Knowledge points of Chinese pinyin

① You must know 23 initials, 24 finals and 16 whole syllables.

(2) Accurately read out light tones and syllables.

(3) Can write uppercase and lowercase letters in sequence, and can use word order search method to look up the dictionary.

④ Be able to spell syllables accurately and skillfully, and read and learn Mandarin with Chinese Pinyin.

⑤ Understand the usage of capital letters.

alphabet

A a B b C c D d E e F f G g

H h I i J j K k L l M m N n

O o P p Q q R r S s T t

U u V v W w X x Y y Z z

Initial consonant table

BP

China Daily

zh ch sh r z o s

General understanding: knowledge, delay, time, day, son, word and thought.

Yi, Wu, Yu, Ye, Yue, Yin, Yun, Ying and Yuan

The first letter of Chinese Pinyin is sometimes capitalized, which can be summarized as follows:

1. Chinese name. Capitalize the first letter of last name and first name. For example, Zhang Hui, Z and H should be capitalized. When surnames are combined with positions, titles, etc. The first letter at the beginning of the surname should be capitalized and the rest should be lowercase. For example, (Miss Wang) w should be capitalized. However, titles such as "old", "small", "big" and "a" should also be capitalized at the beginning. For example, Xiao Liu's x and l should be capitalized.

2. The initials of Chinese place names and proper nouns (such as book titles, institutions, groups, etc.). ) be capitalized. For example, Bei jing (Beijing) B should be capitalized, Shang hai (Shanghai) S should be capitalized, and Ning bo (Ningbo) N should be capitalized. If proper nouns are phrases, they should be written word by word, and the first letter of each word should be capitalized. For example, People's Republic of China (PRC) (PRC), the first letter Z of China, the first letter R of the people and the first letter G of the Republic should all be capitalized.

3. The first letter at the beginning of each whole sentence should be capitalized; If it is poetry, the first letter at the beginning of each line should also be capitalized.

The names of trademarks and shops are generally capitalized.

Knowledge points of Chinese characters

① Know about 3,000 commonly used Chinese characters, of which about 2,500 can write. Correct pronunciation, font recognition, understanding of word meaning, correct understanding and use in reading and writing.

(2) Being able to distinguish the learned polyphonic characters, homophones, variant characters and pictophonetic characters; Correct the typo.

(3) Proficient in using three dictionary search methods and being able to define words.

(4) Can write with a pen, the writing speed is not less than 20 words per minute, and the handwriting is neat. Stick with a brush, the structure is symmetrical and the paper is clean.

The following words have many meanings. What do they mean in different words? Please fill in the numbers in the brackets.

Looking at A from a distance, looking forward to B, hoping that C will visit D's fame.

Be overjoyed and respected

Full A is full, reaching the extreme of capacity, B makes full C reach a certain period, and D makes all E satisfy F pride.

You don't care () the scene is full () you are satisfied ()

Word knowledge point

(1) can read and write commonly used words correctly, understand their meanings in context, and most of them will use them.

② Being able to distinguish synonyms and use them correctly in a certain language environment.

③ Words can be logically classified according to certain requirements.

Make up a group of words with the word "Yan" and fill in the brackets in the following paragraph appropriately.

Teacher Wang cares and loves us very much. He always criticizes and educates students who make mistakes patiently and never blames them. He often teaches us to be () strict with ourselves, to be () serious about our study, and to stand the test of () at critical moments.

Fill in the words, and then write the serial number according to the classification requirements.

A current () is urgent, B hand is busy () C five colors ()

D eyes () are quick, e lustful () f surge of emotion surge ()

G Wucai () H Shan () Ling I Microwave ()

Indicates water flow: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

Color: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

Representative litigation: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

Sentence knowledge point

(1) can correctly understand the meaning of the sentence.

② Master several common rhetorical devices.

(3) Distinguish the trunk and branch of a sentence from the perceptual point of view through abbreviation exercises; Write sentences more concretely and vividly through sentence expansion exercises.

