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Braveheart7472
12-04-2010, 08:09 PM
Em xin lập ra cái topic này để các anh và chị, các bạn nữa cùng thảo luận về các bài toán hay.:congratz::congratz:
Là người đầu tiên, em xin mở đầu bằng 1 bài dễ sau: Trong các hình khối có cùng thể tích, hình nào có diện tích bề mặt lớn nhất.:idea::idea:

Braveheart7472
12-04-2010, 10:26 PM
Em xin bổ sung vài câu hỏi nữa,
- 0,1 và 0,10 là có hoàn toàn giống nhau ko?
- Vẽ hình sau bằng 5 nét
http://c.upanh.com/upload/5/25/CS0.9180470_1_1.bmp

vuminhhai
12-04-2010, 10:48 PM
Em xin lập ra cái topic này để các anh và chị, các bạn nữa cùng thảo luận về các bài toán hay.:congratz::congratz:
Là người đầu tiên, em xin mở đầu bằng 1 bài dễ sau: Trong các hình khối có cùng thể tích, hình nào có diện tích bề mặt lớn nhất.:idea::idea:
Em xin bổ sung vài câu hỏi nữa,
- 0,1 và 0,10 là có hoàn toàn giống nhau ko?
- Vẽ hình sau bằng 5 nét


Chắc hình cầu là hình có S bề mặt lớn nhất :cool:
Rõ ràng là 0,1 và 0,10 thì viết khác nhau rồi :D, nhưng mà giá trị của nó khi tính toán thì giống nhau.
Vẽ bằng 5 nét thì chẳng có vấn đề gì khó, có điều vẽ rồi chụp ra đây mất công quá ;) , khuya rồi, ngủ thôi :sleep:

Braveheart7472
13-04-2010, 12:09 PM
Chắc hình cầu là hình có S bề mặt lớn nhất :cool:
Rõ ràng là 0,1 và 0,10 thì viết khác nhau rồi :D, nhưng mà giá trị của nó khi tính toán thì giống nhau.
Vẽ bằng 5 nét thì chẳng có vấn đề gì khó, có điều vẽ rồi chụp ra đây mất công quá ;) , khuya rồi, ngủ thôi :sleep:
Há há :hahaha::hahaha:sai hết rùi ,có anh nào ăn đc mấy câu này ko, dễ mà:^_^::^_^:

hungd09vt3
13-04-2010, 12:43 PM
Em xin bổ sung vài câu hỏi nữa,
- 0,1 và 0,10 là có hoàn toàn giống nhau ko?
Hoàn toàn và tuyệt đối có gì giống nhau không bạn ;))
- Vẽ hình sau bằng 5 nét
http://c.upanh.com/upload/5/25/CS0.9180470_1_1.bmp

Làm sao để vẽ cho bạn xem đây!!! :proud:

letheanh
13-04-2010, 03:20 PM
Em xin lập ra cái topic này để các anh và chị, các bạn nữa cùng thảo luận về các bài toán hay.:congratz::congratz:
Là người đầu tiên, em xin mở đầu bằng 1 bài dễ sau: Trong các hình khối có cùng thể tích, hình nào có diện tích bề mặt lớn nhất.:idea::idea:

Hình nón ah!!
50 charrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr rrrrrrrrrrrrrrrrrrrrrrrrr

Braveheart7472
13-04-2010, 04:43 PM
Câu 1:anh letheanh trả lời sai rùi, em nghĩ câu này dễ mà đã 2 người trả lời sai
Câu 2: ko xét về mặt hình thức mà chỉ xét mặt ý nghĩa toán học.
Câu 3:bạn hãy vẽ hình ra, vẽ 5 hình, hình 1 vẽ nét thứ nhất, bắt đầu và kết thúc ở đâu, tiếp theo là hình 2 vẽ nét thứ 2, cứ như thế.
Tạm thời thì 3 câu :phew:vẫn còn là ẩn số:dazzle::dazzle:

atlantic_fly
14-04-2010, 06:00 PM
Anh rất thích cái top pic Toán Học muôn màu này mấy câu hỏi em bảo dễ nhưng đâu có dễ
câu 1 anh suy luận nó phải là 1 hình có cấu trúc đặc biệt,có thể là hình lập phương hay tứ diện đều ...nhưng việc chứng minh thì không dễ.còn câu 2 và câu 3 thì khó với người chưa biết còn dễ với người biết .Rất mong phong trào học toán trên diễn đàn sẽ ngày càng phát triển

kẻ xấu
14-04-2010, 06:53 PM
1. Chịu
2. 0.1 và 0.10 khác nhau chứ. Nhưng anh nhớ cái này anh học trong hóa học cơ. Cô Ngọc dạy hóa trường mình nói với anh. Nó ý nghĩa cho " độ chính xác " tới mấy con số.
3. Anh vẽ được. Sau gặp anh vẽ cho xem nhé :-*
-----------------------------------------

