chứng minh ??

B

binhhiphop

[TẶNG BẠN] TRỌN BỘ Bí kíp học tốt 08 môn
Chắc suất Đại học top - Giữ chỗ ngay!!

ĐĂNG BÀI NGAY để cùng trao đổi với các thành viên siêu nhiệt tình & dễ thương trên diễn đàn.

1. Cho hai số a,b > 0; a
eq.latex
b. Chứng minh rằng:
eq.latex

Trong đó
eq.latex
eq.latex

:eek:3
2.Chứng minh rằng:
eq.latex
 
B

boyxuthanh

1. Cho hai số a,b > 0; a
eq.latex
b. Chứng minh rằng:
eq.latex

Trong đó
eq.latex
eq.latex

:eek:3
2.Chứng minh rằng:
eq.latex
mjnh` ko biết dùng công thức bạn cố dịch hộ mình nha
câu 1: thay A,B vao hbpt ta dc
căn ab < (a-b)^2/4[(căn a-căn b)^2]<(a+b)/2
<=> căn ab < (căn a+ căn b)^2/4 < (a+b)/2
<=> 4 căn ab < (căn a+ căn b)^2 < 2(a+b)
<=> {4 căn ab < (căn a+ căn b)^2 (1)
{(căn a+ căn b)^2 < 2(a+b) (2)
(1) <=> sử dụng bdt co si ta có
a+b > 2 can ab
<=> a+b+2căn ab> 4 can ab
=> (căn a+ căn b)^2 > 4 căn ab (3)
(2) <=> a+b+2 can ab< 2a+2b
<=> a+b > 2 căn ab (đúng) (4)
từ (3) và (4) => điều cần CM
câu 2 dể mình nháp đã
 
B

boyxuthanh

mjnh` lam tip câu 2 nè
trước tiên bình phương 2 vế
VT =A + căn B (1)
VP= {[A+ căn (A^2-B )]/2} + {[A-căn(A^2-B)]/2} + 2căn {{[A+ căn (A^2-B)]/2} *{[A-căn(A^2-B)]/2}
= (2A/2)+ can [A^2 - (A^2 - B)]
= A + căn B (2)
Từ (1) và (2) => VT = VP => dieu phải CM
 
B

binhhiphop

mình hiểu cách làm cùa bạn rồi, uhm, cũng hay, bạn nhớ học gõ latex để cho mọi người cùng xem nha
 
K

kien001

Long94_loveyou

Ai có đề thi giải toán bằng máy tính CASIO không !!! Hãy cho tôi nhé!!!! Cảm ơn nhiều!!!!!!!!!!!|-)
 
K

koisiujing

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mấy anh học giỏi thật chỉ cho em vài bí quyết đi!!!!!!!!!!!!!
 
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