstream velocity = still water velocity+current velocity

Countercurrent velocity = still water velocity-current velocity

Still water velocity = (downstream velocity+countercurrent velocity) ÷2

Water velocity = (downstream velocity-countercurrent velocity) ÷2

Concentration problem

Solute weight+solvent weight = solution weight.

The weight of solute/solution × 100% = concentration.

Solution weight × concentration = solute weight

Solute weight-concentration = solution weight.

Profit and discount problem

Profit = selling price-cost

Profit rate = profit/cost × 100% = (selling price/cost-1) × 100%.

Up and down amount = principal × up and down percentage

Discount = actual selling price ÷ original selling price× 1 00% (discount <1)

Interest = principal × interest rate× time

After-tax interest = principal × interest rate × time × (1-20%)

Length unit conversion

1 km = 1 000m1m = 10 decimeter.

1 decimeter =10cm1m =10cm.

1 cm = 10/0mm

Area unit conversion

1 km2 = 100 hectare

1 ha = 1 10,000 m2

1 m2 = 100 square decimeter

1 square decimeter = 100 square centimeter

1 cm2 = 100 mm2

Volume (volume) unit conversion

1 m3 = 1000 cubic decimeter

1 cubic decimeter = 1000 cubic centimeter

1 cubic decimeter = 1 liter

1 cm3 = 1 ml

1 m3 = 1000 liter

Weight unit conversion

1 ton = 1000 kg

1 kg =1000g

1 kg = 1 kg

Rmb unit conversion

1 yuan = 10 angle.

1 angle = 10 point

1 yuan = 100 integral.

Time unit conversion

1 century = 100 1 year =65438+ February.

The big month (3 1 day) includes:1\ 3 \ 5 \ 7 \ 8 \10 \ 65438+February.

Abortion (30 days) includes: April \ June \ September \165438+1October.

February 28th in a normal year and February 29th in a leap year.

There are 365 days in a normal year and 366 days in a leap year.

1 day =24 hours 1 hour =60 minutes.

1 minute =60 seconds 1 hour =3600 seconds.

Primary school mathematics geometry circumference

Calculation formula of area and volume

1, the perimeter of the rectangle = (length+width) ×2 C=(a+b)×2.

2. The circumference of a square = side length ×4 C=4a.

3. Area of rectangle = length× width S=ab

4. Square area = side length x side length s = a.a = a.

5. Area of triangle = base × height ÷2 S=ah÷2.

6. parallelogram area = bottom x height S=ah

7. trapezoidal area = (upper bottom+lower bottom) × height ÷ 2s = (a+b) h ÷ 2.

8. Diameter = Radius× 2D = 2r Radius = Diameter ÷2 r=

D2

9. The circumference of a circle = π× diameter = π× radius× 2c = π d = 2π r.

10, area of circle = π× radius× radius.

Definition theorem formula

Area of triangle = base × height ÷2. The formula S= a×h÷2.

Area of a square = side length × side length

Formula S= a×a

Area of rectangle = length × width

Formula S= a×b

Area of parallelogram = base × height

Formula S= a×h

Trapezoidal area = (upper bottom+lower bottom) × height ÷2 Formula S=(a+b)h÷2

Sum of internal angles: sum of internal angles of triangle = 180 degrees.

Cuboid volume = length× width× height formula: V=abh

Volume of cuboid (or cube) = bottom area × height

Formula: V=abh

Volume of cube = side length × side length × side length formula: V=aaa.

Circumference = diameter × π formula: L = π d = 2π r

Area of circle = radius × radius× π formula: s = π R2.

Surface (side) area of cylinder: The surface (side) area of cylinder is equal to the perimeter of bottom multiplied by height. Formula: s = ch = π DH = 2π RH.

Surface area of cylinder: the surface area of cylinder is equal to the perimeter of the bottom multiplied by the height plus the area of the circles at both ends.

Formula: S=ch+2s=ch+2πr2.

Volume of cylinder: the volume of cylinder is equal to the bottom area multiplied by the height. Formula: V=Sh

Volume of cone = 1/3 bottom× product height. Formula: V= 1/3Sh

Law of fractional addition and subtraction: Fractions with the same denominator are added and subtracted, only the numerator is added and subtracted, and the denominator remains the same. Fractions of different denominators are added and subtracted, first divided, then added and subtracted.

