Giáo án 9 hay
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Phạm Quang Đạt
Chương 1:
HỆ THỨC LƯNG TRONG TAM GIÁC VUÔNG
Tiết 1: §1. MỘT SỐ HỆ THỨC VỀ CẠNH VÀ ĐƯỜNG CAO
TRONG TAM GIÁC VUÔNG
I. Mục tiêu:
!
"
#$!%&
"
#$ %&
"
#!%$ %
'() *+!$,,,$-(.)*$
II. Phương tiện dạy học :
/0(0!+1().".2 sgk
III. Quá trình hoạt động trên lớp
1.Ổn đònh lớp.
2.Kiểm tra bài cũ: . 3 (*4')."5
3.Bài mới:
6()60 )(74 ) (!0 $)6*
)(74$818 4 )*
($
HOẠT ĐỘNG 1: Hệ thức liên hệ giữa cạnh góc vuông và hình chiếu của nó trên cạnh
huyền
."(
!
"
#
!
"
a
b
#
b
b'
696
5":!
"
"
;!
"
"
#
"
<
8*=7>7
?@(*=7*+ (+
*=7>7
) 8
AB
696
A"C
?) 88(7
)
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# %
!
"
#!%
"
# %
!
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!
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(. ( (+
)(74
=7B;/EF<
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!
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G
6
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H=7>7*+A(6
*'! )+1
6
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6
"
#
"
. *
()6$
HOẠT ĐỘNG 2I8 J(* $
?A..2;/EK<
17 696
?) 8L)
*L$
"DI8 J(
* $
2
Phạm Quang Đạt
;6()&
()<
)7L
6M6M#BN
6M6M#BN
69
@(*=7"
?) 8.7(
6M#6M
HA
HB
CH
AH
=
;7
"
#!% %
) 8O )*=7"
$=7";/EK<
HOẠT ĐỘNG 3B0"0/$
HOẠT ĐỘNG 4:'P4) ( *=7B0"$!E0F0
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
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Tiết 2: §1. MỘT SỐ HỆ THỨC VỀ CẠNH VÀ ĐƯỜNG CAO
TRONG TAM GIÁC VUÔNG (tiếp theo)
I. Mục tiêu:
$#!$ &
222
111
bah
+=
'() *+!$,,,$-(.)*$
II. Phương tiện dạy học :
/0(0!+1().".2 sgk
III. Quá trình hoạt động trên lớp
1.Ổn đònh lớp.
2.Kiểm tra bài cũ:
3.Bài mới:
6()60 )(74 ) (!0 $)6*
)(74$818 4 )*
($
Hoạt động 1: Một số hệ thức liên quan đến đường cao
?Q6;6M#BN<
6;M#BN<
$#! ;2<
@(*=72
)7 R
;2<!S
:': $
?) 8(7('P
*" (7
*4');M (<
$) 88(7
6$$$6#$6$$;2<
$) 8O )*=7
2
!
!G
G
6
T
"
#!% %
Phạm Quang Đạt
?3.
'P) 8!.
";2<&8+'()
*=7>7
222
111
cbh
+=
⇑
22
22
2
1
cb
cb
h
−
=
⇑
22
22
2
cb
bcb
h
−
=
⇑
2
22
2
a
cb
h
=
⇑
"
"
#!
"
"
⇑
$#!$
$) 8O )*=7
T$
!$=72;/EK<
$=7T;/EK<
HOẠT ĐỘNG 320T/$
HOẠT ĐỘNG 4:'P4) ( *=7B0"020T$!K0U0V$
IV. Rút kinh nghiệm:
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TIẾT 3 LUYỆN TẬP
I. Mục tiêu:
N'() 4 )* (*+!$
II. Phương tiện dạy học
/0(
, II. Quá trình hoạt động trên lớp .
B .Ổn đònh lớp:
2.Kiểm tra bài cũ: > !( *=7B00"02$W!E0F/
3.Luyện tập:
∆ 6()6&
6#2&6#T0R+6
⊥
;
∈
<
"
B
X
Y
I) 81.L
*=+R($
I:*
6
I:0
- I:X
EZ/
6
6'()*=7>7
"
#6
"
6
"
E
#!
