Tìm giá trị nhỏ nhất A= x^2—2x+2017

a) Tìm giá trị nhỏ nhất: A= 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Theo dõi Vi phạm

Toán 6 Chương 1 Bài 12 Trắc nghiệm Toán 6 Chương 1 Bài 12 Giải bài tập Toán 6 Chương 1 Bài 12

Trả lời (1)

Giải : Ta có: A=\(\dfrac{x^2-2x+2017}{x^2}\)

=\(\dfrac{\left(x-1\right)^2}{x^2}+\dfrac{2016}{x^2}\)\(\ge\) \(\dfrac{2016}{x^2}\)

Dấu đẳng thức xảy ra \(\Leftrightarrow\) \(\left(x-1\right)^2=0\Leftrightarrow x=1\)

Vậy Min A = 2016 \(\Leftrightarrow\) x=1

bởi Chịp Thúy 29/12/2019

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Các câu hỏi mới

Cho tam giác ABC có 3 góc đều nhọn , đường cao BH,CK. Gọi D và E lần lượt là hình chiếu của B và C. Trên đường thẳng HK , M là trung điểm của BC: Chứng minh tứ giác BDEC là hình thang vuông.

Lm hộ em nhé

22/11/2022 | 0 Trả lời
Hình bình hành ABCD có góc A = 60 . lấy E thuộc AD và F thuộc CD sao cho DE = CF. gọi K là điểm đối xứng với F qua BC . chứng minh EK // AB

Hình bình hành ABCD có góc A = 60 . lấy E thuộc AD và F thuộc CD sao cho DE = CF. gọi K là điểm đối xứng với F qua BC . chứng minh EK // AB

25/11/2022 | 0 Trả lời
Phân tích đa thức thành nhân tử: (7+27x+9x^2+x^3 )

phân tích đa thức thành nhân tử:
27+27x+9x^2+x^3
x^2-5x-y^2+5y
4x^2-12x+9-y^2

29/11/2022 | 0 Trả lời
cho tam giác ABC cân tại A, đường cao AD. O là trung điểm AC. E đối xứng với B qua O

cho tam giác ABC cân tại A, đường cao AD. O là trung điểm AC. E đối xứng với B qua O
a) chứng minh: AECD là hình chữ nhật
b) gọi I là trung điểm AD. chứng minh I là trung điểm BE
c) cho AB=10cm, BC=12cm. Tính diện tích tam giác OAD
d) đường thẳng OI cách AB tại K. tìm điều kiện của tam giác ABC để tứ giác AEDK là hình thang cân

30/11/2022 | 0 Trả lời
Tìm GTLN:

Tìm GTLN:

1) A= -x^2+4x+4

2) B= -x^2+6x-1

3) C= -2x^2+4x-5

4) D= -2x^2+8x-2

5) E= -3x^2+6x-2

6) F= -3x^2+2x-1

30/11/2022 | 0 Trả lời
cho tứ giác abcd có e,f,g,h là trung điểm ab,ac,cd,ad. tìm điều kiện của tứ giác abcd để efgh là a,hinh chữ nhật b, hình thoi c, hình vuông

cho tứ giác abcd có e,f,g,h là trung điểm ab,ac,cd,ad. tìm điều kiện của tứ giác abcd để efgh là a,hinh chữ nhật b, hình thoi c, hình vuông. vẽ hình viết giả thiết, kết luận trước mới giải

02/12/2022 | 0 Trả lời
(3x-1)-2x(4x-3)=5

(3x-1)-2x(4x-3)=5

07/12/2022 | 0 Trả lời
Toán 8 , tìm x

tìm x : (x – 5)^2 = 4x^2

b) 7x^2 – 16x = 2x^3 – 56

c) – 4x^2 + 28x = 0

d) x(x + 6) -7x -42 = 0

e) (x - 4)^2 – 36 = 0

f) 3x^2 + 5y – 3xy – 5x

08/12/2022 | 0 Trả lời
giải phương trình

\({\left( {x + 5} \right)^2} + {\left( {x - 2} \right)^2} = 2\left( {x + 1} \right)\left( {x - 1} \right)\)

09/12/2022 | 0 Trả lời
Cho tam giác ABC cân tại A đường cao AH gọi M là trung điểm AC,E đối xứng với H qua M. Chứng minh AECH là hình chữ nhật.

cho tam giác ABC cân tại A đường cao AH gọi M là trung điểm AC,E đối xứng với H qua M.

a)chứng minh AECH là hình chữ nhật

b)ABHE là hình gì? Vì sao?

c)tính AECHbiết BC=12cm,AH=8cm

d)tam giác ABC cần thêm điều kiện gì để tứ giác ABHE là hình vuông

13/12/2022 | 0 Trả lời
Thực hiện phép tính: 5x(3x-2)

5x(3x-2)

13/12/2022 | 2 Trả lời
Cho Tam giác ABC cân tại A, gọi D, E, F lần lượt là t/đ của AB, AC, BC. Chứng minh tứ giác DECF là hình bình hành.

