3 Txoj Hauv Kev Los Xam Xaj Thaj Chaw ntawm Polygon

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3 Txoj Hauv Kev Los Xam Xaj Thaj Chaw ntawm Polygon
3 Txoj Hauv Kev Los Xam Xaj Thaj Chaw ntawm Polygon

Video: 3 Txoj Hauv Kev Los Xam Xaj Thaj Chaw ntawm Polygon

Video: 3 Txoj Hauv Kev Los Xam Xaj Thaj Chaw ntawm Polygon
Video: Txoj kev ua laib thaum kawg tsis tshuav dab tsi 3/23/2023 2024, Tej zaum
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Xam thaj tsam ntawm ib lub duab plaub tuaj yeem yooj yim xws li nrhiav thaj tsam ntawm daim duab peb sab tsis tu ncua lossis nyuaj li nrhiav thaj tsam ntawm yim qhov chaw tsis xwm yeem. Yog tias koj xav paub yuav ua li cas thiaj nrhiav tau thaj tsam ntawm ib lub duab plaub, ua raws cov theem hauv qab no:

Kauj ruam

Txoj Kev 1 ntawm 3: Nrhiav thaj tsam ntawm Polygon Siv Apothem

Xam thaj tsam ntawm Polygon Kauj Ruam 1
Xam thaj tsam ntawm Polygon Kauj Ruam 1

Kauj Ruam 1. Sau cov mis kom pom thaj tsam ntawm cov duab

Txhawm rau nrhiav thaj tsam ntawm cov duab ntau ntau, txhua yam koj yuav tsum tau ua yog ua raws cov qauv yooj yim no: Cheeb tsam = 1/2 x sab ntev x apothem. Nov yog qhov nws txhais li cas:

  • Sab ntev = qhov sib npaug ntawm qhov ntev ntawm txhua sab
  • Apothem = txoj kab sib txuas sib txuas nruab nrab ntawm lub duab plaub mus rau nruab nrab ntawm ib sab.
Xam thaj tsam ntawm Polygon Kauj Ruam 2
Xam thaj tsam ntawm Polygon Kauj Ruam 2

Kauj Ruam 2. Nrhiav qhov apothem ntawm cov duab

Yog tias koj siv txoj hauv kev apothem, tom qab ntawv apothem yuav tsum muaj rau koj. Cia peb hais tias koj tab tom nrhiav thaj tsam ntawm lub dav hlau hexagonal uas muaj qhov ntev li ntawm 10√3.

Xam thaj tsam ntawm Polygon Kauj Ruam 3
Xam thaj tsam ntawm Polygon Kauj Ruam 3

Kauj Ruam 3. Nrhiav qhov ntev ntawm sab polygon

Yog tias koj tau pom sab ntev, tom qab ntawd koj yuav luag tiav, tab sis tej zaum tseem muaj qee yam uas koj yuav tsum tau ua. Yog tias tus nqi apothem muaj rau cov duab ntau ntau ib txwm yog li koj tuaj yeem siv nws los nrhiav sab ntev. Nov yog li cas:

  • Xav txog qhov muaj nuj nqis ntawm qhov apothem raws li "x√3" tus nqi ntawm 30-60-90 degree daim duab peb sab. Koj tuaj yeem kwv yees tus nqi no vim tias lub hexagon tau tsim los ntawm rau daim duab peb sab sib npaug. Lub apothem yuav faib lub dav hlau ua ob lub dav hlau sib npaug, yog li tsim ib daim duab peb sab nrog lub kaum sab xis ntsuas 30-60-90 degrees.
  • Koj paub tias sab sib txawv ntawm 60 degree lub kaum sab xis muaj qhov ntev = x√3, yog li sab sab sib luag ntawm 30 degree lub kaum sab xis yuav muaj qhov ntev = x, thiab sab rov qab rau 90 degree lub kaum sab xis yuav muaj qhov ntev = 2x. Yog tias 10√3 sawv cev rau "x√3," ces tus nqi x = 10.
  • Koj paub tias x = ib nrab qhov ntev ntawm sab hauv qab ntawm daim duab peb sab. Muab ob npaug rau tus nqi kom tau txais qhov ntev tag nrho. Yog li qhov ntev ntawm tag nrho daim duab peb sab yog 20. Muaj rau ntawm ob sab no nyob rau hauv lub hexagon, yog li sib npaug 20 x 6 kom tau txais sab ntev ntawm hexagonal 120.
Xam thaj tsam ntawm Polygon Kauj Ruam 4
Xam thaj tsam ntawm Polygon Kauj Ruam 4