The multiplication of fractions is: use the product of molecules as numerator and the product of denominator as denominator.

The law of division of fractions: dividing by a number is equal to multiplying the reciprocal of this number.

Unit conversion

(1)1km =1km =1000m1m =10 decimeter1decimeter =10 cm/kloc.

(2) 1 m2 = 100 square decimeter 1 square decimeter = 100 square centimeter 1 square centimeter = 100 square millimeter.

(3) 1 m3 = 1000 cubic decimeter 1 cubic decimeter = 1000 cubic centimeter 1 cubic centimeter = 1000 cubic millimeter.

(4)1t =1000 kg1kg =1000 mg =1kg = 2 kg.

(5) 1 hectare = 1 ten thousand square meters 1 mu = 666.666 square meters.

(6) 1 liter = 1 cubic decimeter = 1000 ml 1 ml = 1 cubic centimeter.

As far as the calculation formula of quantitative relationship is concerned

1. unit price × quantity = total price

2. Single output × quantity = total output

3. Speed × time = distance

4. Work efficiency × time = total workload

First of all, arithmetic.

1. additive commutative law: Two numbers are added to exchange the position of addend, and the sum is unchanged.

2. The law of addition and association: When three numbers are added, the first two numbers are added first, or the last two numbers are added first, and then the third number is added, and the sum remains unchanged.

3. Multiplication and exchange law: when two numbers are multiplied, the position of the exchange factor remains unchanged.

4. Multiplication and association law: When three numbers are multiplied, the first two numbers are multiplied, or the second two numbers are multiplied first, and then the third number is multiplied, and the product remains unchanged.

5. Multiplication and distribution law: When two numbers are multiplied by the same number, you can multiply the two addends by this number respectively, and then add the two products, and the result remains unchanged. Such as: (2+4) × 5 = 2× 5+4× 5.

6. Nature of division: In division, the dividend and divisor are expanded (or reduced) by the same multiple at the same time, and the quotient remains unchanged. Divide 0 by any number other than 0 to get 0.

7. Equation: An equation in which the value on the left of the equal sign equals the value on the right of the equal sign is called an equation. Basic properties of the equation: When both sides of the equation are multiplied (or divided) by the same number at the same time, the equation is still valid.

8. Equations: Equations with unknowns are called equations.

9. One-dimensional linear equation: An equation with an unknown number of 1 is called a one-dimensional linear equation.

Example method and calculation of learning linear equation of one variable. That is, an example is given to illustrate that the formula is replaced by χ and calculated.

10. Score: divide the unit "1" into several parts on average, and the number representing such a part or points is called a score.

1 1. Addition and subtraction of fractions: add and subtract fractions with denominator, only add and subtract numerators, and the denominator remains unchanged. Fractions of different denominators are added and subtracted, first divided, then added and subtracted.

12. Comparison of fraction size: Compared with the fraction of denominator, the numerator is large and the numerator is small. Compare the scores of different denominators, divide them first and then compare them; If the numerator is the same, the denominator is big and small.

13. Fractions are multiplied by integers, and the product of the multiplication of fractions and integers is a numerator, and the denominator remains unchanged.

14. Fractions are multiplied by fractions, the product of numerator multiplication is numerator, and the product of denominator multiplication is denominator.

15. Fraction divided by integer (except 0) equals fraction multiplied by the reciprocal of the integer.

16. True fraction: The fraction with numerator less than denominator is called true fraction.

17. False fraction: the fraction with numerator greater than denominator or numerator equal to denominator is called false fraction. False score is greater than or equal to 1.

18. With score: write the false score as an integer, and the true score is called with score.

19. The basic nature of the fraction: the numerator and denominator of the fraction are multiplied or divided by the same number at the same time (except 0), and the size of the fraction remains unchanged.

20. A number divided by a fraction is equal to the number multiplied by the reciprocal of the fraction.

2 1.A divided by b (except 0) equals the reciprocal of a multiplied by b.

Hey, I'm exhausted. Pick me.