222
111
cbh
−=
222
111
cbh
+=
Phạm Quang Đạt
'
6
6
⇓
5;∆6()<
⇓
5;∆()<
- N'()
):YX0Y$
- '()*=
7>7*:'
- L
:5
:65
I.6
I.
;=7>7<
I.
"$
$AB:
D[/
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#5
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#5
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D,[
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J(5
Z.*=7'()
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.
=
⇒
4,2
5
4.3
==
AH
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YX
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3
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6
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222
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2
3
4
3
2
2
2
2
aaa
a
==
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6
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⇒6#6#6
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⇒
6232
2
=−=
BC
4/ Hướng dẫn về nhà:
Z\M) *=70!'() $
ZQ !8) (+ )$
IV. Rút kinh nghiệm:
F
Phạm Quang Đạt
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
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TIẾT 4 LUYỆN TẬP
I. Mục tiêu:
N'() 4 )* (*+!$
II. Phương tiện dạy học
/0(
, II. Quá trình hoạt động trên lớp .
B .Ổn đònh lớp:
2.Kiểm tra bài cũ: > !( *=7B0"020T
3.Luyện tập:
'P (
Z) ) 8*0L
!. (+$
Z:!.*'
" ) )$
!
L
6
\
\
L
!
X
H
Y
,
Z(!=.BB0B"0B2/$
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$AB:
D[/
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#5
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#5
$A":
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4
1
3
1
+
=
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? B
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*((76\#
2
1
⇒∆6()6$
H*6
"
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#
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*((7H\#
2
1
YX
⇒∆HYX()H$H*
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2
V
L
T
6
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K
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L
7
7
6
Phạm Quang Đạt
!DL#";∆6( )
6<
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2
DB"
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16
12
2
#V
7#B"
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L
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⇒7#
22
912
+
#BE
4/ Hướng dẫn về nhà:
Z\M) *=70!'() $
ZQ !8) (+ )$
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
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TIẾT 5: TỈ SỐ LƯNG GIÁC CỦA GÓC NHỌN
I. Mục tiêu:
ZAO1*=^ C8) (+ )$
Z') R C8) (+$
II. Phương tiện dạy học :
/0(0!+()$
III. Quá trình hoạt động trên lớp . :
1.Ổn đònh lớp
2.Kiểm tra bài cũ:
3.Bài mới: (0(! ). :*) (+
7R5
HOẠT ĐỘNG 1: RC8) (+ )$
ZR(
1. Khái niệm
U
L
7
B"
BF
6
Phaùm Quang ẹaùt
G
G
6G
6
Q66%%%
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Z_( 4( C
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C81 )
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AB
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BC
AC
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AB
;;;
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TE
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ZZ`:65
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AB
AC
AC
AB
BC
AC
BC
AB
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6
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(+
$
$'(*=
^
696%%%
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CB
BA
BC
AB
=
''
''
CB
CA
BC
AC
=
''
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BA
CA
AB
AC
=
*L
6( )6
6#6#
6'()*=7>7
#
2
2
2
2
1
2
====
a
a
BC
AB
BC
AC
1
===
a
a
AB
AC
AC
AB
?L
6! + (+
*4(%$
#%#"6#"
$6#
3
;=7
>7<
2
1
2
==
a
a
AC
AB
&
2
3
2
3
==
a
a
BC
AC
&
$
3
3
3
1
3
===
a
a
AC
AB
&
3
3
==
a
a
AB
AC
?8L *= )R40*
(+ $
6
;6M#BN<
8#
BC
AC
C
BC
AB
=
cos;
&
#
AB
AC
C
AC
AB
=
cot;
&
TE
"
6
D3*4
I)6()60
M#
( C8
AC
AB
AB
AC
BC
AC
BC
AB
;;;
R
*0R()(
0 (
()( * (+
$
6
!D=^C8)
(+ )
;/<
sin
=
ủoỏi
huyen
cos
=
keõ
huyen
tg
=
ủoõi
keõ
cotg
=
keõ
ủoỏi
N:'()B
8TE
]
#
2
2
sin
==
BC
AC
B
2
2
cos45cos
0
===
BC
AB
B
1
45
0
===
AB
AC
Btgtg
1
cot45cot
0
===
AC
AB
Bgg
N:'()"
2
3
sin60sin
0
===
BC
AC
B
V
5B
Phạm Quang Đạt
?)
α
$#TE
]
?)!
