（x-4）平方=（5-2X）平方

（x-4）平方=（5-2X）平方

直接開方
x-4=±（5-2x）
x-4=5-2x.x=3
x-4=-（5-2x）=2x-5，x=1
所以x=3，x=1
或者平方差
（x-4）²；-（5-2x）²；=0
（x-4+5-2x）（x-4-5+2x）=0
（1-x）（3x-9）=0
x=1，x=3

初三的因式分解法
（x+6）（x-7）=14和7x（3-x）=4（x-3）該怎麼解？

（x+6）（x-7）=14
x²；+6x-7x-42=14
x²；-x-56=0
（x-8）（x+7）=0
解得x=8或x=-7
7x（3-x）=4（x-3）
21x-7x²；=4x-12
7x²；-17x-12=0
（7x+4）（x-3）=0
解得x=-4/7或x=3

（a+b）（a+b-2ab）+（ab-1）（ab+1）用因式分解來回答
用初一的計算管道來算，

（a+b）（a+b-2ab）+（ab-1）（ab+1）
=（a+b）^2-2ab（a+b）+（ab）^2-1
=（a+b-ab）^2-1
=（a+b-ab-1）（a+b-ab+1）

因式分解：（a+b-2ab）（a+b-2）+（1-ab）^2

（a+b-ab-1）^2

f（x）=-2x+3是奇函數嗎？

f（-x）=2x+3 -f（x）=2x-3 f（-x）≠-f（x），所以這個函數不是奇函數.

小學六年級英語寒假作業
火眼金睛，我是找錯小能手.
（）1.A.Go straight B.at five C.minutes.
（）2.A.Thank you B.for C.comes.
（）3.Look A.at me B.near the C.door.
（）4.The school A.is east B.on the C.cinema.
（）5.A.Turn right B.on the C.bookstore.
按要求變換句型.
1.I'm going to clean my room this afternoon.（變為否定句）
_______________________________________________________
2.Are you going to the cinema this evening？（作肯定回答）
________________________________________________________
3.I'm going to the park tomorrow.（對the park提問）
_____________________________________________________
4.I'm going to visit my aunt on Sunday.（對visit my aunt提問）
_________________________________________________
你知道系動詞be（am，is，are）的用法嗎？請用其正確形式填空.
1.I________going to the zoo this afternoon.
2.She_________going to take a trip tomorrow.
3.He__________going to read a storybook tonight.
4.We________going to the cinema this evening.
5.What________they going to do on the weekend？
連詞成句.
1.weekend to you are what on going do the
________________________________________
2.I going am weekend to visit grandparents my this
_____________________________________________________
3.bus zoo I'm by going the to
__________________________________
讀短文，選擇正確答案.
Hello，I am Amy. I'm going to have a busy weekend！On Saturday，I'm going to the shoe store by bus. I'm going to buy a pair of shoes for my mother. Then I'm going to go home and read some magazines. On Sunday，I'm going to the zoo with my sister. Then，in the evening，I'm going to visit my friend Chen Jie. We are going to piay computer gamestogether.Whatabout you？
（）1.What's Amy going to do on Sunday？She's going to the______.
A.cinema B.zoo C.hospital
（）2.—What are Amy and her friend going to do on Sunday evening？
—They are going to_______.
A.piay computer games B.watch TV C.buy some books
（）3.Amy is going to the zoo with______on Sunday.
A.her uncle B.her brother C.her sisthr
（）4.Where is Amy going on Aaturday？
A.Bookstore. B.Shoe store. C.Zoo
（）5.How is Amy going to the shoe store？
A.On foot B.By car. C.By bus.
按要求寫出下列各詞的相應形式.
far（反義詞）______east（反義詞）________
by（同音詞）_______I（同音詞）_________
for（同音詞）_______to（同音詞）________