Cho Tam giác ABC cân tại A, gọi D,E,F lần lượt là t/đ của AB,AC,BC

a.C/m t/g DECF là hbh

b.Gọi K là điểm đối xứng của F qua E. C/m t/g AKCF là hcn

c. Gọi H là điểm đối xứng của A qua K. Vẽ AI vuông góc với CH tại I. Tính số đo KIF

16/12/2022 |   0 Trả lời
Tìm x biết: ((x-3)^2-(x-1)(x+1)=10)

(x-3)^2-(x-1)(x+1)=10

16/12/2022 | 1 Trả lời
Tìm x biết: ({x^{2;}} - 4 = 3{left( {x - 2} ight)^2})

x²- 4 = 3(x-2)²

tìm x

16/12/2022 | 1 Trả lời
Thực hiện phép tính: ((3x + 4{x^2} - 2)( - {x^2} + 1))

Bài 1: Thực hiện phép tính:

a, (3x+4x²-2)(-x²+1)

b,(x+2)(x-1)-x(x+3)

c,(x+3)(x²+3x-5)

d,(2x-1)(3x+2)(3-x)

17/12/2022 | 1 Trả lời
Tìm giá trị nhỏ nhất của biểu thức : (P = {x^4} + {x^2} - 6x + 9)

a) Tìm giá trị nhỏ nhất của biểu thức : P= x⁴ + x² - 6x+9

b) chứng minh rằng n²+11n+39 không chia hết cho 49 với mọi số tự nhiên n

18/12/2022 | 0 Trả lời
Cho ABC, trung tuyến AM. Gọi I là trung điểm của AC. Gọi K là điểm đối xứng với M qua I. Chứng minh: Tứ giác ABMK là hình bình hành.

Cho ABC, trung tuyến AM. Gọi I là trung điểm của AC. Gọi K là điểm đối xứng với M qua I

.          a.Chứng minh : Tứ giác ABMK là hình bình hành.



b.Tìm điều kiện của tam giác ABC để AMCK là hình thoi.

20/12/2022 |   0 Trả lời
Cho tam giác ABC vuông tại A, đường trung tuyến AM. Gọi O là trung điểm của AC, N là điểm đối xứng với M qua O. Chứng minh tứ giác AMCN là hình thoi.

Cho tam giác ABC vuông tại A, đường trung tuyến AM. Gọi O là trung điểm của AC, N là điểm đối xứng với M qua O
a) Chứng minh tứ giác AMCN là hình thoi
b)Cho AB= 14cm, AC= 8cm, Tính diện tích tâm giác COM
c) Tam giác ABC caand điều kiện gì thì tứ giác AMCN là hình vuông?

20/12/2022 | 0 Trả lời
Chứng minh toán hình

Cho hình bình hành ABCD có AB=2BC.Gọi M và N lần lượt theo thứ tự là trung điểm của AB và CD

a/ Chứng minh tứ giác ABCD là hình bình hành

b/ tứ giác AMND là hình gì

c/ gọi I là giao điểm của AN và DM, K là giao điểm của BN và CM. Chứng minh tứ giác MKNI là hình chữ nhật
d/hình bình hành ABCD có thêm điều kiện gì để tứ giác MKNI là hình vuông

28/12/2022 | 0 Trả lời
Tính GTNN của: (frac{{({x^2} + 2x + 3)}}{{({x^2} + 2x + 7)}})

Tính GTNN của: (x²+2x+3)/(x²+2x+7)

28/12/2022 | 0 Trả lời
Tìm x, biết rằng: ((x+2) ^2-(x-2)(x+2) = 0)

tìm x, biết rằng:(x+2) ^2-(x-2)(x+2) =0

31/12/2022 | 2 Trả lời
Giải phương trình: x³ – 2x²y + xy² – x

x³ – 2x²y + xy² – x

01/01/2023 | 0 Trả lời
Cho hình thoi ABCD, O là giao điểm hai đường chéo. Vẽ đường thẳng qua B và song song với AC, vẽ đường thẳng qua C và song song với BD, hai đường thẳng đó cắt nhau tại K. Tứ giác OBKC là hình gì? Vì sao?