Anh rất thích cái top pic Toán Học muôn màu này mấy câu hỏi em bảo dễ nhưng đâu có dễ
câu 1 anh suy luận nó phải là 1 hình có cấu trúc đặc biệt,có thể là hình lập phương hay tứ diện đều ...nhưng việc chứng minh thì không dễ.còn câu 2 và câu 3 thì khó với người chưa biết còn dễ với người biết .Rất mong phong trào học toán trên diễn đàn sẽ ngày càng phát triển

Suy luận toán học à ? em nó hỏi thì cứ trả lời chứ =))

Braveheart7472
14-04-2010, 10:05 PM
@atlantic_fly: đúng là câu này ko phải của lớp 10 nên...:^o^:anh đang suy nghĩ đúng rùi đấy... cố lên:phew:
@kẻ xấu:câu 2 anh trả lời gần đúng, nhưng giải thích thêm...
câu 3:anh hãy vẽ theo hướng em nói ở bài trên đi

letheanh
14-04-2010, 10:09 PM
Câu 1 là hình có S bề mặt lớn nhất hay bé nhất thế (hỏi lại cho chắc)!!!!!! 50 charrrrrrrrrrrrrrrrrrrrrrrrrrrr

ܓܨOrion.p0n
14-04-2010, 10:17 PM
câu 2: Cái này anh nhớ là phần lớp sáu vật lí có học đến cái này, 0,1 có độ chính xác đến hàng phần mười của đơn vị, còn 0,10 thì độ chính xác đến hàng phần trăm :D
câu 3: câu này anh đã từng chơi trên lớp, còn chỉ hướng thì phải vẽ lại òi sẽ nói sau

Braveheart7472
15-04-2010, 12:24 PM
Câu 2: anh Orion trả lời tạm đúng, em xin giải thích đầy đủ:
Khi quy tròn để đc giá trị gần đúng thì 0,1 có thể là do 0,05 hoặc 0,14 quy tròn thành. Vì vậy số thập phân gân đúng 0,1 biểu thị một giá trị đúng nào đó nằm trong khoảng [0,05;0,15)
Tương tụ như vậy với số 0,10 ,số thập phân gân đúng 0,10 biểu thị một giá trị đúng nào đó nằm trong khoảng [0,095;0,105)
Qua câu trên ta có thể thấy số 0,10 chính xác hơn 0,1 nhiều.Điều này giải thích trong sổ điểm của giáo viên, các điểm tổng kết ghi là 8,0 chứ ko phải 8.:fullup::fullup:
@letheanh: câu 1 là tìm hình có diện tích bề mặt lớn nhất

ܓܨOrion.p0n
15-04-2010, 03:45 PM
câu 1 theo anh đoán là hình lập phương :D hok biết có đúng hok :knife:

Braveheart7472
15-04-2010, 04:01 PM
Đề nghị các anh đưa ra 1 câu trả lời thôi, chứ đoán mò thế này thì kiểu gì trả đúng:duno:

atlantic_fly
15-04-2010, 05:43 PM
:love::love::love::love:Câu trả lời cuối cùng cuả anh là tứ diện đều

Braveheart7472
15-04-2010, 07:33 PM
:love::love::love::love:Câu trả lời cuối cùng cuả anh là tứ diện đều
Bravo!bravo! Chính xác! Exactly! Đã có 2 câu xong, còn câu cuối anh nào xơi đc đây:heheh::heheh:

ܓܨOrion.p0n
15-04-2010, 09:02 PM
chú viết câu khác đi chứ câu 3 anh hok biết chỉ hướng làm sao cả

Braveheart7472
16-04-2010, 12:29 PM
1.Tim lỗi sai:
Gọi a và b là 2 số dương bằng nhau. Ta có:
a=b =>a2=ab =>a2-b2=ab-b2 =>(a+b)(a-b)=b(a-b) => a+b=b =>2b=b =>2=1
2. CM tích 4 số nguyên dương liên tiếp cộng thêm 1 là 1 số chính phương.
3. Có bao nhiêu khối đa diện đều?:comeon::comeon:
Câu này dễ, ai trả lời đầu tiên:hmm::hmm:

atlantic_fly
16-04-2010, 03:16 PM
câu 1:a-b=0 làm sao chia cả hai vế cho nó được
câu 3:5 khối

Braveheart7472
16-04-2010, 07:42 PM
câu 1:a-b=0 làm sao chia cả hai vế cho nó được
câu 3:5 khối
Câu 1:đúng.
Câu 2 :đặt bút 1 tí là ra mà:whaat:
Câu 3:anh hãy kể tên 5 khối đó

atlantic_fly
16-04-2010, 07:46 PM
:attack::attack::attack::attack::attack::attack:c c khối 4,6,8,12,20mặt:darling::darling:

Braveheart7472
16-04-2010, 08:48 PM
@atlantic_fly: anh trưởng thành quá rùi đấy:ign::ign:đggggggggggggggggggggggggggggggg g

atlantic_fly
18-04-2010, 09:44 AM
:shoot:em quá khen,anh có biết gì đâu lên wikipedia đọc mới biết đấy
đố em :khi nào 1-1=2:shoot::shoot:

thanhkhoeo
19-04-2010, 06:31 PM
ngày 1 tháng 3 trừ 1 ngày là tháng 2 => 1-1=2 đúng không anh

atlantic_fly
19-04-2010, 09:57 PM
em trả lời sai rồi ,đáp án của anh đơn giản lắm:love::love::love::love::love:

Braveheart7472
20-04-2010, 12:07 PM
Câu này khoai quá, anh đố mẹo ak?:uwaah::uwaah::uwaah:ggggggggggggggggg

thanhkhoeo
20-04-2010, 06:31 PM
bó tay rồi!nhục quá ! thua anh rồ!i nhục thật đấy@!?!hu hu hu hu hu hu!

atlantic_fly
21-04-2010, 07:04 PM
không sao,đáp án là khi tính sai:love::love::love::love::love:

yondaime
21-04-2010, 08:44 PM
không sao,đáp án là khi tính sai:love::love::love::love::love:

:stress::@_@: tại hạ xin bái phục
các hạ thiệt là prào :congratz::frozesweat:
a đố thía thì ai mà chẳng chết :aah:
mà có cái thèng nào tính sai câu nài thía a :@_@:

thanhkhoeo
23-04-2010, 01:28 PM
sang " hay hay hay" giải giùm bài hoá cái nào. nhanh lên nhé thành đang cần gấp

minh_hg
23-04-2010, 02:38 PM
không sao,đáp án là khi tính sai:love::love::love::love::love:

Nản mấy :can'tbe::can'tbe:
Đáp án thế này thì chịu rồi. Nhưng cũng nên có những câu kiểu này cho cái topic toán nó đỡ khô nhỉ :)

kenzie_a6
23-04-2010, 03:51 PM
Em xin bổ sung vài câu hỏi nữa,
- 0,1 và 0,10 là có hoàn toàn giống nhau ko?
- Vẽ hình sau bằng 5 nét
http://c.upanh.com/upload/5/25/CS0.9180470_1_1.bmp

Huy ơi mi nói đáp án câu này đi, có ai giải dc hok, post cái clip lên cũng dc

P/s : cho spam tý, hiện mình đang xin ý kiến lập 1 box dành cho hiphop, vậy nên ai có niềm đam mê với hiphop thì hãy vào đường link này
http://www.daoduytu.net/forum/showthread.php?t=11770


Các bạn vào 2pic này post bài ủng hộ cho mình hoặc bạn nào muốn góp ý về box mới thì cũng post tại 2pic trên luôn. Cảm ơn các bạn.

meoconhat1
24-04-2010, 04:27 PM
mấy câu này mọi người giải gần hết oy còn gì, còn lại mỗi mấy câu khoai, ai có câu nào khác post típ lên đi

Saimoon
24-04-2010, 05:03 PM
Đố ai tìm đc đủ 5 đáp án của cái câu này: Tìm số tiếp theo của dãy số sau: (dễ mà)
2 ;3 ;5 ...

Braveheart7472
24-04-2010, 05:26 PM
Mình đưa ra câu trả lời:
2,3,5,8,13,21... (mỗi số bằng tổng 2 số liền trước)
2,3,5,14,69....(mỗi số bằng tích 2 số liền trước trừ 1)
2,3,5,7,11,13....(các số nguyên tố)

Saimoon
24-04-2010, 07:09 PM
5 dap an nghhia la sao,5 so tiep theo cua day hay 5 cach?
em dang viet tren dt.thong cam nha

tất nhiên là 5 cách.
câu hỏi trên có tới 5 đáp án tương ứng 5 cách trả lời, thử tìm tất các đáp án xem :D

Nino
24-04-2010, 08:33 PM
Mình đưa ra câu trả lời:
2,3,5,8,13,21... (mỗi số bằng tổng 2 số liền trước)
2,3,5,14,69....(mỗi số bằng tích 2 số liền trước trừ 1)
2,3,5,7,11,13....(các số nguyên tố)

Em để ý xem, đề ra không chặt chẽ, cần gì phải đưa ra những dãy số quen thuộc này.
Mình đưa ra n cách luôn này.
Gọi số thứ nhất là x, thứ 2 là y, thứ 3 là z thì số thứ tư là f(x,y,z)
Có vô số hàm f(x,y,z) => có vô số cách ^^
VD nhé:
Số tiếp theo = tổng bình phương 3 số liền trước
Tương tự =tổng lập phương, mũ 4, mũ 5 .... :))
Không thì số tiếp theo z= x+2y+3z ; z=ax+by+cz
....

