Yuav Ua Li Cas Nrhiav Qhov Nruab Nrab ntawm Kab Kab: 9 Kauj Ruam (nrog Duab)

2024 Tus sau: Jason Gerald | [email protected]. Kawg hloov kho: 2024-01-15 08:16

Nrhiav qhov nruab nrab ntawm kab ib kab yog qhov yooj yim tsuav koj paub qhov kev tswj hwm ntawm ob qhov kawg ntawm kab. Feem ntau txoj hauv kev los nrhiav nws yog siv tus lej nruab nrab, tab sis muaj lwm txoj hauv kev los nrhiav qhov nruab nrab ntawm kab ib kab yog kab yog kab ntsug lossis kab rov tav. Yog tias koj xav paub yuav ua li cas thiaj pom qhov nruab nrab ntawm kab ib kab hauv ob peb feeb, tsuas yog ua raws cov theem no.

Kauj ruam

Txoj Kev 1 ntawm 2: Siv Cov Qauv Midpoint

Kauj Ruam 1. Nkag siab txog qhov nruab nrab

Qhov nruab nrab ntawm kab ib kab yog lub ntsiab lus uas nyob hauv nruab nrab ntawm ob qho kawg. Yog li, qhov nruab nrab yog qhov nruab nrab ntawm ob qhov kawg, uas yog qhov nruab nrab ntawm ob x-kev sib koom tes thiab ob y-coordinates.

Kauj Ruam 2. Kawm cov lej nruab nrab

Tus lej nruab nrab tuaj yeem siv los ntawm kev ntxiv cov x-kev sib koom tes ntawm ob qhov kawg thiab faib cov txiaj ntsig los ntawm ob, thiab tom qab ntawd ntxiv y-coordinates ntawm qhov kawg thiab faib ua ob. Nov yog qhov koj pom qhov nruab nrab ntawm x thiab y tswj hwm ntawm qhov kawg. Nov yog cov mis: [(xwm₁ +xwm₂)/2, (y₁ + y₂)/2]

Kauj Ruam 3. Nrhiav qhov chaw ntawm qhov kawg

Koj tsis tuaj yeem siv tus lej nruab nrab nruab nrab yam tsis paub txog x thiab y kev tswj hwm ntawm qhov kawg. Hauv qhov piv txwv no, koj xav pom qhov nruab nrab, taw tes O, uas nyob nruab nrab ntawm ob qho kawg M (5, 4) thiab N (3, -4). Yog li, (x₁, y ua₁) = (5, 4) thiab (x₂, y xub₂) = (3, -4).

Nco ntsoov tias txhua khub ntawm kev tswj hwm tuaj yeem yog (x₁, y xub₁lub) or (x₂, y ua₂) - txij li koj tsuas yog ntxiv qhov kev tswj hwm thiab faib ua ob qho, nws tsis muaj teeb meem qhov kev sib koom ua ke los ua ntej.

Kauj Ruam 4. Txuas qhov sib koom ua ke rau hauv cov mis

Tam sim no koj paub cov kev tswj hwm ntawm qhov kawg, koj tuaj yeem ntsaws lawv rau hauv cov mis. Nov yog koj ua nws li cas:

[(5 + 3)/2, (4 + -4)/2]

Kauj Ruam 5. Ua tiav

Thaum koj tau txuas qhov kev sib koom ua ke rau hauv cov qauv, txhua yam koj yuav tsum ua yog ua qee qhov lej yooj yim uas yuav muab rau koj nruab nrab ntawm ob kab ntu. Nov yog koj ua nws li cas:

• [(5 + 3)/2, (4 + -4)/2] =
• [(8/2), (0/2)] =
• (4, 0)
• Qhov nruab nrab ntawm qhov xaus ntawm cov ntsiab lus (5, 4) thiab (3, -4) yog (4, 0).