(4) Can use common words and related words to make sentences, so that the words are orderly and the meaning is complete.

(5) It can modify common ill sentences.

⑥ Master the transformation of several common sentence patterns.

Sentence changes include:

① Interchange of "Ba" sentence, "Bei" sentence and declarative sentence.

② Interchange of declarative sentences, rhetorical questions and exclamatory sentences.

③ Direct quotation and indirect narrative interchange.

④ The exchange of affirmative sentences and double negatives.

⑤ Combine sentences with related meanings.

6. Change the order of the words in the sentence.

If ... just ... though ... also ...

It will rain tomorrow, but the activity of crossing the river will still be held.

It will rain tomorrow, so the mountaineering will be rescheduled.

Just ... just ... just ... just. ...

() Make a phone call and the maintenance department () will send someone to repair it.

I can't solve such a big problem () Ask the maintenance department to send someone to the door. () can be repaired.

Punctuation knowledge point

① Comprehensive use of common punctuation marks: period, question mark, comma, pause, colon, quotation mark and exclamation point.

② Know the semicolon.

③ Understand the different usages and meanings of ellipsis and dash according to the specific context.

According to legend, when it rained, Xu Wenchang went to a friend's house. The host wrote a note to play a joke on him. It says, "Stay with me in rainy days." That's not how he reads it. What he read is the exact opposite of what he read. Do you know how he reads it?

"If it rains, will I stay? Stay. "

"If it rains, I will stay in the daytime, and I will stay in the daytime?"

"If it rains, stay for a day and leave me?"

"Stay on a rainy day and leave me? Don't stay! "

"Rainy day, stay for a day, leave me? Don't stay! "

Word accumulation knowledge points

(1) systematically review the words required to be mastered in the compulsory textbooks, and review and remember the words that students are easy to make mistakes and confuse again.

② Master common idioms, proverbs and two-part allegorical sayings.

③ Understand the rules of word formation, understand the characteristics of all kinds of words, and classify words.

The forms of overlap are:

AABB style is clean and tidy.

ABAB discussion, discussion, discussion

ABAC-style power and influence

AABC-style reluctant to go.

ABB style is quiet and soft.

Imitate the structure of words and write the words as follows:

What-how-what-how: top-heavy and serious.

(2) What-How: weakness of hands and feet, weakness of limbs.

③ Four things are in parallel: heaven, earth, mountains, rivers, flowers and animals.

④ Two related actions are connected: knocking, hitting, pushing and squeezing.

5 words composed of antonyms: it is unintentional to pay attention to one thing and lose another.

⑥ Reach a deepened state: hot-(scalding) hot-(fiery).

⑦ Something-the color of this thing: Varan pear yellow.

8 color overlap: red and green.

Nine words consisting of two antonyms: ups and downs.

Attending a word consisting of two synonyms: blooming and withering.

Use the modify symbol to modify the typos in the following recipes.

Cold basin: roast mule crab lake with beans, stewed buds, bamboo shoots and mud.

Hot dishes: stir-fried shrimp, stir-fried peas, grapes, stuffed chicken, sliced pork and bone.

Dim sum: Indian fat rice with eight treasures.

Fruit: pineapple in syrup.

Classification of ancient poems:

According to the author, for example, Li Bai's poems include Thoughts on a Quiet Night, Looking at the Lushan Waterfall, and A Gift to Wang Lun.

Wang Wei's poetry collections include Chai Lu, Xi on the Twenty Shores of Yuan, and so on.

Du Fu's poems include Delighting in Rain on a Spring Night and Watching Flowers Alone by the River.

By content:

Among the scenery of the four seasons, there are four descriptions of spring: Wind, Singing Willow, Xiao Chun, Delighting in Rain on a Spring Night, Evening Scenery of the Spring River in Hui Chong, Spring Day, Gardens Not Worth Visiting, Farewell to Ancient Grass, Jueju and so on.