α
#F]
]
-(8."] (+/
FT$
ZH) (L\7$
Z\77\I#B
ZN1;I&"< O\L)A
⇒\AMI#
β
∆\IA()\
\I#B&IA#";
')<
⇒8AM#
β
sin
2
1
==
MN
OM
?(7;/FT<
2
"
F]
°
6
3
3
ˆ
cot60cot
3
ˆ
60
2
1
ˆ
cos60cos
0
0
0
===
===
===
AC
AB
Bgg
AB
AC
Btgtg
BC
AB
B
DH) )α0!α
#
3
2
ZH)
yOx
ˆ
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- \L&7\6
#";*=<
- Z\707
\#2;*=<$
⇒*)
α
=
ABO
ˆ
$
;.α#
B
ˆ
#
3
2
=
OB
OA
α
7
L
6\
\6a\bA"'P4
- ) !R^*=^0*=70!+) (+ *3 !$
- W!BK0BU0BV0"]$
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
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TIẾT 6: TỈ SỐ LƯNG GIÁC CỦA GÓC NHỌN (tiếp theo)
I. Mục tiêu:
ZAO1*=^ C8) (+ )$
ZAO1 1 C8) (+ ()(
Z') R C8) (+$
Z:*) C8) (+! *3 !2]
]
&TE
]
&F]
]
$
II. Phương tiện dạy học :
/0(0!+()$
III. Quá trình hoạt động trên lớp . :
1.Ổn đònh lớp
2.Kiểm tra bài cũ:
3.Bài mới: (7+8) (+ ()(
HOẠT ĐỘNG 1:. C8) (+ ()(
B]
5"
52
Phạm Quang Đạt
β
α
6
ZW C8)
( α β$
:'()B L.
48TE
]
8TE
]
;
) TE
]
TE
]
<
:'(")*1 =C
8) (+
F]
]
⇒82]
]
#5 82]
]
#5
2]
]
#5 2]
]
#5
N:'()K;J(8.
""/FE<
- : )7$
- Z)7R4 (+
2]
]$
$ α$ β
8α#5 8β#5
8α#58β#5
α#5 β#5
α#5β#5
.8TE
]
8TE
]
TE
]
TE
]
AL 2]
]
F]
]
82]
]
#
17
y
⇒7#BK$ 82]
]
7#BK
7,14
2
3
=
B$C8) (+
()(
;=7/<
N:'()E
8TE
]
# 8TE
]
#
2
2
TE
]
# TE
]
#B
N:'()F
82]
]
# 8F]
]
#
2
1
82]
]
#8F]
]
#
2
3
2]
]
# F]
]
#
3
3
2]
]
#F]
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#
3
?Q!+C8)
(+ *3 !;L!+
FE<
\6a\bA"'P4
- ) !R^*=^0*=70!+) (+ *3 !$
- W!BK0BU0BV0"]$
IV. Rút kinh nghiệm:
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TIẾT 7: LUYỆN TẬP
I. Mục tiêu:
- N'()*) *=^0*=7 C8) (+ )!0
- ') R! C8) (+ *$
II. Phương tiện dạy học :
/0 0R0 $
III. Quá trình hoạt động trên lớp . :
1.Ổn đònh lớp
2.Kiểm tra bài cũ:
- >!(*=^ C8) (+ ($
- >!(*=74 C8) (+ ()($
- W!BK0BV&"]$
3. Luyện tập:
BB
8α# 8β& 8α#8β
tgα=cotgβ;cotgα=tg
β
Phaïm Quang Ñaït
∆\>-()\
>M#2T
]
$
∆6;M#B<
6#]0V &#
B0"
: ^8)
(+6M0M$
(7 +
TE
]
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( *1
()(<
? "];!0
0'<)$
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)R48 α$
-
>
\
2T
°
V
B"
6
*'60
(*=
;'<
Z:6$
⇒C8)
(+ 603
$
6'()C8)
(+ ()
($
8( ')0
) 0
BKsgk
Sin 34
0
= Sin P =
OQ
PQ
Cos 34
0
= Cos P =
OP
PQ
tg 34
0
= tg P =
OQ
OP
cotg 34
0
=cotgP=
OP
OQ
BUsgk
AB =
AC
2
+
BC
2
=
9
2
+
12
2
=15
Sin B =
AC
BC
=
9
15
=
3
5
Cos B =
BC
AB
=
12
15
=
3
5
Tg B =
AC
BC
=
9
12
=
3
4
Cotg B =
BC
AC
=
12
9
=
4
3
N.6MM#V]
]
SinA = Cos B =
4
5
Cos A = Sin B =
3
5
Tg A = Cotg B =
4
3
Cotg A = Tg B =
3
4
BV skg
F]
°
#82]
°
8KE
°
#BE
°
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°
2]G#82K
°
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α
#
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2
)*'B*=$
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N1 ( I&
B"
Phaïm Quang Ñaït
8 )(74
) ($
WC8$
8 ^8*
α& α
*=^$
'P4)
:;H)*=
^ (+8α& 8α
*=:><$
8
"
α 8
"
α#B
7
L
2
"
A
I
\
<
()*0
)R4 (+ α
*4( )
(⇒ )
(+ )
(74$
!<
sin
α
cos
α
=...