Kauj Ruam 4. Plug tus nqi apothem rau hauv cov mis

Yog tias koj siv tus lej thaj tsam = 1/2 x sab ntev x apothem, tom qab ntawd koj tuaj yeem nkag 120 raws li sab ntev thiab 10√3 raws li tus nqi apothem. Tom qab ntawd tus qauv yuav zoo li no:

  • Luas = 1/2 x 120 x 10√3
  • Luas = 60 x 10√3
  • Luas = 600√3
Xam thaj tsam ntawm Polygon Kauj Ruam 5
Xam thaj tsam ntawm Polygon Kauj Ruam 5

Kauj Ruam 5. Ua kom yooj yim rau koj cov lus teb

Tej zaum koj yuav tsum tau qhia koj li hauv zauv zauv thiab tsis yog hauv paus hauv paus tus lej. Siv koj lub laij lej los nrhiav tus nqi ze rau 3 thiab muab sib npaug los ntawm 600. 3 x 600 = 1.039, 2. Nov yog koj cov lus teb kawg.

Txoj Kev 2 ntawm 3: Nrhiav thaj tsam ntawm Polygon Siv Lwm Cov Qauv

Xam thaj tsam ntawm Polygon Kauj Ruam 6
Xam thaj tsam ntawm Polygon Kauj Ruam 6

Kauj Ruam 1. Nrhiav thaj tsam ntawm daim duab peb sab

Yog tias koj xav nrhiav thaj tsam ntawm daim duab peb sab tsis tu ncua, txhua yam koj yuav tsum ua yog ua raws cov qauv no: Cheeb tsam = 1/2 x puag x qhov siab.

Yog tias koj muaj daim duab peb sab nrog lub hauv paus ntawm 10 thiab qhov siab ntawm 8, tom qab ntawd thaj tsam = 1/2 x 8 x 10, lossis 40

Xam thaj tsam ntawm Polygon Kauj Ruam 7
Xam thaj tsam ntawm Polygon Kauj Ruam 7

Kauj Ruam 2. Nrhiav thaj tsam ntawm lub xwmfab

Txhawm rau nrhiav thaj tsam ntawm ib lub xwmfab, sib npaug ob sab. Qhov no zoo ib yam li muab cov hauv paus los ntawm qhov siab ntawm ib lub xwmfab, vim tias lub hauv paus thiab qhov siab yog tib yam.

Yog tias lub xwmfab muaj 6 sab, ces nws thaj tsam yog 6 x 6, lossis 36

Xam thaj tsam ntawm Polygon Kauj Ruam 8
Xam thaj tsam ntawm Polygon Kauj Ruam 8

Kauj Ruam 3. Nrhiav thaj tsam ntawm daim duab plaub

Txhawm rau nrhiav thaj tsam ntawm daim duab plaub, muab qhov ntev los ntawm qhov dav.

Yog tias qhov ntev ntawm lub duab plaub yog 4 thiab qhov dav yog 3, tom qab ntawd thaj tsam ntawm lub duab plaub yog 4 x 3, lossis 12

Xam thaj tsam ntawm Polygon Kauj Ruam 9
Xam thaj tsam ntawm Polygon Kauj Ruam 9

Kauj Ruam 4. Nrhiav thaj tsam ntawm lub trapezoid

Txhawm rau nrhiav thaj tsam ntawm trapezoid, koj yuav tsum ua raws cov qauv hauv qab no: Cheeb tsam = [(puag 1 + puag 2) x qhov siab]/2.