Braveheart7472
25-04-2010, 07:47 AM
Anh noni:chuckle: nói đúng đấy.Thôi coi như câu này finish mình đưa ra vài câu nữa:
1. Người cao 2m nặng hơn người có chiều cao 1m khoảng bao nhiu lần.
2. 1 người lớn và 1 em bé đứng trên tuyết, ăn mặc giống nhau.Hỏi ai lạnh hơn.
3. 2 cái nồi có cùng 1 hình dạng và thành có cùng bề dày, hỏi cái thứ 1 nặng hơn bao nhiu lần?

atlantic_fly
25-04-2010, 07:53 AM
1,còn tuỳ thuộc vào ông nào béo ông nào gầy nữa chứ
2,người lớn vì diện tích bề mặt trao đổi nhiệt lớn hơn
Braveheart7472 sao mấy hôm nay em không online

Saimoon
25-04-2010, 07:54 AM
Em để ý xem, đề ra không chặt chẽ, cần gì phải đưa ra những dãy số quen thuộc này.
Mình đưa ra n cách luôn này.
Gọi số thứ nhất là x, thứ 2 là y, thứ 3 là z thì số thứ tư là f(x,y,z)
Có vô số hàm f(x,y,z) => có vô số cách ^^
VD nhé:
Số tiếp theo = tổng bình phương 3 số liền trước
Tương tự =tổng lập phương, mũ 4, mũ 5 .... :))
Không thì số tiếp theo z= x+2y+3z ; z=ax+by+cz
....

cái con số 5 cách trả lời trên thực chất đưa ra để loè thôi ;))

Braveheart7472
25-04-2010, 07:59 AM
1,còn tuỳ thuộc vào ông nào béo ông nào gầy nữa chứ
2,người lớn vì diện tích bề mặt trao đổi nhiệt lớn hơn
Braveheart7472 sao mấy hôm nay em không online
câu 1 : coi như 2 ng có "kích thước tiêu chuẩn", tức là đồng dạng với nhau.
câu 2: sai rùi:whistle::whistle:
mấy hum nay mama ko cho lên mạng, bảo là sắp thi học kì.:refused::refused:

atlantic_fly
25-04-2010, 08:14 AM
1,nếu đồng dạng thì tỉ số thể tích là 8 nên nặng gấp 8 lần :love::love::love:
-----------------------------------------
còn câu 3 đề của em sao ấy không được rõ ràng cho lắm:love::love::love:

Braveheart7472
25-04-2010, 08:30 AM
Trời, câu hỏi của em chưa đc 1 tiếng đã bị anh xử lí.
câu 3 chỗ nào anh ko hỉu thì nói đi, đề chỉ có zậy

atlantic_fly
25-04-2010, 08:34 AM
cả 2 cái nồi anh chẳng thấy có gì khác nhau cả
câo 2:liên quan đến vật lí à

Braveheart7472
25-04-2010, 08:59 AM
Cái thứ nhất rộng gấp 8 cái thứ 2:chuckle:
Câu này thì....:^o^:có liên quan đến vật lý thật nhưng cứ để bên đây cũng đc

atlantic_fly
25-04-2010, 01:43 PM
câu 2: thân nhiệt của trẻ em cao hơn nên chênh lệch nhiệt độ cao hơn người lớn tí chút nên nhiệt lượng toả ra môi trường ngoài nhiều(vì nhiệt lượng toả ra tỉ lệ thuận với độ chênh lệch nhiệt độ)
thêm nữa trẻ em có khối lượng cơ thể nhỏ nên nhiệt dung nhỏ hơn người lớn nên cơ thể dễ bị lạnh

Braveheart7472
26-04-2010, 12:06 PM
câu 2: thân nhiệt của trẻ em cao hơn nên chênh lệch nhiệt độ cao hơn người lớn tí chút nên nhiệt lượng toả ra môi trường ngoài nhiều(vì nhiệt lượng toả ra tỉ lệ thuận với độ chênh lệch nhiệt độ)
thêm nữa trẻ em có khối lượng cơ thể nhỏ nên nhiệt dung nhỏ hơn người lớn nên cơ thể dễ bị lạnh
Câu trả lời của anh cũng chưa chính xác cho lắm, anh nên suy nghĩ kĩ hơn, còn 1 lí do .....:dazzle:

Saimoon
29-04-2010, 04:27 PM
Rút gọn: http://i283.photobucket.com/albums/kk306/Saimoon_Shin/Anh/toan.jpg

Braveheart7472
05-05-2010, 01:27 PM
Bài này rút gọn khá đơn giản, đáp số tan2a.
Hôm nay kết thúc 2 ngày thi đầu, mệt wa.:yawn: Lấy luôn cái đề vừa thi, có bạn nào biết cách giải câu Va thì post hộ cái, thực ra mình mới làm đc câu 1 của Va.:whistle:

atlantic_fly
05-05-2010, 08:45 PM
xin chào các em thi lí chưa:fullup::fullup::fullup::fullup::fullup:

Braveheart7472
06-05-2010, 07:31 AM
xin chào các em thi lí chưa:fullup::fullup::fullup::fullup::fullup:
Chưa đâu anh ui,còn 4 môn trắc nghiệm thứ 4,5 tuần sau, lý em ko lo lắm, chỉ ngại "sinh".
Làm thử 1 bài chơi
Giải pt: x3=(2x+1)/(x4+1)+1

meoconhat1
06-05-2010, 09:48 AM
á teo giải đc Va nè, nhưng mới làm đc 2 câu thôy, còn câu ở giữa thì chờ tý
Câu 1: thôi cái ny ko cần nhá
Câu 3:qua pt đường tròn tìm đc tâm I và bán kính R
=>> dễ tính đc độ dài IM
Vì điểm M là duy nhất thuộc đường thẳng d nên lập pt đường tròn tâm I bán kính IM, đường tròn này sẽ cắt (d) tại điểm duy nhất M, lập hệ, giải ra, tìm đc m. Hết
Từ từ oy teo làm cụ thể cho, nói tạm hướng như thế đã, mi cứ làm theo là đc, ok men
-----------------------------------------
Còn câu 2 nè: mi đặt tổng 2 căn là t =>>f(t)= chết rồi teo ko nhớ đề, mi post lại cái đề tau vs

Braveheart7472
06-05-2010, 02:18 PM
teo rùi hả, đề nè(đề lẻ nhá)
\sqrt{x-1} + \sqrt{3-x} - \sqrt{(x-1)(3-x)} = m

Tester_B1
06-05-2010, 02:26 PM
Ủa, câu này năm ngoái bọn anh thi mà, sao năm nay lại xuất hiện lại.
Đặt 1 cái là x-1= a
3-x=b
=> a+b=2
Nhớ tìm ĐKXĐ, bình phương là xong ;))

Braveheart7472
06-05-2010, 03:07 PM
Ủa, câu này năm ngoái bọn anh thi mà, sao năm nay lại xuất hiện lại.
Đặt 1 cái là x-1= a
3-x=b
=> a+b=2
Nhớ tìm ĐKXĐ, bình phương là xong ;))
Ko phải gpt, tìm đk m để pt có nghiệm:swing::swing:
Ko phải gpt, tìm đk m để pt có nghiệm:swing::swing:

letheanh
06-05-2010, 07:11 PM
teo rùi hả, đề nè(đề lẻ nhá)
\sqrt{x-1} + \sqrt{3-x} - \sqrt{(x-1)(3-x)} = m

Đặt 2 cái căn lần lượt là a và b --> a+ b-a.b=2 --> ab=a+b-2
Lại có a^2+b^2=2 --> (a+b)^2 -2ab=2
Thế ab từ cái trên vào cái dưới --> đc pt bậc 2 ẩn là (a+b) --> pt có nghiệm khi delta>=0

letheanh
06-05-2010, 10:16 PM
quên còn phải tìm tập giá trị của ẩn nữa đó.
50 charrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Nino
07-05-2010, 12:48 AM
Đặt tổng 2 cái căn =t, bình phương lên đánh giá ĐK của t(hoặc dùng bunhia) Đưa về pt bậc 2 theo t.
Đến đây do lớp 10 ko được dùng khảo sát nên tiếp tục đặt ẩn phụ mới u để rút về pt bậc 2 theo u để so sánh với 0 (do không được dùng định lí về dấu tam thức bậc 2)

thanhkhoeo
07-05-2010, 08:42 AM
Đặt tổng 2 cái căn =t, bình phương lên đánh giá ĐK của t(hoặc dùng bunhia) Đưa về pt bậc 2 theo t.
Đến đây do lớp 10 ko được dùng khảo sát nên tiếp tục đặt ẩn phụ mới u để rút về pt bậc 2 theo u để so sánh với 0 (do không được dùng định lí về dấu tam thức bậc 2)

sao lai không đc dùng anh bọn em học rồi mà ( em cũng lam đc bài này)

làm hộ bài này nhé chứng minh
sin(a+b)sin(a-b)= sin^2a-sin^2b

Braveheart7472
07-05-2010, 10:42 AM
Bài này dễ mà, dùng công thức cộng rùi hdt là đc mà...........

thanhkhoeo
07-05-2010, 10:48 AM
ù cảm ơn huy nhé thành chịu mấy bàii lượng giắc này thôi bó tay

Braveheart7472
08-05-2010, 07:37 PM
á teo giải đc Va nè, nhưng mới làm đc 2 câu thôy, còn câu ở giữa thì chờ tý
Câu 1: thôi cái ny ko cần nhá
Câu 3:qua pt đường tròn tìm đc tâm I và bán kính R
=>> dễ tính đc độ dài IM
Vì điểm M là duy nhất thuộc đường thẳng d nên lập pt đường tròn tâm I bán kính IM, đường tròn này sẽ cắt (d) tại điểm duy nhất M, lập hệ, giải ra, tìm đc m. Hết
Từ từ oy teo làm cụ thể cho, nói tạm hướng như thế đã, mi cứ làm theo là đc, ok men
-----------------------------------------
Còn câu 2 nè: mi đặt tổng 2 căn là t =>>f(t)= chết rồi teo ko nhớ đề, mi post lại cái đề tau vs
cảm ơn Hà, cảm ơ các anh, mình đã làm đc rùi, còn cái câu gpt của mình ai làm chưa, xong nhanh mình post tiếp:idea::idea:

gakon
09-05-2010, 10:01 AM
teo rùi hả, đề nè(đề lẻ nhá)
\sqrt{x-1} + \sqrt{3-x} - \sqrt{(x-1)(3-x)} = m

oái cái bài ni năm ngoái cũng thi mờ
đặt căn của tổng rồi suy ra căn của tích thoy

meoconhat1
09-05-2010, 10:33 AM
Đặt 2 cái căn lần lượt là a và b --> a+ b-a.b=2 --> ab=a+b-2
Lại có a^2+b^2=2 --> (a+b)^2 -2ab=2
Thế ab từ cái trên vào cái dưới --> đc pt bậc 2 ẩn là (a+b) --> pt có nghiệm khi delta>=0

làm theo cách này hình như cũng đc nè, nhưng mà phải là a+b-ab=m => ab=a+b-m
thay vào ta đc: (a+b)^2 - 2(a+b-m)=2
=> (a+b)^2 - 2(a+b) +2m-2 =0 (1)
Cho delta > 0 vs ẩn (a+b) tìm đc m. Hết
À quên, khi đặt a,b bằng căn thì ta có đk là a,b>0 (cái ny đúng ko nhờ?) :hmm::hmm:
-----------------------------------------
á chết rồi, hình như là tìm m để a+b-ab=m có nghiệm cơ mà, chứ có phải tìm m để cái biểu thức (1) có nghiệm đâu????
-----------------------------------------
Đặt t=tổng 2 căn(đk t >0) thì biểu thức đề cho trở thành
=> t - (t^2 - t)/2 = m , biến đổi ra ta đc
=> t^2 - t - 2m = 0, đến đây lập bảng biến thiên rồi xét gì gì đó, em ko nhớ, hix, phải giở vở xem lại đã :(

Braveheart7472
16-05-2010, 07:56 AM
mình có 1 bài toán chưa làm đc ,nhờ mọi người
\left{\begin{xy(x+y)=12}\\{yz(y+z)=6}\\{xz(x+z)=30 }

quyetnb
16-05-2010, 03:03 PM
cộng 1 vói 2

2ơíi 3

3 vơí 1 sẽ ra

sao hôm nay gà thế huy

Braveheart7472
17-05-2010, 06:15 AM
Bạn nào thế nhở, có thể nói chi tiết hơn 1 chút ko, sao minh làm mãi ko đc:loser::loser:

Saimoon
23-05-2010, 09:40 AM
mình có 1 bài toán chưa làm đc ,nhờ mọi người
\left{\begin{xy(x+y)=12}\\{yz(y+z)=6}\\{xz(x+z)=30 }

bài này đọc quen quen :-/
hình như là đề thi chuyên ĐHQG năm nào đó, mình hok nhớ nhỉ? :(
x=3 ; y=1 ; z=2 đúng hok nhỉ?

Mr.BEO
23-05-2010, 10:22 AM
mình có 1 bài toán chưa làm đc ,nhờ mọi người
\left{\begin{xy(x+y)=12}\\{yz(y+z)=6}\\{xz(x+z)=30 }

y2(x+z) + y(x2+z2) - 18 = 0
z2(x+y) + z(x2+y2) - 36 = 0
x2(y+z) + x(y2+z2) - 42 = 0
chả được gì

thanhkhoeo
23-05-2010, 10:56 AM
phải trừ cơ cộng không ra đâu mà đòi con ch.. ạ đừng có tinh vi nhung ạ đừng tuởng học lương mà giỏi

Braveheart7472
26-05-2010, 05:06 PM
@thanhkhoeo:nói nhảm cái gì thế, định chửi nhau ở đây ak
@saimoon:đáp số ko phải là vấn đề, vấn đề là cách giải bạn ạ
@Mr.BEO::aah::aah:
mấy anh lớp 11,12 làm hộ em cái nào:notme::notme:

thanhkhoeo
26-05-2010, 05:14 PM
@thanhkhoeo:nói nhảm cái gì thế, định chửi nhau ở đây ak
@saimoon:đáp số ko phải là vấn đề, vấn đề là cách giải bạn ạ
@Mr.BEO::aah::aah:
mấy anh lớp 11,12 làm hộ em cái nào:notme::notme:

không phải chửi nhau mà con pạn tớ nó kiêu quá nên tớ nói thôi hắn học chuyên lương văn tuỵ ninh bình nên kiêu lắm thíck nó không tớ giới thiệu( xinh phết)