Rural scenery: Jiangnan, cottages, ponds, ponds, children's fishing, four seasons of rural miscellaneous scenery, watching, singing geese, remembering Jiangnan, Mr. Yin's book lake wall, and April in the country.

Wonders of mountains and rivers: looking at Lushan Waterfall, looking at Tianmen Mountain, looking for flowers alone, hiking, Langtaosha, Chilean songs, Xilin Wall, Wangdongting.

Frontier fortress bonfire: Liangzhou Ci (two songs), Chusai Hequ

Deep homesickness: thinking of a quiet night, a night-mooring near maple bridge, the song of a wanderer, thinking of Shandong brothers in a mountain holiday, boarding in Guazhou, arriving in Baidicheng early and being clear.

Farewell: Say goodbye to Xin Qiji at Furong Inn, send Yuan 20 An Xi, send Wang Lun, and bid farewell to Meng Haoran on his way to Yangzhou. Don't be overjoyed.

Life perception: Jiangxuelu Bird Mountain Zhuangle Garden Scenic Area, fishing songs, bamboo stones, lime poems, summer quatrains, mumei, bees, last words.

Worrying about the country and people: Lin 'an mansion, compassion for farmers (two poems), spring scenery in the south of the Yangtze River, fishermen on the river, the feeling of leaving the fence gate at dawn in autumn night, Ji Hai's miscellaneous poems, and Xiuer.

Children are lively, lovely and innocent, and often become the writing objects of poets. Many ancient poems we have read are about ancient children. For example, "When I asked your student under a pine tree", he replied, "My teacher went to collect medicine" (this is an absent note), which is about a teenager and his teacher living in seclusion in the mountains. How many poems can you write about the life of ancient children? Write the title of the poem silently on the horizontal line below.

The moon is beautiful and holy, giving people infinite reverie. Many poets in ancient China wrote about the moon. Please choose a poem with the word "moon" from the ancient poems you have read and write it down from memory.

1, title () by ()

2. Title () Author ()

3. Title () Author ()

After reading the article "It rains in Mao Mao", can you describe your feelings with the ancient poems you have learned?

Our grass, in that slender and weak body, contains how powerful vitality! No wonder ancient poets wrote poems chanting grass:

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _, after thousands of years, is still exciting to read.

Connect the following famous old sayings with proverbs and words with similar meanings.

The big wall is broken. practice makes perfect

Not expensive, but heavy. If a small hole is not filled, the consequences will be serious-a small leak will sink a big ship; A stitch in time saves time.

Know the sound after practicing a thousand songs, and know the instrument after watching a thousand swords. Time is money.

The teacher asked you to choose famous sayings or poems to decorate the walls of the classroom. What would you choose: _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

For example: ① idioms indicating "high concentration":

Focus, focus, focus, stare.

(2) the famous saying of "modesty":

Full loss, little gain. -"book. Dayu Mo "

Humility is based on strength, and arrogance is based on incompetence. -[Germany] Nitz

Modesty is the conscience of the body. -[France] Balzac

The less you talk about your greatness, the more I think about your greatness. -[British] Bacon

(3) Proverbs describing "accumulation":

Thousands of small rivers become big rivers; A fast fire is not as slow as the sun; Gather dust on Mount Tai; Swallows hold mud nests.

(4) Ancient poems describing "spring scenery":

Du Fu's Seeking Flowers Alone by the Riverside, Ye Shaoweng's Worth Visiting the Garden, He's Singing Willow, and Yang Wanli's Xugong Store in the New City.

⑤ Ancient poems describing "parting":

Li Bai's Farewell to Meng Haoran on the way to Yangzhou from the Yellow Crane Tower, Li Bai's Gift to Wang Lun, Gao Shi's Don't Move Big, and Wang Changling's Farewell to Xin Jian in Furong Inn.

2. Guide students to correctly call accumulation.

Teachers purposefully create situations and design some learning activities to awaken students' accumulation and let students use it correctly. For example:

(1) Post "Ancient Poems" on the flowers and trees in the school.