cos
α
sin
α
=...
tag
α
= ...
cotag
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⇒ 8α
⇒α
.)
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<8
α
#]0F&
α
#
T
2
4. Hướng dẫn về nhà :
Q) !*1$
(!=!+) 0I7:!+(;( <$
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
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Tiết 8 BẢNG LƯNG GIÁC .
I. Mục tiêu:
AO*) ()0J(7(0R^d!+) $
II. Phương tiện dạy học
+)
III. Quá trình hoạt động trên lớp .
1.Ổn đònh lớp
2.Kiểm tra bài cũ:
\)*=^ C8) (+ )0J(1 C87*
()($
3.Bài mới:
HOẠT ĐỘNG 1:() (+!+) $
+)
E"Z`EU (+ (!+8$
+ BF 0
*2 ((
:$
BB1 (+'*4(
8(!8 (+F$
B()!+)
<+8
+ BF 0
*2 ((
:$
BT
U
F]
°
-
>
\
Phạm Quang Đạt
L.4*'
)(74*'
) (
BB28
(7*;B8
d'4]
]
Z`
V]
]
&B2
8+'4V]
]
Z`
]
]
$<
Với 0
0
< α < 90
0
thì:
Sin α và tgα tăng .
Cosα và cotgα giảm
BB1 (+'*4(
8(!8 (+F$
BB28
(7*;B8
d'4]
]
Z`
V]
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&B2
8+'4V]
]
Z`
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$<
$BB1 =
(+8α& 8α .
b)+ ;+,Q<
())!+Q$
<+ (+ 4V]
]
(+ +;!+Q<
R 4( :$
* Nhận xét :
Với 0
0
< α < 90
0
thì:
Sin α và tgα tăng .
Cosα và cotgα giảm$
HOẠT ĐỘNG 2: '(!+)
• 'P8.
8α
'P8'(!+
N,,,&8*++ 8B
$
8(+'8B$
W7=) (+
'* ($
• 'P8.
8α
??(7
)8(
R+! (+F
;L/<$
• !+:α
'P!+,Q
8*+ B&8(+
'B$=+=:
(+' 4
4(7
74(c (+
=4
H(!+N,,,$
8*+ B2$
8(+'
($
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• )
8*+ B2$8
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)
NHB:8TF
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B"%
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BU%
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E"
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BU%
≈
B0"V2U
N'T: TK
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TK
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N'E:U"
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B2%;Q
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BE
Phạm Quang Đạt
'P (78+'()
4( :!+
N,,,,Q$
BT
]
+L($'(!+Q N'F: U
]
2"%
;Q!+F/K]<
???(7/K]
4. Hướng dẫn về nhà
- Q!7:!+(6,\XQg""]$
- W !"E0"F/KT$
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
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Tiết 9 BẢNG LƯNG GIÁC (tiếp theo)
I. Mục tiêu:
AO*) ()0J(7(0R^d!+) $
+'()7:*: C8) R!8* ;3 ) )<$
II. Phương tiện dạy học
+) 07:;A( <$
III. Quá trình hoạt động trên lớp .
1.Ổn đònh lớp
2.Kiểm tra bài cũ:
\)*=^ C8) (+ )0J(1 C87*
()($
3.Bài mới:
HOẠT ĐỘNG 1:N'()!+) .8* R!C8)
(+ *B
.!+N,,,8]0
KU2K&NKU2K (+
'EB
]
2F%
).αR!
