1 / 3 sider - klik for at bladre

Andengradspolynomier

  • Matematik
  • 1.g el. lign.
  • Afleveret til 12
  • 3 sider PDF

Det er gratis at oprette en konto

Andengradspolynomier er en matematik-opgave fra 2011 til 1.g el. lign., afleveret til karakteren 12. Fylder 3 sider (586 ord, ca. 3 min. læsning) og blev publiceret 7. maj 2020.

Emneopgave der omhandler Andengradspolynomier. Den indeholder en teoridel der efterfølgende bliver fulgt op af nogle praktiske eksempler... Håber du bliver lige så glad for den som min matematiklærer;)

Downloadet fra Opgaver.com !"#$%&'()$*#+,*.#/$#'+(/0&%12#%"3$+

!&,#$-(.

!"#$%&$'"()*

15

Z:(#0,'0!"#,%120&.*30('":(@$,'-&C$,(%$:($:(3=-,'-&3#("3(#E?$:[( E(J(3LT5(J("T6(7(@T(7(N(( IC=-("(O(G(=<("P(@(=<(N( (\( ( ( ( 9$#(!"#$%&'()*++',("#($:(,;0":(":0$:<-"0,32:'#&=:('">0$,($:(?"-"@$>A( B"-"@>$-($-('$:0$#$<:$#(C$0("#(CD-$(,E%$#-&,'$(=%'-&:<($:(>=0-$#(>&:&$( <$::$%(#=??2:'#$#A(( ( -#++'.(#(C&,$-(=%(<-$:$:$(C$:0$-(=?"0($>>$-(:$0"0A(( C$0(("(F(G(C$:0$-(<-$:$:$(=?"0( C$0(("(H(G(C$:0$-(<-$:$:$(:$0"0( ( -#++'.()(<&C$-(20#-E'(3=-(?"-"@>$:,(,E%"#-&3=-I=>0A( IC&,(@(J(G($-(0$:(,E%$#-&,'(=%(EK"',$:(LM($-(?>"N$-$#(?;(0$::$("',$5( IC&,(@(O(G(=<(I"-(,"%%$(3=-#$<:(,=%("P($-(,E%"#-&"',$:(QE##$#(#&>(C$:#-$( IC&,(@(O(G(=<(I"-(%=0,"#(3=-#$<:("3("P($-(,E%"#-&"',$:(QE##$#(#&>(IRS-$( ( -#++'.(/(C&,$-(?"-"@>$:,(,'D--&:<(%$0((EK"',$:( ( -#++'.(,(@$,'-&C$-(":#">>$#("3(>R,:&:<$-P(">#,;(,'D-&:<$-(%$0(TK"',$:A( IC&,(0(H(G($-(0$-(&:<$:(>R,:&:<( IC&,(0(J(G($-(0$-(:$#=?(U:(>R,:&:<( IC&,(0(F(G($-(0$-(#=(>R,:&:<$-( (

65

4785

9&,'-&%&:":#$: ( M=??2:'#$#( ( V2>?2:'#,3=-%>$:

(0(J(@6(K(8"N( (T = ( x , y ) = ( -b/2a , -d/4a ) (T(J(L(K@(W(X0(5Y6"(

/&0$(1(20("3(4

!"#$%"#&'() *+)

!"#$%&'()$*#+,*.#/$#'+(/0&%12#%"3$+

!&,#$-(.

!"#$+&$,)-./*.

]?<"C$(1 15 +$,#$%%$>,$("3(3=-,'-&3#(3=-(!

!LT5(J(KGPG1T6(7(1aT( IC=-(T($-("3,D#:&:<$:(=<(!LT5($-(=%,D#:&:<$:(

65

+$,#$%%$>,$("3(3=-,'-&3#(3=-(&

36'"%&2,( &;<=( &LT5 &LT5 &LT5 (7(38%9.0*0!( ( (7(!LT5( ( 6(7(1aT5( (J(LKGPG1T (J(KGPG1T6(7(1aT ( (J(KGPG1T6(7(18P^GT(K(6GGG( (:(%#8+','(38&3%.0*0!'"( (K(5LT5( (K(L4P^GT(7(6GGG5( (K(4P^GT(K(6GGG(

