Feem ntau, txiav txim siab cov kab zauv ntawm kab ntawm kab ntawv tuaj yeem siv ntau qhov kev suav. Tab sis nrog cov kab ncaj ncaj yooj yim, koj xav tau yam tsawg ib qho kev suav. Koj tuaj yeem tsuas qhia qhov sib npaug yuav luag tam sim ntawd los ntawm suav cov thawv me me ntawm daim ntawv kab ntawv.
Cov kauj ruam
Ntu 1 ntawm 3: Txheeb Tawm Qhov Sib Piv
Kauj Ruam 1. Paub cov qauv yooj yim rau kab ncaj ncaj
Daim ntawv nqes hav-cuam tshuam yuav siv feem ntau ntawm no. Nws yog y = mx+c qhov twg:
- y yog tus lej sib piv rau y-axis;
- m yog qhov gradient lossis nqes hav ntawm kab;
- x yog tus lej sib piv rau x-axis;
- thiab c yog y-cuam tshuam.
- Txhawm rau zam kev tsis meej pem, nco ntsoov ib txwm muaj qhov zoo y.
Kauj Ruam 2. Txiav txim seb qhov gradient lossis m tsis zoo lossis tsis yog
Yog li muaj ob tog xaiv los ntawm: y = mx+c lossis y = -mx+c. Yog tias txoj kab mus ntawm sab saum toj mus rau sab laug hauv qab, m yog qhov zoo. Tab sis yog tias txoj kab mus ntawm sab laug mus rau sab xis hauv qab, m yog qhov tsis zoo.
Kauj Ruam 3. Nrhiav qhov gradient
Ua ntej koj tso tseg thiab siv los laij nws nrog cov lej, sim ua qhov yooj yim no. Saib yog tias kab kab tau nrawm dua li y = x lossis y = -x. Yog tias nws nrawm dua, nws txhais tau tias m> 1. Yog tias txoj kab zoo dua lossis ntxhab ntxaum, nws txhais tau tias m <1.
- Sijhawm suav cov thawv. Yog m> 1, suav cov thawv ntsug rau ib lub thawv dav dav. Suav tus naj npawb ntawm cov thawv nws yuav siv rau kab kom ncav cuag los ntawm ib tus lej ob npaug (piv txwv (2, 3) lossis (5, 1); tsis yog (5.4, 3) lossis (1.2, 3.9)) mus rau lwm qhov ob npaug ntxiv. Cov naj npawb ntawm cov thawv suav tau ncaj qha sib npaug rau m.
- Tab sis yog m <1, suav cov kab ntawv kab rov tav rau ib lub thawv dav dav dav. Cia tus lej ntawm cov thawv suav nrog yog n. Cov gradient yog m <1 yuav yog ib qho dhau n lossis 1/n.
Kauj Ruam 4. Nrhiav tus y-cuam tshuam lossis c
Qhov no tej zaum yog cov kauj ruam yooj yim tshaj plaws ntawm txhua qhov hauv tsab xov xwm yuav ua li cas. Y-cuam tshuam yog lub ntsiab lus uas kab hla tus y-axis.
Ntu 2 ntawm 3: Nrhiav Qhov Sib Piv Ceev Rau Kab Ntsug lossis Kab Rov Tav
Kauj Ruam 1. Ua ib qho zoo, saib nrawm ntawm tus lej ntawm x lossis y axis
Yog hais tias kab yog ntsug, saib x-cuam tshuam. Yog tias kab yog kab rov tav, saib y-cuam tshuam. Qhov sib npaug rau cov kab no sib txawv ntawm y = mx+c qauv.
- Piv txwv 1: Kab yog kab ntsug. Yog li, peb yuav tsum saib x-cuam tshuam. Saib nws kom meej, peb tuaj yeem pom tus lej '6'. Qhov sib npaug rau kab no yog x = 6. Lub ntsiab lus yog x yuav ib txwm yog 6 vim tias txoj kab ncaj, yog li nws yuav nyob ntawm 6 thiab tsis hla lwm txoj kab.