α; B2
' (<$
!+N,,,
'3626'3026
'3626sinsin'3026sin
00
00
〈〈⇒
〈〈
x
x
!<.8* (+ R!
*) C8)
(+ *
N'K.α&!α#
]0KU2K
!+⇒α ≈ 51
0
36’
Vd8: Tìm α ! α
#20]]F
!+⇒α≈BU
]
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??(7/KB
N'V. L!8L
≈0,447
!+α≈"K
]
N'B]. L! 8L
BF
Phạm Quang Đạt
)
'1856'2456
'1856coscos'2456cos
00
00
〉〉⇒
〈〈
x
x
≈]0EETK
!+⇒α≈EF
]
HOẠT ĐỘNG 2:'P8+'()7:!+(6,\XQE]]I
4. Hướng dẫn về nhà
- Q!7:!+(6,\XQg""]$
- W !"E0"F/KT$
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
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TIẾT 10 LUYỆN TẬP
I. Mục tiêu:
ZR71d!+;3 8+'()7:<*: C8) R !8*
) )$
II. Phương tiện dạy học :
+) 07:8XQZE]]8$
II.Quá trình hoạt động trên lớp . :
1.n đònh lớp
2.Kiểm tra bài cũ: 8+!"E0"F/
3.Luyện tập
+!"E
)TR !+
. LR!
=) (+
$
N'P(7
!"K"U!S
'(!+)
; 8+'()
4( :<$
T!+R
J(+$
T!+R
J(+
T&
P +"*)'
RJ(+!+
;BRJ(+!
"K&BRJ(+!
"U<
"EKT
<8T]
°
B"G
≈
]0FTEE
!< 8E2°ETG≈]0F]2"
<F2°2FG≈"0]BTE
'< "E
°
BU"G
≈
"0BBEE
"FKT
<8L
≈
]0"2F2
⇒
L
≈
B2
°
T"G
!< 8L
≈
]0F""T
⇒
L
≈
EB
°
2BG
<L≈"0BET⇒L≈FE°FG
'< L
≈
20"EB
⇒
L
≈
BK
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FG
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°
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≈
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°
BUG
≈
"0BBEE
BK
Phạm Quang Đạt
d.8 *
85)8(7
( 800 $
AO )*=74C8
) (+
()($
H)*=7**
!*
8FE
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IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
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TIẾT 11: MỘT SỐ HỆ THỨC VỀ CẠNH VÀ GÓC TRONG TAM GIÁC VUÔNG
I. Mục tiêu:
- O1 1 ) (+ ($
- N'()*) * + (
II. Phương tiện dạy học :
R0(0!+()$
III.Quá trình hoạt động trên lớp .
1.Ổn đònh lớp
2.Kiểm tra bài cũ:
D∆6()6017 C8) (+P
B
ˆ
C
ˆ
$
!D17:6068080 80 8$
D17:P ) (J( ) (R 00 0 $
3.Bài mới:
HOẠT ĐỘNG 1: $
BU
5B
5"
Phạm Quang Đạt
$H) (+
R! (1*
5B
$I8 +C8
W (+
B
ˆ
C
ˆ
$
$R )
(+;!<; <
(+R! (1$
NR)*(
*=7$
8#
6
⇒
6#$8
8#
6
⇒
6#$8
8#
6
⇒
6#$ 8
8#
6
⇒
6#$ 8
#
6
⇒
6#6$
#
6
6
⇒
6#6$
#
6
⇒
6#6$
#
6
6
⇒
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4+*35
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B$
DJ(
=7;/<
NH 4+
*3
R+
2$ 8FE
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≈
B0"K;<
HOẠT ĐỘNG 2'P4$
6'()!22&2T;0 <
42E02F02U$
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
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TIẾT 12: MỘT SỐ HỆ THỨC VỀ CẠNH VÀ GÓC TRONG TAM GIÁC VUÔNG (tt)
I. Mục tiêu:
ZN'()*) * + ($
Z(*) (1h+ (i
II. Phương tiện dạy học :
R0(0!+()$
III.Quá trình hoạt động trên lớp .