(2) Design slogans for the following places.

School dining room, gymnasium, reading room ...

(3) Consolidate practice.

1. Carry out comprehensive Chinese learning activities, including: idioms solitaire, two-part allegorical sayings, reading ancient poems, commenting on famous sayings and aphorisms, etc.

2. Write as required.

(1) Write idioms that start with "one", "hundred", "thousand", "sea", "nothing" and "yes".

Write an idiom that means "the integrity of revolutionary martyrs".

(3) Write an idiom which means "Time flies".

(4) Write two famous sayings about "reading is beneficial".

(5) Write two ancient poems expressing patriotic enthusiasm.

(6) Write two ancient poems describing "autumn scenery".

(7) Write two ancient poems describing "friendship".

(8) Write two famous sayings about "cherishing time".

(9) Write two sentences of "agricultural proverbs".

(10) Write two proverbs reflecting "climate".

3. Design slogans for the following places. You can use appropriate famous sayings or create your own.

(1) School Garden:

(2) Music classroom:

(3) Laboratory:

(4) school canteen:

(5) Gymnasium:

(6) book reading room:

Practice knowledge points

(1) can write a simple narrative according to a topic or a proposition.

(2) Be able to write various practical articles as required.

(3) the content is specific, the feelings are true, the sentences are fluent, there is a certain order, the handwriting is neat, pay attention to not writing typos, use common punctuation marks, and have a certain speech speed.

(4) Get into the habit of thinking clearly before writing and revising carefully after writing.

Difficulties and countermeasures

(1) Learn to examine questions.

(2) Pay attention to material selection. The basic requirements are: ① close to the center; ② Appropriate details; 3 strive for new ideas; 4 full of true feelings.

(3) Pay attention to the beginning, end and transition of the article.

(4) The main types of materials are enlargement, abbreviation, rewriting and continuation.

(5) Practical writing should master different writing methods and formats.

(6) Pay attention to cultivate students' good habits of caring about current events and understanding what happens around them at ordinary times.

Mathematics: volume and surface area

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

Area of square = side length × side length formula S= a2

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.

The surface area of a cuboid = (length× width+length× height+width× height )× 2 Formula: S=(a×b+a×c+b×c)×2.

Surface area of cube = side length × side length ×6 Formula: S=6a2.

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 = a3.

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

arithmetic

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

2. Additive associative law: A+B = B+A.

3. Multiplicative commutative law: a× b = b× a.

4. Multiplicative associative law: a × b × c = a ×(b × c)

5. Multiplicative distribution law: a× b+a× c = a× b+c.

6. The nature of division: a ÷ b ÷ c = a ÷(b × c)

7. 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. O is divided by any number that is not O. Simple multiplication: the multiplicand and the end of the multiplier are multiplied by O. You can multiply 1 before o first, and zero does not participate in the operation, and add a few zeros at the end of the product.

8. Division with remainder: dividend = quotient × divisor+remainder

Equations, Algebras and Equality

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.

Equation: An equation with an unknown number is called an equation.

One-dimensional linear equation: An equation with an unknown number of degree 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.

Algebra: Algebra means replacing numbers with letters.

Algebraic expression: Expressions expressed by letters are called algebraic expressions. For example 3x = AB+C.

mark

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

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.

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

Fraction multiplied by integer, numerator is the product of fractional and integer multiplication, denominator remains unchanged.

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

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 concept of reciprocal: 1 If the product of two numbers is 1, we call one of them the reciprocal of the other. These two numbers are reciprocal. The reciprocal of 1 is 1, and 0 has no reciprocal.

A fraction divided by an integer (except 0) is equal to this fraction multiplied by the reciprocal of this integer.

The basic properties of a fraction: the numerator and denominator of a fraction are multiplied or divided by the same number (except 0), and the size of the fraction.

The law of division of fractions: dividing by a number (except 0) is equal to multiplying the reciprocal of this number.