Braveheart7472
28-06-2010, 03:32 PM
chán ơi là chán,cái 2pic của mình, mình ít onl thì cũng chìm luôn...c:cry:

mình có 1 bài toán chưa làm đc ,nhờ mọi người
\left{\begin{xy(x+y)=12}\\{yz(y+z)=6}\\{xz(x+z)=30 }
bài này coi như mình nhờ,ai làm đc trả công 500dz

bài tiếp theo nhé
giải phương trình: \frac{1}{5x^2}+ \frac{1}{x^2-9x+36} = \frac{1}{x^2-4x+16}
lets go!Y:DY

atlantic_fly
01-07-2010, 08:54 PM
bài này có lẽ chuyển vế rồi quy đồng ,nhân chéo lên ra pt bậc 4 ,rồi chia cho x^2 ,đặt ẩn phụ

letheanh
02-07-2010, 08:02 PM
chán ơi là chán,cái 2pic của mình, mình ít onl thì cũng chìm luôn...c:cry:

bài này coi như mình nhờ,ai làm đc trả công 500dz

bài tiếp theo nhé
giải phương trình: \frac{1}{5x^2}+ \frac{1}{x^2-9x+36} = \frac{1}{x^2-4x+16}
lets go!Y:DY

Đặt x^2-9x+36=a
x^2 - 4x+16=b
=> 9b-4a=5x^2
Thế hết vào rồi chuyển vế quy đồng nhân chéo (nói thì dài làm thì ngắn thôi) đc pt đẳng cấp bậc 2, chia 2 vế cho a^2 hoặc b^2 là xong.

xoxodetoan
18-09-2010, 09:25 PM
Trong bài toán hình lớp 11 ở Soắn 3 : Phép đối xứng trục
Có câu 4.Áp dụng
Có điều rất thú vị.
Ta thấy nếu như thay vào nhúng người vào nước. Mà bằng sách xô nước thì cách thông minh nhất không phải là làm thế nào cho quảng đường AM+MB là ngắn nhất. Mà là chạy thẳng đến vị trị vuông góc giữa điểm B với dòng sông thì chắn chắn đến đích sẽ nhanh hơn!
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meoconhat1
19-09-2010, 07:31 PM
Trong bài toán hình lớp 11 ở Soắn 3 : Phép đối xứng trục
Có câu 4.Áp dụng
Có điều rất thú vị.
Ta thấy nếu như thay vào nhúng người vào nước. Mà bằng sách xô nước thì cách thông minh nhất không phải là làm thế nào cho quảng đường AM+MB là ngắn nhất. Mà là chạy thẳng đến vị trị vuông góc giữa điểm B với dòng sông thì chắn chắn đến đích sẽ nhanh hơn!
Các bạn thử giở sách ra mà xem! c:big_smile:c:big_smile:

ku này có vẻ thik biến hình nhể c:look_down:

xoxodetoan
19-09-2010, 07:42 PM
ku này có vẻ thik biến hình nhể c:look_down:

Ở lớp 11 học được khoảng 6 phép biến hình!
không biết bao giờ mới học được 72 phép như Tôn Ngộ Không nhỉ! 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ܓܨOrion.p0n
19-09-2010, 08:19 PM
toán nay cũng chán nhà !! chẳng có chi chơi... thôi để khi nào rảnh tớ post cho mấy bài làm cho đỡ buồn nhá :)
giải phương trình :
x^4 - 5x^2 - 2x + 3 = 0

Braveheart7472
19-09-2010, 09:36 PM
toán nay cũng chán nhà !! chẳng có chi chơi... thôi để khi nào rảnh tớ post cho mấy bài làm cho đỡ buồn nhá :)
giải phương trình :
x^4 - 5x^2 - 2x + 3 = 0
Bấm máy tính ra ngay: x=0,618033988c:look_down:

letheanh
19-09-2010, 09:54 PM
toán nay cũng chán nhà !! chẳng có chi chơi... thôi để khi nào rảnh tớ post cho mấy bài làm cho đỡ buồn nhá :)
giải phương trình :
x^4 - 5x^2 - 2x + 3 = 0

pt đã cho <=> (x^2-2)^2=(x+1)^2
50 charrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr rrrrrrrrrrrrrrrrrrrrrrr

ܓܨOrion.p0n
19-09-2010, 10:02 PM
oh yeah!!! giải nhanh gọn nhưng chưa có đáp án nhờ :)
bài tiếp đây
giải hệ phương trình sau
X^2 + Y^2 - 2XY = 4
X + Y = 6

lovelyday
19-09-2010, 10:47 PM
X=2 => y =4
X=4 => y =2
c:embarrassed:

ܓܨOrion.p0n
19-09-2010, 10:53 PM
oh!! good!! tốt lắm
khoai hơn nè
làm nốt òi mai cho làm tiếp :)
giải hệ phương trình
(X + Y)( Y+Z) = 187
(Y+Z)(X+Z) = 154
(X+Z)(X+Y) = 238
oke!!!

lovelyday
19-09-2010, 11:22 PM
x= 10
y= 7
z =4
Cách làm ,nhân 3 vế lại ,rồi căn ,rồi chia ,rồi tính ................c:beat_brick:

c:smile:

