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1
BÔ
̣
GIA
́
O DU
̣
C VA
̀
ĐA
̀
O TA
̣
O
TRƢỜNG ĐẠI HỌC BÁCH KHOA – ĐẠI HỌC ĐÀ NẴNG
TỔNG HỢP LÝ THUYẾT VÀ CÔNG THỨC
ÔN LUYỆN THI ĐẠI HỌC
VẬT LÝ
ÔN TẬP
1. Kiến thức toán cơ bản:
a. Đạo hàm của một số hàm cơ bản sử dụng trong Vật Lí:
Hàm số
Đạo hàm
y = sinx
y = cosx
- sinx
b. Các công thức lƣợng giác cơ bản:
2sin
2
a = 1 cos2a - cos = cos( + ) - sina = cos(a +
2
)
2cos
2
a = 1 + cos2a sina = cos(a -
2
)
sina + cosa =
)
4
sin(2
a
- cosa = cos(a +
a
cos
2cos kaa
d. Bất đẳng thức Cô-si:
baba .2
; (a, b
e. Định lý Viet:
yx
a
c
Pyx
a
b
Syx
,
.
1
;
0,636
2
; 0,159
2
1
; 1,41
373,1;2
Mọi công việc thành đạt đều nhờ sự kiên trì và lòng say mê.
TÀI LIỆU LTĐH MÔN VẬT LÝ – TỔNG HỢP LÝ THUYẾT VÀ CÔNG THỨC
HOÀNG THÁI VIỆT – ĐH BÁCH KHOA ĐÀ NẴNG - 01695316875
3
BẢNG CHỦ CÁI HILAP
Kí hiệu in hoa
Kí hiệu in thƣờng
Đọc
Kí số
A
êta
8
,
têta
9
I
iôta
10
K
kapa
20
lamda
30
M
xichma
200
T
tô
300
upxilon
400
phi
500
X
khi
600
kg
1u = 931,5MeV
1kg = 10
3
g
1eV = 1,6.10
-19
J
3
kg
1MeV = 1,6.10
-13
J
1ounce = 28,35g
1u = 1,66055.10
-27
kg
1pound = 453,6g
Chú ý: 1N/cm = 100N/m
Chiều dài
6
1cm = 10
-2
m
Vận tốc
1mm = 10
-3
1mile = 1609m
1MW = 10
6
W
2m
1GW = 10
9
W
Độ phóng xạ
1mH = 10
-3
H
1Ci = 3,7.10
10
Bq
1
H = 10
-6
H
Mức cƣờng độ âm
1
F = 10
-6
F
1B = 10dB
1mA = 10
-3
A
0
0
tt
vv
t
v
a
2
0
2
1
attvs
asvv 2
0
22
c. Rơi tự do:
2
2
1
. t
4. Các lực cơ học:
@ Định luật II NewTon:
amF
hl
a. Trọng lực:
gmP
Độ lớn:
mgP
b. Lực ma sát:
mgNF
c. Lực hƣớng tâm:
R
v
mmaF
t
21
mgzmgzA
@ Thế năng đàn hồi:
22
)(
2
1
2
1
lkkxW
t
c. Định luật bảo toàn động lƣợng:
constpp
21
@ Hệ hai vật va chạm:
'
22
'
112211
vmvmvmvm
Với k = 9.10
9
b. Cƣờng độ điện trƣờng:
2
r
Q
kE
c. Lực Lo-ren-xơ có:
sinvBqf
L
o
o
o
),( Bv
o T)
o
N =
e
q
(
e
= 1,6. 10
-19
C)
q
A
(
A = UIt
P =
U.I
t
A
TÀI LIỆU LTĐH MÔN VẬT LÝ – TỔNG HỢP LÝ THUYẾT VÀ CÔNG THỨC
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-Q = RI
2
t =
U.I.t .
n
n
n
r
i
b. Định luật phản xạ toàn phần:
1
2
21
n
n
ii
nn
gh
Ngày mai đang bắt đầu từ ngày hôm nay!
“Đường đi khó không phải vì ngăn sông cách núi
2
f
T
T
f
11
* T =
n
t
2. Dao động:
a. Thế nào là dao động cơ:
b. Dao động tuần hoàn:
hƣớng cũ.
c. Dao động điều hòa: là dao
3. Phƣơng trình dao động điều hòa (li độ): x = Acos(t + )
-A O A
+ A = x
max
+
- sina = cos(a +
2
) và sina = cos(a -
2
)
TÀI LIỆU LTĐH MÔN VẬT LÝ – TỔNG HỢP LÝ THUYẾT VÀ CÔNG THỨC
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4. Phƣơng trình vận tốc: v = - Asin(t + )
+
v
+ v luôn sớm pha
2
so với x
> < 0.
v
max
= A;
biên: x = ±A; v
min
= 0;
5. Phƣơng trình gia tốc: a = -
+ F
hpmax
= kA = m
A
2
+ F
hpmin
-A O A Ax
max
x = 0 x
max
= A
v = 0
Av
max
v = 0
a
max
=
2
2
2
2
av
A
+ Kéo v
A
x
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