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

False fraction: Fractions with numerator greater than denominator or numerator equal to denominator are called false fractions. False score is greater than or equal to 1.

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

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

Calculation formula of quantitative relationship

Unit price × quantity = total price 2, single output × quantity = total output

Speed × time = distance 4, work efficiency × time = total workload.

Appendix+Appendix = and one addend = and+another addend.

Negative-negative = differential negative = negative-differential negative = negative+difference.

Factor × factor = product One factor = product ÷ another factor.

Frequency divider/frequency divider = frequency divider = frequency divider/frequency divider = quotient × frequency divider

Length unit:

1 km = 1 km 1 km = 1000 m

1 m = 10 decimeter 1 decimeter =10 cm1cm =10 mm.

Area unit:

1 km2 = 1 00ha1hectare =10000m2

1 m2 = 100 square decimeter 1 square decimeter = 100 square centimeter 1 square centimeter = 100 square millimeter

1 mu = 666.666 square meters.

volume unit

1 m3 = 1000 cubic decimeter

1 cm3 = 1000 cm3

1 liter = 1 cubic decimeter = 1000 ml 1 ml = 1 cubic centimeter.

Unit right

1 ton = 1 000kg1kg = 1 000g = 1 kg =1kg.

compare

What is the ratio? When two numbers are divided, it is called the ratio of two numbers. For example, the first and second terms of the ratio of 2÷5 or 3:6 or 1/3 are multiplied or divided by the same number at the same time (except 0), and the ratio remains unchanged.

What is proportion? Two formulas with equal ratios are called proportions. For example, 3: 6 = 9: 18

The basic property of proportion: in proportion, the product of two external terms is equal to the product of two internal terms.

Solution ratio: the unknown term in the proportion is called solution ratio. Such as 3: χ = 9: 18.

Proportion: two related quantities, one of which changes and the other changes. If the ratio (i.e. quotient k) corresponding to these two quantities is constant, these two quantities are called proportional quantities, and the relationship between them is called proportional relationship. For example: y/x=k( k must be) or kx = y.

Inverse proportion: two related quantities, one of which changes and the other changes accordingly. If the product of the corresponding two numbers in these two quantities is certain, these two quantities are called inverse proportional quantities, and their relationship is called inverse proportional relationship. For example: x×y = k( k must be) or k/x = y.

per cent

Percentage: a number that indicates that one number is a percentage of another number, which is called percentage. Percentages are also called percentages or percentages.

To convert decimals into percentages, just move the decimal point two places to the right and add hundreds of semicolons at the end. In fact, to convert a decimal into a percentage, just multiply this decimal by 100%. To convert percentages to decimals, simply remove the percent sign and move the decimal point two places to the left.

When a fraction is converted into a percentage, the fraction is generally converted into a decimal (three decimal places are generally reserved when it is not used up), and then the decimal is converted into a percentage. In fact, to turn a fraction into a percentage, you must first turn the fraction into a decimal and then multiply it by 100%.

Divide the percentage into components, and rewrite the percentage into components first, so that the quotation that can be lowered can be made into the simplest score.

We should learn to decompose fractions into components and fractions into decimals.

Multiples and divisors

Maximum common divisor: The common divisor of several numbers is called the common divisor of these numbers. There is a finite common factor. The largest one is called the greatest common divisor of these numbers.

Least common multiple: The common multiple of several numbers is called the common multiple of these numbers. There are infinite common multiples. The smallest one is called the least common multiple of these numbers.

Prime number: the common divisor has only 1 two numbers, which is called prime number. Two adjacent numbers must be prime numbers. Two consecutive odd numbers must be coprime. 1 and any number coprime.

Comprehensive score: the difference between scores of different denominators is changed into the same denominator score equal to the original score, which is called comprehensive score. (Common divisor is the least common multiple)

Decrement: divide the numerator and denominator of a fraction by the common divisor at the same time, and the fraction value remains unchanged. This process is called dropping points.

