Reaching out about hocdethi.blogspot.com



Hi - my name is Louise, and I work at Artsy. While researching Annie Leibovitz, I found your page: http://hocdethi.blogspot.com/2014/11/10-reasons-why-i-ignored-your-resume.html.

I am reaching out to certain website and blog owners that publish content in line with our mission to make all the world's art accessible to anyone. We hope to continue promoting arts education and accessibility with your help.

Our Annie Leibovitz page provides visitors with Leibovitz's bio, over 15 of her works, exclusive articles, and up-to-date Leibovitz exhibition listings. The page also includes related artists and categories, allowing viewers to discover art beyond our Leibovitz page. We would love to be included as an additional resource for your visitors via a link on your page.

If you are able to add a link to our Leibovitz page, please let me know, and thanks in advance for your consideration.

Best,
Louise

"A thing that you see in my pictures is that I was not afraid to fall in love with these people."
-Annie Leibovitz


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Hướng Dẫn Giải Toán Lớp 8 HKII Trường Trần Quốc Toản




ĐỀ CHÍNH THỨC

Câu 1 (4 điểm): Giải các phương trình sau.

a)    12-6x=4(2x+3)

b)  

c)   

d)  

Câu 2 (1,5 điểm): Giải các bất phương trình và biểu diễn tập nghiệm trên trục số.

a)   

b)  

Câu 3 (1 điểm) Giải bài toán bằng cách lập phương trình.

Hiệu của hai số là 16 và số lớn gấp 5 lần số bé. Tìm hai số đó?

Câu 4 (3,5 điểm): Cho tam giác ABC vuông tại A có đường cao AH và đường phân giác trong BD.

a)     Chứng minh: Suy ra: AH.BC=AB.AC.

b)    Chứng minh:

c)     Qua C vẽ đường thẳng a song song với BD, từ B kẻ BE a (E a), đường thẳng BE cắt đường thẳng AC tại F. Chứng minh: DA.FC=DC.FA

d)    Chứng minh:


 

Giải

Câu 1:

a)     12-6x = 4(2x+3)

12-6x = 8x+12

8x+6x = 12-12

14x     = 0

  x       = 0

b) 

3(2x+3)=2(4x-2)

6x+9=8x-4

6x-8x=-4-9

-2x=-13

x=

c)    


2x-5=x+1

2x-x=1+5

x=6

 

 

 

hoặc 2x-5= -(x+1)

2x-5=-x-1

2x+x=-1+5

3x=4

x=4/3


d) 

ĐKXĐ:x±5

2x-4=2(x-5)+3(x+5)

2x-4=2x-10+3x+15

2x-5x=5+4

-3x=9

x=-3

Câu 2:

a)    

2x-x >-5+3

X >-2

b) 

7(x+1) ≥ 3(3x-5)

7x+7 ≥ 9x-15

7x-9x ≥ -15-7

-2x ≥ -22

X ≤ 11

Câu 3:

Gọi x là số bé.

Suy ra số lớn: 5x

Theo đề bài ta có:

5x-x=16

4x=16

X=4

Số lớn: 5x=5.4=20

Câu 4:

 

 

 

 

 

 

 

 


a.     Xét hai tam giác BAH và BCA ta có:

(cùng phụ gốc )

chung.

=>:

AH.BC=AB.AC

b.    Vì BD là phân giác của tam giác ABC. Nên Áp dụng tính chất dường phân giác ta có:

Kết hợp với (*) ta được:

c.

 

 

 

 

 

 

 

 

 


Giải:

Ta có:

+=90o

+=90o

=>=

Mà:= (đối đỉnh)

Suy ra: =

Vậy BF là tia phân giác ngoài của góc B.

Áp dụng tính chất phan giác ta có:

Kết hợp với (*) ta được:

=>DA.FC=FA.DC

d. dể thấy hai tham giác FAB và FEC đồng dạng, vì hai tam giác vuông có chung gốc F.

Xét hai tam giác FAE và FBC ta có:

(ở trên)

Gốc F chung

Suy ra: FAEFBC

 


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