Bài 4: Cho hình thoi ABCD, O là giao điểm hai đường chéo. Vẽ đường thẳng qua B và song song với AC, vẽ đường thẳng qua C và song song với BD, hai đường thẳng đó cắt nhau tại K.

           a) Tứ giác OBKC là hình gì? Vì sao?

b) Chứng minh: AB = OK.

           c) Tìm điều kiện của tứ giác ABCD để tứ giác OBKC là hình vuông.

hép miii

03/01/2023 |   0 Trả lời
Cho đường tròn tâm O bán kính R và một điểm A nằm ngoài đường tròn. Qua a kẻ tiếp tuyến AB với đường tròn (B là tiếp điểm ). Tia Ax nằm giữa AB và AO cắt đường tròn O,R tại 2 điểm C và D (C nằm giữa A và D ). Gọi M là trung điểm của dây CD, kẻ BH vuông góc với AO tại H. Tính OH.

Toán 7 oki nhé giúp zới help

03/01/2023 | 0 Trả lời
Phân tích đa thức thành nhân tử: ( - {x^2} + 4x - 4)

Kết quả phân tích đa thức -x² + 4x - 4 là

04/01/2023 | 1 Trả lời

ADSENSE

ADMICRO

Tìm giá trị nhỏ nhất A= x^2—2x+2017

Trả lời (1)

Các câu hỏi mới

Cho tam giác ABC có 3 góc đều nhọn , đường cao BH,CK. Gọi D và E lần lượt là hình chiếu của B và C. Trên đường thẳng HK , M là trung điểm của BC: Chứng minh tứ giác BDEC là hình thang vuông.

Hình bình hành ABCD có góc A = 60 . lấy E thuộc AD và F thuộc CD sao cho DE = CF. gọi K là điểm đối xứng với F qua BC . chứng minh EK // AB

Phân tích đa thức thành nhân tử: (7+27x+9x^2+x^3 )

cho tam giác ABC cân tại A, đường cao AD. O là trung điểm AC. E đối xứng với B qua O

Tìm GTLN:

cho tứ giác abcd có e,f,g,h là trung điểm ab,ac,cd,ad. tìm điều kiện của tứ giác abcd để efgh là a,hinh chữ nhật b, hình thoi c, hình vuông

(3x-1)-2x(4x-3)=5

Toán 8 , tìm x

giải phương trình

Cho tam giác ABC cân tại A đường cao AH gọi M là trung điểm AC,E đối xứng với H qua M. Chứng minh AECH là hình chữ nhật.

Thực hiện phép tính: 5x(3x-2)

Cho Tam giác ABC cân tại A, gọi D, E, F lần lượt là t/đ của AB, AC, BC. Chứng minh tứ giác DECF là hình bình hành.

Tìm x biết: ((x-3)^2-(x-1)(x+1)=10)

Tìm x biết: ({x^{2;}} - 4 = 3{left( {x - 2} ight)^2})

Thực hiện phép tính: ((3x + 4{x^2} - 2)( - {x^2} + 1))

Tìm giá trị nhỏ nhất của biểu thức : (P = {x^4} + {x^2} - 6x + 9)

Cho ABC, trung tuyến AM. Gọi I là trung điểm của AC. Gọi K là điểm đối xứng với M qua I. Chứng minh: Tứ giác ABMK là hình bình hành.

Cho tam giác ABC vuông tại A, đường trung tuyến AM. Gọi O là trung điểm của AC, N là điểm đối xứng với M qua O. Chứng minh tứ giác AMCN là hình thoi.

Chứng minh toán hình

Tính GTNN của: (frac{{({x^2} + 2x + 3)}}{{({x^2} + 2x + 7)}})

Tìm x, biết rằng: ((x+2) ^2-(x-2)(x+2) = 0)

Giải phương trình: x³ – 2x²y + xy² – x

Cho hình thoi ABCD, O là giao điểm hai đường chéo. Vẽ đường thẳng qua B và song song với AC, vẽ đường thẳng qua C và song song với BD, hai đường thẳng đó cắt nhau tại K. Tứ giác OBKC là hình gì? Vì sao?

Phân tích đa thức thành nhân tử: ( - {x^2} + 4x - 4)

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