of 22
8/2/2019 dai 9-tiet 49
1/22
Em hy in vo trng cc gi tr ca y trong bng sau
Pht biu tnh cht ca hm s y = ax2 (a 0)
X -3 -2 -1 0 1 2 3
y = 2x2 18 8 0 22 8 18
Nu a> 0 th hm s nghch bin khi x < 0
v ng bin khi x >0Nu a < 0 th hm sng bin khi x < 0
v nghch bin khi x >0
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2/22
th hm s y= ax + b (a 0) l ng g? v th hm s y = ax + b (a 0) ta cnxc nh my im?
th hm s y = ax + b (a 0) l mt
v th hm s y = ax + b (a 0) tacn xc nh hai im thuc th hm s
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3/22
1818
yyyy
A Ax -3 -2 -1 0 1 2 3
y = 2x2 18 8 2 0 2 8 18
VD1: th hm s y = 2x2
Trn mt phng ta ly cc im:
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V tr ca cpim A v A i
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Vy im caonht ca th l
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th?
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- thnhn Oy lm trci xng.
- O lim thp nht cath
--33 --22 --11OO 11 22 33--33 --22 --11
OO 11 22 33 xx
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88B
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dai 9-tiet 49
4/22
11
88
yyyy
A A
11
88
yyyy
A A
11
88
yyyy
A A
Mt s lu khi v th
(a 0)
--33--22--11OO 11 22 33--33--22--11
OO 11 22 33 xx
22
88
B
C C
B
B
--
33--22--11OO 11 22 33--33--22--11
OO 11 22 33 xx
22
88
B
C C
BB
--
33--22--11OO 11 22 33--33--22--11
OO 11 22 33 xx
22
88
B
C C
BB
th hs y=ax2
(a0) khng phi l
ng gp khc
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dai 9-tiet 49
5/22
VD2: V th ca hm s1 2y = - x
2Bng mt s gi tr tng ng ca x v y
xO
y
-1-2-3-4 4321
-2N
P P
N
x -4 -2 -1 0 1 2 4
1 2y = - x
2-8 -2 0 -2
1-
21
-2
-8
(a 0)
Trn mt phng ta ly ccim:M(-4; -8); N(-2; 2); P(-1; -1/2 );O(0; 0); P(1; -1/2); N(2; -2); M(4; -8)
-8M MEm c nhn xtg v hs
?1 2y = - x2
- thl mtng congi qua gc ta
- thnm pha di trc honh- thnhn Oy lm trci xng
- O l im cao nht ca th
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b. Trn th ca hm s ny, xc nh im c tung bng -5. C my im nh th? Khng lm tnh hyc lng gi tr honh ca mi im
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VD2: V th ca hm s 1 2y = - x2
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(a < 0)
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Cng c
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Trong thc t ta thng gp nhiu hin tng, vtth c hnh dng Parabol. Tia nc t vi phun ln
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Cu hi
Xc nh v tr ca th cc hm s
sau trn mt phng ta 2 2 21
; 0, 3 ;5
y x y x y x
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th cc hm snm trn trc honh th hm s y = -0,3x2 nm ditrc honh
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5
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Cu hi
im A (-3; 18) c thuc th hm sy = 2x2 khng?
p n
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Cu hi
Bit im M(-1; 5) thuc th hms y = ax2 (a 0). im N(1; 5) cthuc th hm s y =ax2 khng?
p n
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(a 0) im N(1; 5) cng thuc thhm s y =ax2 . V th hm s y = ax2
(a 0) nhn trc Oy lm trc i xng
Cu hi
Trong cc hm s sau hm s no
c gi tr ln nht; nh nht2 2 2 21
5 ; 1, 3 ; ;2
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Cc hm s c gi tr ln nht:
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Lut
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C mt hnh b che khut bi 4 bc tranh. Ccem hy g cc bc tranh ny tm hnh b che
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-- Tp v th hm s.Tp v th hm s.-- Lm bi t : 4 5 SGK/ Tr36Lm bi t : 4 5 SGK/ Tr36 -- 3737
8;10 ( SBT/ Tr 38)8;10 ( SBT/ Tr 38)
-- c bi c thm: "Vi cch v Parabol"c bi c thm: "Vi cch v Parabol"
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