1.Ổn đònh lớp
2.Kiểm tra bài cũ: N 4 ) ($
3.Bài mới:
HOẠT ĐỘNG 16'()+ ($
+: (1
h+ (i$
?QNHT
.\>&\-&-M
NHT/ DJ(
BV
!#$8#$ 8
#$8#$ 8
!# $# $
#!$#!$
!#$8#$ 8
#$8#$ 8
Phạm Quang Đạt
?QNHE
+ (
WAI$
.
N
ˆ
&WA&IA$
;:IA!S
*=7>7<
NHE;/<
;1.<
;8:+⇒
L )<$
$*) R714(7
/
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NHT;/<
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−
0
90
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\-#>-$8>#K$82F °≈T0BBT
NHE
0000
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MN
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WI
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]0F"V2
≈
T0TTV
?W(7/
HOẠT ĐỘNG 2'P4$
6'()!22&2T;0 <
42E02F02U$
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
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TIẾT 13: LUYỆN TẬP
I. Mục tiêu:
ZN'()1 1 ) (+ ( h+
(i$
II. Chuẩn bò:
/0(0!+()$
III. Quá trình hoạt động trên lớp $
1.n đònh lớp
2.Kiểm tra bài cũ:
Z17 :P ) (7 )(74 C8)
(+ );8+!2T <
3. Luyện tập:
"]
!# $# $
#!$#!$
Phạm Quang Đạt
+422
/
N'PZ4(
(+ 5
Z )
(*1!O
)3*
α
#
2T
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$
N (7
$2E
)!22.
*) '()
;(7+*7.
α
<
2F;Q.2E
/<
)(740B 0
+.
α
5
W(7 *1!R4
α
⇒ +
'($
8+!0
L'()
J( C8)
$
8+: 'P
* 4'(
;⇒
α
⇒
α
5<
+'(
')0
8
α
#
R4
(74
*⇒
α
;')!+
) <
$/M#V]
]
Z2]
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⇒/M6#F]
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Z2U
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#""
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22/
4( (+
UF2T
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≈
EU;<
2E/
K
T
α
6
α
#
≈⇒
α
4
7
F]
]
BE%
2F/
8
α
#
320
250
⇒
'3738
0
≈
α
4. Hướng dẫn về nhà:
N'P(+'(!2VJ(.*. +J(7!$
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
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TIẾT 14: LUYỆN TẬP
I. Mục tiêu:
ZN'()1 1 ) (+ ( h+
(i$
II. Chuẩn bò:
/0(0!+()$
III. Quá trình hoạt động trên lớp $
1.n đònh lớp
2.Kiểm tra bài cũ:
Z17 :P ) ( ) (R C8
) (+ );8+!2T<
3. Luyện tập:
2K
N'P
∆/+ *4(
2K/
"B
Phạm Quang Đạt
/+/
⊥
6;/
∈
6<
.8*/M&/M6$
:*'/
Q∆/6()/&
.65
Q∆6A;AM#BN<.
6A
)8(7(:6
$2U/
DN'PL
∆6;M#BN<
!DQ∆6HR1
* 6$
⇒/#
2
1
#E0E
$6B'()
J( )(74 8
α
$H( J(
1 )(748
α
$( 4'(
48(7
;Q$2FZ/<
. '()
(RR16
∆6;M#BN<$8:6
48(7 HM;')
*=^ (+8
α
<
/
6
2]
°
2U
°
BB
A
'22cos
5,5
ˆ
cos
==
ABK
BK
AB
<6A#6$86MA
E$V2$82U
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≈
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21,4
'30cos
65,3
ˆ
cos
)
≈
==
NCA
aN
ACb
2U/
<6#6$8M6
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#U$8KT
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K0FV
8HM#
6,9
69,7
≈
AD
AH
⇒6HM#HM
0
53
≈
4. Hướng dẫn về nhà:
N'P(+'(!2VJ(.*. +J(7!$
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
TIỀT 15: ỨNG DỤNG THỰC TẾ CÁC TỈ SỐ LƯNG GIÁC CỦA GÓC NHỌN.