Txoj Kev 2 ntawm 2: Nrhiav Qhov Nruab Nrab ntawm Kab Ntsug thiab Kab Rov Tav

Kauj Ruam 1. Saib cov kab ntsug lossis kab rov tav

Ua ntej koj tuaj yeem siv txoj hauv kev no, koj yuav tsum paub yuav ua li cas txhais kab ntsug lossis kab rov tav. Nov yog yuav ua li cas thiaj paub:

• Ib txoj kab tau txiav txim siab kab rov tav yog tias ob y-coordinates ntawm nws qhov kawg yog tib yam. Piv txwv li, kab ntu nrog qhov kawg (-3, 4) thiab (5, 4) yog kab rov tav.

  

• Ib txoj kab tau txiav txim siab ntsug yog tias ob x-coordinates ntawm nws qhov kawg yog tib yam. Piv txwv li, kab ntu nrog qhov kawg (2, 0) thiab (2, 3) yog ntsug.

  

Kauj Ruam 2. Nrhiav qhov ntev ntawm ntu

Koj tuaj yeem yooj yim nrhiav qhov ntev ntawm ntu yooj yim los ntawm kev suav tus lej ntawm kab rov tav nyob deb ntawm qhov kawg ntawm qhov chaw yog kab yog kab rov tav, thiab suav cov naj npawb ntawm txoj kab nrug deb ntawm qhov kawg ntawm qhov chaw yog kab yog kab ntsug. Nov yog yuav ua li cas:

• Kab kab kab rov tav nrog qhov kawg (-3, 4) thiab (5, 4) muaj qhov ntev ntawm 8 units. Koj tuaj yeem pom nws los ntawm kev suav qhov deb lossis los ntawm kev ntxiv qhov tseem ceeb ntawm x kev tswj hwm: | -3 | + | 5 | = 8

  

• Kab kab ntsug uas muaj qhov kawg (2, 0) thiab (2, 3) muaj qhov ntev ntawm 3 units. Koj tuaj yeem pom nws los ntawm kev suav qhov deb lossis ntxiv qhov muaj txiaj ntsig ntawm y-coordinate: | 0 | + | 3 | = 3

  

Kauj Ruam 3. Faib qhov ntev ntawm ntu ua ob

Tam sim no koj paub qhov ntev ntawm kab ntu, koj tuaj yeem faib nws los ntawm ob.

• 8/2 = 4

  

• 3/2 = 1, 5

  

Kauj Ruam 4. Xam tus nqi los ntawm txhua qhov kawg

Cov kauj ruam no yog qib kawg los nrhiav qhov kawg ntawm kab kab. Nov yog koj ua nws li cas:

• Txhawm rau nrhiav qhov nruab nrab ntawm cov ntsiab lus (-3, 4) thiab (5, 4), yooj yim txav 4 chav nyob ntawm sab laug lossis sab xis kom mus txog qhov nruab nrab ntawm kab kab. (-3, 4) tau hloov pauv los ntawm 4 chav ntawm nws txoj haujlwm x-ua haujlwm rau (1, 4). Koj tsis tas yuav hloov y-coordinate vim tias koj paub tias qhov nruab nrab yuav nyob rau tib yam y-coordinate raws li qhov kawg. Qhov nruab nrab ntawm (-3, 4) thiab (5, 4) yog (1, 4).

  

• Txhawm rau nrhiav qhov nruab nrab ntawm cov ntsiab lus (2, 0) thiab (2, 3), yooj yim txav 1.5 units los ntawm ob sab saum toj thiab hauv qab kom mus txog qhov nruab nrab ntawm kab kab. (2, 0) tau hloov pauv los ntawm 1,5 nws cov haujlwm y-coordinate rau (2, 1, 5). Koj tsis tas yuav hloov x-coordinates vim koj paub tias qhov nruab nrab yuav nyob ntawm x-coordinates tib yam li cov ntsiab lus kawg. Qhov nruab nrab ntawm (2, 0) thiab (2, 3) yog (2, 1, 5).