(

4785 +$,#$%%$>,$("3("3,D#:&:<(C$0(0$#(,#R-,#$(=C$-,'20

b=-("#(c:0$(0&,'-&%&:":#$:(0P("3(&LT5(J(KGPG1T6((7(18P^GT(K(6GGG( 0(J(@6(K(8"N( 0(J(18P^G6(K(8dLKGPG15dLK6GGG5( 0(J(14GP6^( ( +-2<$:("3(0(&(@$-$<:&:<$:("3(M=??2:'#$#(M( M(J(L(T(P(E(5(J(L(K@(Y(6"( ( (P(K0(Y(8"(5( M(J(L(T(P(E(5(J(L(K18P^G(Y(L6dKGPG15 (P(K14GP6^(Y(L8dKGPG15(( M(J(L(T(P(E(5(J(L(K18P^G(Y(KGPG6 ( (P(K14GP6^(Y(KGPG85( M(J(L(T(P(E(5(J(L(e6^(P(46^fP6^(5( ( 9$#('":(I$-("3(,$,(&(IC&>'$#('==-0&:"#(0$-($-(,#R-,#(=C$-,'20A(( _(0$##$('==-0&:"#($-(TKCD-0&$:P(">#,;("3,D#:&:<$:(?;(e6^(,#'A(

85

+$,#$%%$>,$("3(B-&,$:

3Le6^5(J(KGPG1de6^6(7(1a(J(1GPe^(

^5

_:0#$<:&:<("3(<-"3$-:$(&(!4(5(=<(&(`-"?I

kr.

8000

k(x) h(x) g(x)

7000

6000

5000

4000

3000

2000

1000

Afsætning

200 400 600 800 1000 1200 1400 1600 1800 2000 2200 2400

/&0$(6(20("3(4

!"#$%"#&'() *+)

!"#$%&'()$*#+,*.#/$#'+(/0&%12#%"3$+

!&,#$-(.

!"#$+&$,)-./*.

]?<"C$(6 15 _:0#$<:&:<("3(1(=<(!&(`-"?I

y

8

6

4

2

x

-3 -2.5 -2 -1.5 -1 -0.5 0.5 1 1.5 2 2.5 3 3.5 4 4.5 5

-2

f(x)=1x^2-2x-3 f(x)=1x+1

-4

65

+$-$<:&:<("3(,'D--&:<,?2:'#$-:$(%$>>$%(1(=<(!

9$-(<D>0$-(0$(,"%%$(-$<>$-(,=%(3=-(>&<:&:<$-("3(3R-,#$(<-"0A( 1LT5( (J( (!LT5( 1T6((K(6T(K4( (J (1T(7(1( ( ">#(,"%>$,(?;($:(,&0$(3T(C$:,#-$(,&0$(=<(,D##$,(>&<(G( 1T6((K(6T(K4( (J (1T(7(1( 1T6((K(6T(K8( (J (1T(( 1T6((K(4T(K8( (J (G( ( 0$-:D,#(@-2<$,(:2>?2:'#,3=-%>$:(L0$:('-DC$-("#(0(,'">(c:0$,(3R-,#5( 0(((J(((@6(K(8"N((J((LK456(K(g8d1dLK85h(((J(((i(K(LK1f5(((J(((6^(

(

T(((J((L(K@(W(X0(5Y6"( T(((J((g(KLK45(W(X6^h(Y(6d1( T(((J((4(W(^(Y(6( T(J(aY6((T(J(LK65Y6( T(J(8((((T(J(LK15( ( ":0$:'==-0&:"#$:(@$,#$%%$,(C$0("#(&:0,D##$(TKCD-0&$-:$(&(3=-,'-&3#$:( E(J(3L85(J(1d86(K(6d8(K4((( (=<(((E(J(3LK15(J(1dLK156(K(6dLK15(K(4( E(J(3L85(J(1f(K(a(K4(((((((((( (=<(((E(J(3LK15(J(1(K(LK65(K(4( E(J(3L85(J(^ ( (=<(((E(J(3LK15(J(G( ( V2(I"-(C&(,;(0$(#=('==-0&:"#,D#(3=-(0$(,'D-&:<$:(%$>>$%(1(=<(!( LT1PE15(J(L8P^5((=<(((LT6PE65(J(LK1PG5( ( (

Få adgang til denne og 100.000+ andre opgaver i PDF

Det er gratis at oprette en konto

Lignende opgaver