THỰC HÀNH NGOÀI TRỜI$
I. Mục tiêu:
ZQ *= 4( (+R 4** (+$
- Q *=R+ 1*6* R*) $
Z@(7R71d**) ) $@(77 $
II. Chuẩn bò:
YR*3 & R0 (07:3 !+8$
III. Quá trình hoạt động trên lớp$
1.n đònh lớp
2. Thực hiện:
Hoạt động 1Q *= 4( (+$
$N(7^0
()L *= 4( (+
R 4
*C $
(!= R0
(07:3 !+
8<
$
B$Q *= 4( (+
$ ! )
;Q/<
""
Phạm Quang Đạt
8*4.2U
/$N'P)
8) RJ(+
.*) *) (
6H (+ $
6H#!$
α
'P0J(8.2U/
$ 6H
6H#6H;H#\#
!<
$H)∆6\(
)* 6#$
α
$H( R*6\M#
⇒
α
$
6H#!
α
3. Đánh giá kết quả.
/J(+) *) N**B];(!='() ()2$7
R71(&2$RJ(+T<$P *) 7* ( (+$
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
TIẾT 16: ỨNG DỤNG THỰC TẾ CÁC TỈ SỐ LƯNG GIÁC CỦA GÓC NHỌN.
THỰC HÀNH NGOÀI TRỜI$
I. Mục tiêu:
ZQ *= 4( (+R 4** (+$
Z@(7R71d**) ) $@(77 $
II. Chuẩn bò:
YR*3 & R0 (07:3 !+8$
III. Quá trình hoạt động trên lớp$
1.Ổn đònh lớp
2. Thực hiện:
HOẠT ĐỘNG 1:Q *=R+
$N(()Q
*= 4( *
**) C)
!*$
$H)8*4$2Vg
/$N'P
) RJ(+:
*) 4(6 (+
*$
$ (!=R*3 0
R0 (07
:;3 !+8<
;J(8$2V8/<
$4( *
6#!
$H)∆6(
)6 6#$α
"$Q *=R+
? ! )
;Q/<
ZH( R*3 ) 6L
⊥
6
Z6#;
∈
6L<
?H( R*
6M#α⇒:α
Z4(6#$α
3. Đánh giá kết quả.
/J(+) *) N**B];(!='() ()2$7
R71(&2$RJ(+T<$P *) 7* ( (+$
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
"2
Phạm Quang Đạt
TIẾT 17: ÔN TẬP CHƯƠNG I
I. Mục tiêu:
Z R 4 )* 0 1 ) (+
($
Z C8) (+ )J(1 C8)
(+ ()($
Z@(7R71d+ ('(): 4( 0 4(
(+$
II. Chuẩn bò:
+()0/0(
III. Quá trình hoạt động trên lớp .
1.n đònh lớp
2.Kiểm tra bài cũR)RJ(. $
3. Bài tập ôn chương.
HOẠT ĐỘNG 1:+ (+ (+/
ZN J(8.
) $
J
G
G
>
@
Q.TB0N
) + (+"
2
β
α
!
6
N7( 4(+:
(1i+
(i$(*( (+
T/
+2) 0
P ($
T8*)'T)
4)"0"!0202!$
!(+ (
+T$
6$(+
BD
<
"
#%$J&
"
#%$J
''.)
111
)
2
222
rphc
rph
b
=
+=
"D
.cot..
;cot..)
cos.sin.
;cos.sin.)
/3
cot;cot
sincos;cossin)
cot;
cos;sin)
αβ
βα
αβ
βα
αβαβ
αβαβ
αα
αα
gbtgbc
gctgcbb
aac
aaba
tgggtg
b
b
c
g
c
b
tg
a
c
a
b
a
==
==
==
==
==
==
==
==
TD+
( 4!7($
* :7(
)$
\6a\bA" B
"T
Phạm Quang Đạt
$ + (+
O !T]0TB$
(0C8
1 ) (
J(C8 (+
)5
"U
BV
α
β
17. α β
$
*(7 (+
$ )
$ (+ )7
(+ )R$
:α0*
L *= α8(7
β
$∆6( )
⇒65
$:6$
T]/
<;$T"<g
!<;$T2<gH
<;$TT<g
.TB/<
<;$TE<g
!<;$TF<g
T2Z/
0000
0
563490.90
346786,0
28
19
≈−≈=
=⇒≈=
αβ
αα
tg
N7 ) (+
( *
α
≈
2T
]
&β
≈
EF
]
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
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TIẾT 18: ÔN TẬP CHƯƠNG I (Tiếp theo)
I. Mục tiêu:
Z R 4 )* 0 1 ) (+
($
Z C8) (+ )J(1 C8)