火眼金睛，我是找錯小能手.
（B for）1.A.Go straight B.at five C.minutes.
（C coming）2.A.Thank you B.for C.comes.
（B at）3.Look A.at me B.near the C.door.
（B of the）4.The school A.is east B.on the C.cinema.
（B at）5.A.Turn right B.on the C.bookstore.
按要求變換句型.
1.I'm going to clean my room this afternoon.（變為否定句）
I am not going to clean my room this afternoon.
2.Are you going to the cinema this evening？（作肯定回答）
I'm going to the cinema this evening
3.I'm going to the park tomorrow.（對the park提問）
Where you going tomorrow？
4.I'm going to visit my aunt on Sunday.（對visit my aunt提問）
What are you going to do this sunday？
你知道系動詞be（am，is，are）的用法嗎？請用其正確形式填空.
1.I___am_____going to the zoo this afternoon.
2.She____is_____going to take a trip tomorrow.
3.He____is______going to read a storybook tonight.
4.We___are_____going to the cinema this evening.
5.What_____are___they going to do on the weekend？
連詞成句.
1.weekend to you are what on going do the
What are you going to do on the weekend？_
2.I going am weekend to visit grandparents my this
I am going to visit my grandparents this weekend.
3.bus zoo I'm by going the to
I“m going to the zoo by bus.
讀短文，選擇正確答案.
Hello，I am Amy.I'm going to have a busy weekend！On Saturday，I'm going to the shoe store by bus.I'm going to buy a pair of shoes for mymother.ThenI'm going to go home and read somemagazines.OnSunday，I'm going to the zoo with mysister.Then，in the evening，I'm going to visit my friend ChenJie.Weare going to piay computer gamestogether.Whatabout you？
（B）1.What's Amy going to do on Sunday？She's going to the______.
A.cinema B.zoo C.hospital
（A）2.—What are Amy and her friend going to do on Sunday evening？
—They are going to_______.
A.piay computer games B.watch TV C.buy some books
（C）3.Amy is going to the zoo with______on Sunday.
A.her uncle B.her brother C.her sisthr
（B）4.Where is Amy going on Aaturday？
A.Bookstore.B.Shoe store.C.Zoo
（C）5.How is Amy going to the shoe store？
A.On foot B.By car.C.By bus.
按要求寫出下列各詞的相應形式.
far（反義詞）near east（反義詞）_west
by（同音詞）_bye I（同音詞）__eye
for（同音詞）__four to（同音詞）___too

將自然數順次依下法分組：第一組一個數，第二組兩個數，第三組三個數，第n組n個數，1）求第k組各數？
將自然數順次依下法分組：第一組一個數，第二組兩個數，第三組三個數，第n組n個數，即（1），（2,3），（4,5,6）……
1）求第k組各數之和；
2）求前n組各數之和.

第k組第一個數為k（k-1）/2+1，最後一個為k（k-1）/2+k
第k組各數和為
{[k（k-1）/2+1]+[k（k-1）/2+k]}*k/2=（k*k+1）*k/2=（k^3+k）/2
第n組各數和為（n^3+n）/2
將前n組各數之和折開成（1^3+2^3.+n^3）/2和（1+…+n）/2
（1^3+2^3.+n^3）/2=[n（n+1）/2]^2
（1+…+n）=n（n+1）/2
所以（n^3+n）/2={[n（n+1）/2]^2+n（n+1）/2}/2
=n（n+1）（n^2+n+2）/8

已知關於x的方程kx∧（2+k）-1=0是一元一次方程，k∧2013的值

由題意知2+k=1即可滿足一元一次方程定義
所以k=-1
所以k^2013=-1

小麗買賀年卡和明信片共14張，花了40元.賀年卡每張2.5元，明信片每張3.5元.小麗買的賀年卡與明信片各有多少張？

賀年卡：（3.5×14-40）÷（3.5-2.5）=9（張）；明信片：14-9=5（張）；答：他買了9張賀年卡，5張明信片.

任意給出3個不同的自然數，其中一個一定有2個數的和是偶數.你認為對嗎？請說明理由.

對的這三個數中必有兩個數同奇偶（抽屜原理）這兩個數的和必為偶數