[[Image:Kuva2.png]]Nimi: ____________________________________ {| style="border-spacing:0;width:13.97cm;" |- | style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | Teht. nro | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 1 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 2 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 3 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 4 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 5 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 6 | align=center style="border-top:0.5pt solid #00000a;border-bottom:0.5pt solid #00000a;border-left:0.5pt solid #00000a;border-right:none;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 7 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 8 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | '''Yhteensä''' |- | style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | Max. pisteet | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 2 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 3 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 5 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 6 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 6 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 4 | align=center style="border-top:0.5pt solid #00000a;border-bottom:0.5pt solid #00000a;border-left:0.5pt solid #00000a;border-right:none;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 3 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 6 | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | 35 |- | style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | Omat pisteet | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | | align=center style="border-top:0.5pt solid #00000a;border-bottom:0.5pt solid #00000a;border-left:0.5pt solid #00000a;border-right:none;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | | align=center style="border:0.5pt solid #00000a;padding-top:0cm;padding-bottom:0cm;padding-left:0.199cm;padding-right:0.191cm;" | |- |} # Tarkastellaan oheista suoraa. ## Kun x = 6, niin mikä on y:n arvo?
________________________________________ ## Kun y = 4, niin mikä on x:n arvo?
[[Image:Kuva1.png]]________________________________________ # Sijoita koordinaatistoon pisteet (1, 1) ja (5, 3), ja piirrä niiden kautta suora.
{{clear}} [[Image:Image1.png|none]]# Piirrä koordinaatistoon suorat y = 2x ja y = -x + 3.
{| style="border-spacing:0;width:5.092cm;" |- | align=center style="border-top:0.05pt solid #000000;border-bottom:0.8pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.097cm;" | x | style="border-top:0.05pt solid #000000;border-bottom:0.8pt solid #000000;border-left:1.05pt solid #000000;border-right:none;padding:0.097cm;" | y= | align=center style="border-top:0.05pt solid #000000;border-bottom:0.8pt solid #000000;border-left:0.8pt solid #000000;border-right:0.05pt solid #000000;padding:0.097cm;" | (x, y) |- | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.097cm;" | | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:1.05pt solid #000000;border-right:none;padding:0.097cm;" | | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:0.8pt solid #000000;border-right:0.05pt solid #000000;padding:0.097cm;" | |- | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.097cm;" | | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:1.05pt solid #000000;border-right:none;padding:0.097cm;" | | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:0.8pt solid #000000;border-right:0.05pt solid #000000;padding:0.097cm;" | |- | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.097cm;" | | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:1.05pt solid #000000;border-right:none;padding:0.097cm;" | | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:0.8pt solid #000000;border-right:0.05pt solid #000000;padding:0.097cm;" | |- |}
{| style="border-spacing:0;width:5.092cm;" |- | align=center style="border-top:0.05pt solid #000000;border-bottom:0.8pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.097cm;" | x | style="border-top:0.05pt solid #000000;border-bottom:0.8pt solid #000000;border-left:1.05pt solid #000000;border-right:none;padding:0.097cm;" | y= | align=center style="border-top:0.05pt solid #000000;border-bottom:0.8pt solid #000000;border-left:0.8pt solid #000000;border-right:0.05pt solid #000000;padding:0.097cm;" | (x, y) |- | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.097cm;" | | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:1.05pt solid #000000;border-right:none;padding:0.097cm;" | | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:0.8pt solid #000000;border-right:0.05pt solid #000000;padding:0.097cm;" | |- | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.097cm;" | | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:1.05pt solid #000000;border-right:none;padding:0.097cm;" | | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:0.8pt solid #000000;border-right:0.05pt solid #000000;padding:0.097cm;" | |- | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:0.05pt solid #000000;border-right:none;padding:0.097cm;" | | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:1.05pt solid #000000;border-right:none;padding:0.097cm;" | | style="border-top:none;border-bottom:0.05pt solid #000000;border-left:0.8pt solid #000000;border-right:0.05pt solid #000000;padding:0.097cm;" | |- |}
Mikä on piirtämiesi suorien leikkauspiste?
_________________________________________________________________________________
# Yhdistä suoran yhtälö ja sen kuvaaja. ## y = 2x _______ ## x = 3 _______ ## y = -x _______ ## y = -3x + 3_______ ## y = 4 _______ ## y = x – 5_______ 1) 2) 3) [[Image:Kuva3.png]][[Image:Kuva4.png]][[Image:Kuva5.png]] 4) 5) 6) [[Image:Kuva6.png]][[Image:Kuva7.png]][[Image:Kuva8.png]] # ## Mitkä suorat ovat nousevia?
___________________________________________________________ ## Minkä suorien vakiotermi on 4?
___________________________________________________________ ## Mitkä suorat kulkevat origon kautta?
___________________________________________________________ ## Minkä suorien kulmakerroin on 2?
___________________________________________________________ ## Mitkä suorat leikkaavat pisteessä (2, 4)?
___________________________________________________________ ## Minkä suoran kulmakerroin on 0?
___________________________________________________________ [[Image:Kuva9.png]] # Määritä suorien yhtälöt. [[Image:Kuva10.png]] A: _______________________________________________________________________________________________ B: _______________________________________________________________________________________________ # Määritä suorien kulmakertoimet [[Image:Kuva11.png]]A: __________________________________________ B: __________________________________________ C: __________________________________________# a. Piirrä suorat x = -4, y = -2 ja y = -x+1
[[Image:Kuva12.png]] b. Laske suorien rajaaman kuvion pinta-ala.