High scores seek answers and processes, and high scores seek detailed processes

The two numbers add up to 4, and their absolute values add up to 7, so the two numbers have different signs. And the number with the largest absolute value is positive.

The two numbers of different signs are added together, and the absolute value is the difference between the absolute values of the two numbers.

denote a as the absolute value of a number with a large absolute value, and b as the absolute value of another number.

a+b=7a-b=4

2a=11, a=b=or.

Both sides are squared:

x-square + 2xy + y-square = 16

Absolute value of x square + 2xy + y square = 49

Subtract to get: the absolute value of 2xy - 2xy = 25

Analyze this: if 2xy is 0, then the difference should be 0

If 2xy = 0, then it is also 0, and if 2xy is 0, then the difference is different.

So xy = column a system of equations:

x+y=4xy=

Untie it yourself. So doesn't x-y know?

1. Set x>0 and y<0

Then x= y= then x-y=7

2. Set x<0 and y>0

Then x= y= then x-y=7

In summary: x-y = -7 or 7

Let x=,y= conform to x+y=4,|x|+|y|=7

So x-y=4

Use the special value method! ）

Representing y with x is brought into the following equation, and then categorized to talk about removing absolute values.

Because |a+b|=2, so |a+b|2=4, ie.

a+b|^2

a+b)^2

a^2+2ab+b^2

a|^2+2ab+|b|^24+2ab

So ab=0So if there are real numbers such that ( a-b) are perpendicular to (a+2b), then.

a-b)(a+2b)

a^2+(2λ-1)ab-2b^2

Hence =6.i.e. =6, ( a-b) is perpendicular to (a+2b).

I feel that it is a wrong question, from the question stem, we know that the absolute value of a+b is equal to 2, the square of the two sides of the equal sign is obtained by the square of a plus b, plus the absolute value of 2ab is equal to 4, and the absolute value of a is equal to 1, and the absolute value of b is equal to the root number 3, so a square is equal to 1, b square is equal to 3, the absolute value of 2ab is equal to 0, and the multiplication of ab is impossible to equal 0.

"The gentleman is not a vessel" comes from the Analects, where the "utensil" refers to the utensil, and the utensil itself has three distinct characteristics. One is the use, which has a more fixed purpose; the second is quantitative, with a certain capacity; The third is qualitative, which has a certain nature. It can be seen from this that Confucius's "gentleman is not a weapon" actually contains a profound truth of personal cultivation - a learned and cultivated person should not only be a tool that can be used, but should have the use value of the more the merrier, the magnanimity of tolerance and generosity, and the innovative quality of flexibility and adaptability.

A deeper analysis of its characteristics reveals its deeper meaning. As far as fixed use is concerned, "a gentleman does not use a tool" tells us that whether it is a scholar or a politician, he should be erudite and have a wide range of talents, so that he will not be used for a limited purpose like a utensil. In terms of quantitatively, "a gentleman is not a weapon" requires us that the gentleman's bearing should be like a river and a sea, and not a general capacity limit for utensils.

In terms of qualitative aspects, "a gentleman does not use a weapon" reveals that when and where we treat people and things, we should not be stereotyped like objects, but should take appropriate actions at the right time, right place, right person and right thing.

Zeng Zi systematically summarized the ethical and political thought of pre-Qin Confucianism in "University", expounded the principles and steps of Confucian self-cultivation, and took human self-cultivation as the core, proposing that "from the Son of Heaven to the common people, everything is based on self-cultivation." "Object, knowledge, sincerity, and righteousness are the methods of self-cultivation, emphasizing that people's self-cultivation is not only a process of introspection, but also a process of contact with external objects, exhaustively studying physics to obtain knowledge, cultivate moral character, and improve personality.

The way of the university, which is extracted from the moral practice of Confucianism to the sages or its moral teachings, has not only become a philosophy of life that participates in shaping the national character in ancient Chinese society where Confucianism is the mainstream-orthodox ideology, but also has a unique morality-based solution to the two universal problems of the individual-subject self-achievement and its relationship with society. It is still of practical guiding significance for people to behave in the world and even for the realization of social harmony.

Question (1): y=k*(x 2+3x+2)+2x+2, when the coefficient multiplied by k is 0, no matter what the value of k is, the value of the function cannot be changed, and when x=-1, -2, k=0, so that it passes through two fixed points (-1,0) and (2,-2), it is a correct and true proposition.

Question (2): When k = -1 2 is not true, m can be 0, incorrect, false proposition.

Question (3): After substituting the two points mentioned in the first question, wouldn't it be judged that they are false propositions?

Question (4): After substituting the two points mentioned in the first question, don't you judge that they are true propositions?

Get a high score first, don't come back if you can't do it, the answer is out, sit back and wait for a high score.

Because abcd is on the same straight line, and because de ad, bf ad, angle eca= angle bfd, so ce bf, so egc= fgb; So deg is similar to bfg; Since CE=BF, then DEG is all equal to BFG, so EG=FG, so G is the midpoint of EF;

Holds, because deg is all equal to bfg, so eg=fg, so g is the midpoint of ef.