On the number axis, the opposite number of point a is obtained after it is shifted to the right 9 unit lengths

On the number axis, the opposite number of point a is obtained after it is shifted to the right 9 unit lengths

x+9=-x
2x=-9
x=-4.5
The number represented by point a is - 4.5
a+a+9=0
2a=-9
a=-4.5
English translation
RT
source:
"I call myself 'reluctant'," she says,"not because I think I'm owed a job,or would rather be travelling the world or kicking back with a cup of tea,but because I've been raised and educated to aspire to be a good employee."
Per online Merriam-Webster Dictionary:
kick back
intransitive verb
Definition of KICK BACK
:to assume a relaxed position or attitude; also :to spend time relaxing :take it easy
Kicking back with a cup of tea - relax with a cup of tea
Kick back;
Kicking back with a cup of tea
The function f (x) = X3 + SiNx + 1 (x ∈ R), if f (a) = 3, then the value of F (- a) is ()
A. 3B. 0C. -1D. -2
∵ f (a) = 3, ∵ 2sina + a3 + 1 = 3 ∵ 2sina + a3 = 2 ∵ f (- a) = - 2sina-a3 + 1 = - (2sina + a3) + 1 = - 2 + 1 = - 1, so C is selected
Given the function f (x) = sin2x-2sinx ^ 2 (1), find the minimum positive period of function f (x) (2) find the maximum value of function f (x) and the set of X when f (x) takes the maximum value
（1）f(x)=sin2x-1+cos2x=√2sin(2x+π/4)-1
Minimum positive period T = 2 π / 2 = π
(2) F (x) = √ 2Sin (2x + π / 4) - 1, the maximum is √ 2-1
In this case, 2x + π / 4 = 2K π + π / 2
x=kπ+π/8 (k∈Z)
If the point representing - 1.5 on the number axis is shifted 2 / 3 unit length to the left to get C and 2 / 3 unit length to the right to get D, then what are the sequences of numbers represented by C and D
The number represented by point C is: - 1.5 + (- 2 / 3) = - 3 / 2-2 / 3 = - 13 / 6
The number represented by point D is; - 1.5 + 2 / 3 = - 3 / 2 + 2 / 3 = - 5 / 6
Then C and D are - 13 / 6 and - 5 / 6 respectively
The number represented by point C is: - 1.5 + (- 2 / 3) = - 3 / 2-2 / 3 = - 13 / 6
The number represented by point D is; - 1.5 + 2 / 3 = - 3 / 2 + 2 / 3 = - 5 / 6
Then C and D are - 13 / 6 and - 5 / 6 respectively
I ___ a cup of tea.
A.want to B.want C.like to D.couid like
Answer: I
I want a cup of tea
Sb want sth
[Pro! Your 10 points of satisfaction, our team's unlimited motivation]
I want a cup of tea
The function f (x) = LG [(kx-1) / (x-1)], k > 0
When u > 0, LGU increases,
When x ∈ [10, + ∞), G (x) = (kx-1) / (x-1) > 0, and increases only
(kx-1) / (x-1) = K + (k-1) / (x-1) single increment = > (k-1) < 0 = > 0 (kx-1) > 0 = > k > 1 / 10
Therefore, 1 / 10 < K < 1
(1) According to the meaning of the title, kx-1 / X-1 > 0, that is, (x-1) (kx-1) > 0,
∵ K ＞ 0, ∵ should be calculated in three cases
When 0 < K < 1, the domain is (- ∞, 1) ∪ (1 K, + ∞),
When k = 1, the domain is (- ∞, 1) ∪ (1, + ∞)
When k > 1, the domain of definition is (- ∞, 1K) ∪ (1, + ∞);
(2) Let y = kx-1 / X-1 = K + k-1 / X-1,
∵ the function y = lgx is expanded in the domain of definition
(1) According to the meaning of the title, kx-1 / X-1 > 0, that is, (x-1) (kx-1) > 0,
∵ K ＞ 0, ∵ should be calculated in three cases
When 0 < K < 1, the domain is (- ∞, 1) ∪ (1 K, + ∞),
When k = 1, the domain is (- ∞, 1) ∪ (1, + ∞)
When k > 1, the domain of definition is (- ∞, 1K) ∪ (1, + ∞);
(2) Let y = kx-1 / X-1 = K + k-1 / X-1,
∵ function y = lgx is monotonically increasing on the domain of definition, and f (x) is monotonically increasing on [10, + ∞),
The function y = kx-1 / X-1 increases monotonically on [10, + ∞), and the solution is k < 1,
∪ when 0 ＜ K ＜ 1, the definition domain of function is (- ∞, 1) ∪ (1 K, + ∞),
1 / K ＜ 10, that is, K ＞ 1 / 10,
(1 / 10, 1)
The range of the function y = cos2x-8cosx is______ .