ܓܨOrion.p0n
20-09-2010, 11:54 AM
tốt lắm... các bài tập sẽ được nâng lên theo mức độ khó dần...
cố lên nha :)
Giải hệ phương trình
X^4 + 19 = XYZT
Y^4 + 5 = XYZT
Z^4 -23 = XYZT
T^4 - 1 = XYZT

thanhkhoeo
30-09-2010, 06:15 PM
Ai đó làm hộ tớ đc không
sinx + sin2x + sin3x = (3 căn 3) chia 2
Giải theo 3 cách ai làm được thì 1000dz nhé

Braveheart7472
20-11-2010, 08:32 PM
Mình có 1 bài toán hay muốn đố các bạn: Háy chứng minh bất đẳng thức Cô si bằng phương pháp hình học.

van_anh_hoa
21-11-2010, 08:27 AM
Trong tam giác vuông có các cạnh góc vuông độ dài a và b
ta có S=ab/2
Cạnh huyền là c
c^2=a^2+b^2
Hạ đường cao xuống cạnh huyền (độ dài d) và kẻ đường trung tuyến ứng với cạnh huyền (độ dài e)
ta có: d bé hơn hoặc bằng e
.........>d*c/2 bé hơn hoặc bằng e*c/2
...........>S bé hơn hoặc bằng e*c/2
..........> S bé hơn hoặc bằng c^2/4
nên ( a^2+b^2)/4 >= ab/2
.......>(a+b)^2 >= 4ab
.......>(a+b)/2>=căn ab

Braveheart7472
21-11-2010, 08:32 AM
Có ý đúng đấy nhưng bạn có thể up thêm cái hình lên cho dễ nhìn ko?c:smile:

atlantic_fly
23-01-2011, 05:32 PM
Bài 1: cứ pitago là ra thôi !
Bài 2:chỉ có thể là tam giác và tứ giác
Bài 3 chịu ,mình quên hết phần này rồi
@ Huy :theo anh em nên tìm các dạng bài thông dụng và có trong thi đại học như các bài phương trình ,bất phương trình hay ,các bài lượng giác ,phương pháp toạ độ trong mặt phẳng ,các bài bbaats đẳng thức ........
-----------------------------------------

SẶc mấy bài này khó quá ! c:adore:
Làm ơn giải giùm bài này :
Tìm số nhỏ nhất có 3 chữ số biết rằng số này mod 2 =1 mod 3=2 mod 4 =3 mod 5=4 mod 6=5.
Ai giải nhanh nhất tặng 444 dzbank. c:big_smile:
toán học đề bài chỉ dành cho pot đề ,bạn có gì cần nói thì vào đây !

thanhkhoeo
23-01-2011, 06:25 PM
bài của voimonster x+1 mod 2;3;4;5;6 =0

=>x=299

voimonster
23-01-2011, 06:28 PM
Kinh quá ! tìm ra cả đáp án rồi . Nhưng mà không đúng ! Với lại toán học không chỉ là kết quả mà cả cách làm cơ.c:big_smile:].:http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/sc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thanhkhoeo
23-01-2011, 06:39 PM
cach làm đấy thôi tìm bội chung nhỏ nhất có 3 chữ số của 2,3,4,5,6 sau đó -1 là song
-----------------------------------------
thôi chết

119 nhầm

voimonster
24-01-2011, 03:57 PM
cach làm đấy thôi tìm bội chung nhỏ nhất có 3 chữ số của 2,3,4,5,6 sau đó -1 là song
-----------------------------------------
thôi chết

119 nhầm

Chà chà ! Thông mình phết ! Nhưng mà như vậy thì khá mất thời gian. Có cách nào giải trong vòng 10s không ?
(Tặng 444dzbank rồi đó ) ! c:big_smile:].:http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scared%20of%20santa/http://photobucket.com/images/scare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thanhkhoeo
24-01-2011, 04:58 PM
3*4*5-1 xong đúng chứ anh

voimonster
24-01-2011, 10:26 PM
3*4*5-1 xong đúng chứ anh

Sặc. Thôi để anh giải thích nè :
Số mà chia hết cho 6 thì chia hết cho 2 và 3. Vì thế số chia hết cho 6 dư 5 chắc chắn chia hết cho 3 dư 2 và chia hết cho 2 dư 1.
Số mà chia hết cho 2 dư 1 là số lẻ.
Số mà chia hết cho 5 dư 4 có đuôi tận cùng là 9.
Số chi hết cho 4 dư 3 thì hai chữ số hàng đơn vị và hàng chục chia hết cho 4 dư 3.
Số mà có chữ số đơn vị là 9 chia hết cho 3 thì phải có tổng bằng 11. (1)
Số hàng trăm 3 chữ số nhỏ nhất thường là số 1..
Thay 1 và 9 vào đầu và cuối. Suy ra số ở giữa là 1.
Vì 1+9 = 10 thiếu 1 đơn vị cho (1).
Vậy số cần tìm 119. 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thanhkhoeo
25-01-2011, 04:35 AM
rắc rối quấ timf bội chung nhỏ nhất sau đó -1 là hay nhất

lotus.2912
18-03-2011, 11:41 PM
mọi ng có rảnh rỗi giúp em bài lượng giác này vs ạ 2sin3x(1-4sin^2x)=1