- Piv txwv 2: Kab yog kab rov tav. Peb yuav tsum saib y-cuam tshuam. Qhov sib npaug yog y = 1 vim tias kab rov tav yuav nyob ntawm ib qho mus ib txhis yam tsis hla tus x-axis.
Kauj Ruam 2. Tsis txhob hnov qab cov kab tuaj yeem ua rau tsis zoo ib yam
- Piv txwv 3: Kab no yog kab ntsug. Peb yuav tsum saib x-axis. Kab mus nrog tus lej '-8'. Yog li, qhov sib npaug rau kab no yog x = -8.
- Piv txwv 4: Kab no yog kab rov tav. Saib ntawm y-axis. Kab rov tav ua ke nrog tus lej '-5'. Qhov sib npaug yog y = -5.
Ntu 3 ntawm 3: Siv Cov Piv Txwv los Xyaum Ua Kab Ntau
Kauj Ruam 1. Xyaum nrog qee qhov piv txwv uas tsis yog ntsug thiab tsis yog kab rov tav piv txwv
Lub sijhawm rau qee yam nyuaj dua!
- Piv txwv 1: Pom tias nws yuav siv ob kab thaiv li cas kom tau txais los ntawm ib qho piv txwv ob npaug mus rau lwm qhov. Tsis tas li ntawv ceeb toom tias nws yog steeper tshaj qhov yooj yim y = x. Peb tuaj yeem xaus tias qhov gradient yog '2'. Yog li tam sim no peb tau y = 2 x. Tab sis peb tseem tsis tau ua tiav. Peb tseem yuav tsum nrhiav y-cuam tshuam. Daim ntawv ceeb toom tias kab hla tus y-axis ntawm '-1' hauv y-axis. Qhov sib npaug rau kab no yog qhov tseeb y = 2 x -1.
- Piv txwv 2: Pom tias txoj kab mus ntawm sab laug mus rau sab xis hauv qab, nws txhais tau tias nws muaj qhov tsis zoo gradient. Txhawm rau mus txog ib tus lej ob npaug rau lwm qhov, tus naj npawb ntawm kab thaiv kab rov tav yog 3 thaum tus naj npawb ntawm cov ntsug ntsug yog 1. Nws txhais tau tias qhov gradient yog '-1/3'. Y-cuam tshuam yog qhov zoo 3 raws li koj pom kab hla tus y-axis. Cov kab no y = -1/3 x +3.
Kauj Ruam 2. Ua koj txoj hauv kev mus rau cov kab nyuaj
Kawm daim duab no. Tej zaum koj yuav tau pom txoj cai no ua ntej, tab sis kawm nws kom paub nws zoo dua. Koj kuj tseem yuav xav rov qab saib qee qhov piv txwv yav dhau los.
- Piv txwv 1: Nov yog kab uas tsis paub. Tab sis saib rov qab rau txoj cai saum toj no thiab sim siv tib qho laj thawj nrog kab no. Kab no muaj qhov zoo gradient. Txhawm rau kom tau txais los ntawm ib tus lej ob npaug rau lwm qhov, nws ntsug nce mus txog 4 ntu thiab kab rov tav mus rau sab xis 3 ntu. Saib rov qab ntawm txoj cai saum toj no, peb tuaj yeem txiav txim siab tias txoj kab no muaj qhov gradient ntawm '4/3'. Y-cuam tshuam yog 2, yog li kab yog y = 4/3 x +2.
- Piv txwv 2: Rau kab no, peb tuaj yeem pom tias y-cuam tshuam yog '0' yog li peb tsis tas yuav ntxiv dab tsi rau c. Nws muaj qhov tsis zoo gradient. Txhawm rau tau txais los ntawm ib tus lej ob npaug rau lwm qhov, tus naj npawb ntawm cov kab ntsug xav tau yog 3 thaum tus lej ntawm kab rov tav uas xav tau yog 4. Yog li, qhov sib npaug yog y = -3/4 x.