(+ ()($
Z@(7R71d+ ('(): 4( 0 4(
(+$
II. Chuẩn bò:
+()0/0(
III. Quá trình hoạt động trên lớp .
1.n đònh lớp
2.Kiểm tra bài cũR)RJ(. $
3. Bài tập ôn chương.
HOẠT ĐỘNG 1:\M
N'P) 8
<;L.TU<$:6
$)
:6%%5
$:6%%$
TTZ/
$6##"]; <
$6'()*=7>7 ∆
6()
22
HCAHAC
+=
"E
Phạm Quang Đạt
"B
"]
TE
°
6
!<;L.TU!<
:6ii
G
G
G
6G
"B
"]
TE
°
$N J(8$TV
/
Z:,.+L
∆,/(),$
Z:,6!S L
∆,/6(),$
;-(8.E]/<
6'()(L
*= 4( (+$
N'P1.
L
7
E
"
6
;N'P1.
."]NVF<
W4) :6&
6%
W(7%%###2;<
?,/#2U];I<
,/MI#E]
]
BE
]
?,/#2U];I<
,/M6#E]
]
,6#5
4(
!$α
b = 1,7(m)
a =30(m); α =
35
0
Theo
tg21
0
48’ =0,4=
5
2
⇒M#7#L
B:6 (+∆
6;6M#BN<
$B:6%')
∆6%%%;6iM
#BN<
)(292120
22
cm
=+=
$6%%#%%#"B; <
$
)(7,292212121
''''''
22
22
cm
HBHABA
≈=+=
+=
TEZ/
$,#,/$;E]
]
BE
]
<
#2U]$FE
]
≈
UBT0V;<
$,6#,/$E]
]
#2U]$E]
]
≈
TE"0V;<
N7R+ 1
(746
6#,Z,6#UBT0VZTE"0V#
2F";<
TFZ/
4( (+ 7
B0K2]$2E
]
≈
""0K;<
TUZ/
'4821
ˆ
5
2
0
=⇒=
BtgB
7
7#"B
]
TU%⇒L#FU
]
B"%
LZ7#FU
]
TU%#TF
]
"T%
TVZ/
6#$ 8#2$#B0E;<
6#%i$ 8%
#2$ 8K]
]
≈
B0]2;<
N7R'(+*3
R+B0]2;<*B0E;<
**+!+$
IV. Rút kinh nghiệm:
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
TIẾT 19: KIỂM TRA 1 TIẾT HÌNH HỌC CHƯƠNG I
Trường THCS cẩm Đường Ngày$$$tháng $$$$ năm 2005
Lớp : 9D$$$ Môn: Hình học
Họ và tên: $$$$$$$$$$$$$$$$$$$$
"F
Phạm Quang Đạt
Điểm Lời phê của thầy cô
$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$
ĐỀ:
A – TRẮC NGHIỆM (4điểm)
Hãy khoanh tròn vào các câu trả lời đúng.(2đ)
Câu 01: Hãy cho biết tgα
a) b)
Câu 02: Hãy cho biết độ dài cạnh AH
<"B !<"] <TB '</J(+R
Câu 03: Hãy nhìn vào hình vẽ và điền vào dấu chấm cho thích
hợp (với a, b, c, là độ dài các cạnh của tam giác ABC theo hình
vẽ) (2đ)
<α= b)Sinβ=
c)Cosα= d)Cotgβ=
B TỰ LUẬN: (6đ)
B$.L7P.8(;72 18<
U
B]
7
L
"EV
L
"$ 6()6$N1. :C8) (+
$*8(7 : C8) (+ $
2$ HYX YX#K 0HM#T]
]
0XM#EU
]
$/+* Y, (+ *$17
:;72 18<
< Y,$
!<)YX$
Biểu điểm:
B"*
""*
2"*
CHƯƠNG II ĐƯỜNG TRÒN
TIẾT 20: ĐỊNH NGHĨA VÀ SỰ XÁC ĐỊNH ĐƯỜNG TRÒN
I. Mục tiêu:
ZAO*) *=^*0: (+*R:08)L *=*0
*) 0 *0 ')*J(2
"K
"U
BV
α
β
"B
"]
TE
°
6
β
α
!
6