Y = cos2x-8cosx = 2cos2x-8cosx-1 = 2 (cosx-2) 2-9, because cosx ∈ [- 1, 1], and when cosx < 2, y is a decreasing function, so when cosx = 1, the minimum value of Y is 2 × (1-2) 2-9 = - 7; when cosx = - 1, the maximum value of Y is 2 × (- 1-2) 2-9 = 9. So the range of function y is [- 7, 9]. So the answer is: [- 7, 9]
It is known that two points a and B are on the number axis, point a represents the number of - 10, OB = 30a, and point m moves from point a to the right at the speed of 3 unit lengths per second (point m and point n start at the same time)
(1) Write the number corresponding to point B on the number axis is ()
(2) After a few seconds, the distances from the points m and N to the origin 0 are equal
(3) When point m moves to a certain position, it just makes am = 2bm
Dear good brothers and sisters, this is a question in the final exam of Zhongshan District
(1) The number corresponding to B is (300) (2) since the starting point and velocity of N are not given, it is impossible to solve. The original guess is that point m moves from point a to the right at the speed of 3 unit lengths per second, and point n moves from point B to the left at the speed of? Unit lengths per second. After a few seconds, the distances from points m and N to origin 0 are equal? O (∩)_ ∩)O...
English composition phrases
The more sentences used in senior middle school English composition, the more awesome, the less afraid of copying, the more the better, the classic, and the Chinese question answering mode in high school.
1、 According to the function of cohesive words, they can be divided into four categories: Qi, Cheng, Zhuan and he
Words / phrases indicating "Qi": used to lead to extended sentences at the beginning
At first for one thing (for another)
At present (second)
Currently; recently
First (ly) first in general
In the beginning (on the other hand)
To begin with (on the other hand)
First of all
In the first place
Recently to start with
Present now
(2) common words about "Cheng": used to carry on the above
After / after that / after wards by this time
After a few days
After a while
Also / too and for example
At the same time for instance
Besides for this purpose
Besides / what, s more
Second point
　　in addition to… In addition to Second only
In fact, similarly
In other words so
In particular soon
In the same way still
By the way
Third point
Mean while third
Secondly, for another
No doubt such as
Obviously later
In fact; truly
Especially unlike Not like ; and Different
What is more
(3) common words about "Zhuan": used to express different or opposite opinions
After all fortunately
All the same still
In spite of Although
At the same time
But by this time
Although no double
In / by contrast on the contrary
Even though otherwise
Still unfortunatly
In fact, unlike ; and Different
As a matter of fact
Especially
(4) common words about "he": used to summarize the above or end the paragraph
The most important thing is to conform
As a result in sum
As has been noted
As I have said on the whole
At last
By and large
Briefly to speak frankly
By doing so to sum up
Finally, there is no doubt
Finally to include
In brief no doubt
In a word, it is undoubtedly in the end
In short
In a word, so
Of course; undoubtedly obviously
All in all
Second, according to the meaning of the cohesive words and the logical meaning of the passage, they can be divided into the following 14 categories
(1) indicating causality
　　as a result
　　He never studied hard, and as a result he failed in the last examination.
　　as a result of
　　He is late for work as a result of traffic accident.
　　accordingly
　　He wanted to buy a radio for study English, and accordingly her mother bought it for him.
　　because(of)
　　We are delayed because of a traffic jam.
　　due to
　　His success is due to his excellent work.
　　owing to
　　Owing to his absence, our meeting is not held.
　　thanks to
　　Thanks to a good teacher, she passed the examination.
　　now that
　　Now that you have grown up, you must earn for yourself.
　　so long as
　　You could realize your dream so long as you try it again and again.
　　since
　　Since you are here now, you,d better give a hand.
　　in that
　　The policy is harmful in that it may encourage people to give up.
　　so that
　　The office speaks at the top of his voice so that every soldier could hear him.
　　therefore
　　There is a calculating mistakes there, therefore, the answer is wrong.
(2) express the relationship of interpretation
　　as a matter of fact
　　I will go there this morning, as a matter of fact, I am only 10 minutes, drive from you.
　　as well
　　I will go there. My friend will go with me as well.
　　frankly speaking
　　Frankly speaking, I am not very satisfactory with your words.
　　in this case
　　In this case, I will go there as soon as possible.
(3) expressing reasoning relations
　　or else
　　Hurry up, or else you,ll be late.
　　otherwise
　　You must carry this passport, otherwise you will be stopped by the guard.
　　if so
　　If so, it will make a great difference.
(4) indicating progressive relationship
　　in addition
　　I need your help. In addition, I also need her support.
　　besides
　　First, we must work hard. Besides, we must work with a creative mind.
　　and moreover
　　The hat is the right size for you, and moreover, it goes well with your skin.
　　that is to say
　　The stock price is declining, that is to say, I am losing money.
　　in ot