алгебра 9 класс

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. .1

: .. 9- N22 , . (.. )2y= ax2 +bx + c: a,b,c 0

, :

31. , : = - ( + 3 ) 2 + 2 = 5 + 2 = 2 1 = 63 52 + 7 = 72 + 2 -1 = 52 + 3

= 2 5 + 6 = 64 + 52 + 7

= 2 + b + , , . . , ( , , ). .

.

5

= 2 + b + , = 2 .

- ( 0; ) ,

: = - 0 =.

= - -

7 = 2 + b + , . :

2 + bx + = (2 + x ) + = = + =

= + =

= ( x0)2 + y0, , ,

= 2 + bx + , = 2, ( x0 ; y0 )8

. a>0 -

a 0D > 0D = 0D < 0 , min = f ( )

< 0D > 0D = 0D < 0 , max = f ( )

13

- ,

f(x0)14 , f(x) = - 2 ( 3 ) 2 + 4f(x) = 72 + 2 -1f(x) = ( + 2 ) 2 3f(x) = 2 + ( + 1) + 3f(x) = 2 6 + 5 f(x) = 63 52 + 7

f(x) = ( + 2 ) 2 3f(x) = - 32 + 115 .

: : = 3 - 6 2 + 8

: = 3 - 6 2 + 8

0 = 2 -6 + 8 = (2- 23 + 9) 1 = = ( - 3 )2 -1 :

= 2, 3 1 .

1 :

, = 2 - 6 + 8 : ( 3; -1)- (.. = -(b/ 2a); y=(4ac b2) / 4a ) 2 - 6 + 8 =0 = 2 = 4 > 0 ( ) (0 ; 8) 2 :

(f) = [ -1 ; + )

[ +3; + ) ( - ;+3] -1 f(x) > 0 < 2, > 4f(x) < 0 2 < < 4

1. = 2 + bx + , . , 8 .. .. 2 .2. .. . . .. ,- .1967.3. .. .. .. : 9 . .- . , 200921

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