Cia peb hais tias koj muaj trapezoid nrog cov hauv paus 6 thiab 8 thiab qhov siab ntawm 10. Tom qab ntawd thaj chaw yog [(6 + 8) x 10]/2, uas tuaj yeem yooj yim rau (14 x 10)/2, lossis 140/2 yog li thaj tsam yog 70

Txoj Kev 3 ntawm 3: Nrhiav Cheeb Tsam ntawm Qhov Tsis Txaus Polygon

Xam thaj tsam ntawm Polygon Kauj Ruam 10
Xam thaj tsam ntawm Polygon Kauj Ruam 10

Kauj Ruam 1. Sau cov kab ntawv ntawm cov duab tsis xwm yeem

Nws tuaj yeem txiav txim siab thaj tsam ntawm cov duab tsis xwm yeem yog tias koj paub kev tswj hwm ntawm txhua lub ces kaum.

Xam thaj tsam ntawm Polygon Kauj Ruam 11
Xam thaj tsam ntawm Polygon Kauj Ruam 11

Kauj Ruam 2. Tsim cov npe sib sau ua ke

Sau tus x thiab y qhov chaw ntawm txhua lub ces kaum ntawm lub duab plaub nyob rau hauv cov lus qhia rov qab. Rov hais dua qhov ua haujlwm ntawm thawj kis hauv qab ntawm koj daim ntawv teev npe.

Xam thaj tsam ntawm Polygon Kauj Ruam 12
Xam thaj tsam ntawm Polygon Kauj Ruam 12

Kauj Ruam 3. Muab tus nqi x sib koom ua ke ntawm txhua lub ntsiab lus los ntawm y-tus nqi ntawm lub ntsiab lus tom ntej

Ntxiv cov txiaj ntsig, uas yog 82.

Xam thaj tsam ntawm Polygon Kauj Ruam 13
Xam thaj tsam ntawm Polygon Kauj Ruam 13

Kauj Ruam 4. Muab y-tus nqi ntawm txhua tus taw tes los ua ke los ntawm x-tus nqi ntawm lub ntsiab lus tom ntej

Ib yam nkaus, ntxiv cov txiaj ntsig. Tus nqi tag nrho hauv qhov piv txwv no yog -38.

Xam thaj tsam ntawm Polygon Kauj Ruam 14
Xam thaj tsam ntawm Polygon Kauj Ruam 14

Kauj Ruam 5. Tshem tus nqi thib ob los ntawm tus nqi thawj

Rho tawm -38 los ntawm 82 kom 82 -(-38) = 120.

Xam thaj tsam ntawm Polygon Kauj Ruam 15
Xam thaj tsam ntawm Polygon Kauj Ruam 15

Kauj Ruam 6. Sib faib ob qhov kev nce nqi no kom tau txais thaj tsam ntawm cov duab

Faib 120 los ntawm 2 kom tau 60 thiab koj ua tiav.

Lub tswv yim

  • Yog tias koj sau cov npe teev nyob rau hauv clockwise ces koj yuav tau txais qhov txiaj ntsig tsis zoo. Yog li, txoj hauv kev no tuaj yeem siv los tshuaj xyuas qhov kev txiav txim ntawm cov npe ntawm cov ntsiab lus uas ua rau lub ntsej muag.
  • Cov mis no tuaj yeem suav thaj tsam nrog qee qhov kev qhia. Yog tias koj siv nws ntawm lub dav hlau qhov twg ob kab sib tshuam zoo li daim duab yim, koj yuav tau txais thaj tsam ib puag ncig nws rho tawm thaj tsam ntawm lub moos.

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