Simplest fraction: The numerator and denominator are fractions of prime numbers, which are called simplest fraction. At the end of the score calculation, the score must be converted into the simplest score.

Prime number (prime number): If a number only has 1 and its two divisors, it is called a prime number (or prime number).

Composite number: a number. If there are other divisors besides 1 and itself, such numbers are called composite numbers. 1 is neither prime nor composite.

Prime factor: If a prime number is a factor of a certain number, then this prime number is the prime factor of this number.

Prime factor decomposition: A composite number is represented by the complementary way of prime factors, which is called prime factor decomposition.

Multiple characteristics:

Characteristics of multiples of 2: You are 0, 2, 4, 6, 8.

Characteristics of multiples of 3 (or 9): The sum of the numbers on each digit is multiples of 3 (or 9).

Characteristics of multiples of 5: You are 0, 5.

Characteristics of multiples of 4 (or 25): The last two digits are multiples of 4 (or 25).

Characteristics of multiples of 8 (or 125): the last three digits are multiples of 8 (or 125).

Characteristics of multiples of 7 (1 1 or 13): the difference (big-small) between the last three digits and other digits is a multiple of 7 (1 1 3).

Characteristics of multiples of 17 (or 59): the difference (big-small) between the last three digits and the rest digits is a multiple of 17 (or 59).

Characteristics of multiples of 19 (or 53): the difference (big-small) between the last three digits and other seven digits is a multiple of 19 (or 53).

Characteristics of multiples of 23 (or 29): The difference (big-small) between the last four digits and the other five digits is multiples of 23 (or 29).

Of the two numbers in the multiple relation, the greatest common divisor is smaller and the smallest common multiple is larger.

The coprime relation between two numbers, the greatest common divisor is 1, and the least common multiple is the product.

When two numbers are divided by their greatest common divisor, the quotient is coprime.

The product of two numbers and the least common multiple is equal to the product of these two numbers.

The common divisor of two numbers must be the greatest common divisor of these two numbers.

1 is neither prime nor composite.

A prime number greater than 3 divided by 6 must get 1 or 5.

Odd and even numbers

Even numbers: Numbers are numbers of 0, 2, 4, 6 and 8.

Odd number: The number is not 0, 2, 4, 6 or 8.

Even even = even Qiqi = Qiqi.

Even numbers add up to even numbers, and odd numbers add up to odd numbers.

Even × even = even × odd = odd × even = even.

The sum of two adjacent natural numbers is odd, and the product of adjacent natural numbers is even.

If one number in the multiplication is even, then the product must be even.

Odd ≠ even number

separable

If c | a, c | b, then c | (a b)

If, then b | a, c | a

If b | a, c | a and (b, c)= 1, then BC | a.

If c | b, b | a, then c | a

decimal

Natural number: an integer used to represent the number of objects, called natural number. 0 is also a natural number.

Pure Decimal: Decimal in units of 0.

With Decimal: Decimal with more than 0 digits.

Cyclic decimal: a decimal, starting from a certain bit of the decimal part, and one or several numbers are repeated in turn. Such decimals are called cyclic decimals. Like 3. 14 14 14.

Acyclic decimal: a decimal, starting from the decimal part, without one number or several numbers appearing repeatedly. Such a decimal is called acyclic decimal. Like 3. 14 1592654.

Infinite cycle decimal: a decimal, from the decimal part to the infinite digits, and one or several numbers are repeated in turn. Such decimals are called infinite cyclic decimals. For example, 3. 14 14 14 ...

Infinite acyclic decimal: a decimal, from decimal part to infinite digits, is called infinite acyclic decimal without one number or several numbers appearing repeatedly. Such as 3. 14 1592654. ...

profit

Interest = principal × interest rate × time (time is usually in years or months, which should correspond to the unit of interest rate).

Interest rate: The ratio of interest to principal is called interest rate. The ratio of interest to principal for one year is called annual interest rate. The ratio of interest to principal in January is called monthly interest rate.

English: All words and phrases are recited.