Yuav ua li cas nrhiav tau ib tug duab square nrhiav

Muaj ib txhis tus naj npawb ntawm dav hlau nuj nqis ntawm ntau yam nrhiav raws li txoj cai thiab tsis ncaj ncees lawm. Cov hom khoom teejtug uas yog tag nrho rau daim - txhua yam uas lawv muaj thaj tsam. Square nrhiav - yog qhov loj ntawm lub dav hlau nyob los ntawm cov nuj nqis, hais nyob rau hauv tej yam units. Qhov no tus nqi yog yeej ib txwm qhia los ntawm ib tug zoo xov tooj. Lub tsev ntawm kev ntsuas yog lub cheeb tsam ntawm lub square, nws sab ntev yog sib npaug zos rau ib tug (e.g., ib 'meter' los yog ib tug centimeter). Approximate cheeb tsam ntawm yam zoo yuav muab xam tus naj npawb ntawm chav tsev squares rau hauv uas nws yog muab faib rau cov cheeb tsam ntawm ib tug square.

Lwm yam ntsiab txhais ntawm lub tswvyim raws li nram no:

1. Square yooj yim nrhiav - scalar zoo qhov tseem ceeb satisfying tej yam kev mob:

- muaj sib npaug zos daim - sib npaug zos rau cov nqi ntawm cov cheeb tsam;

- yog hais tias hauv daim duab yog muab faib mus rau hauv qhov chaw (tej yam yooj yim cov nuj nqis), nws cheeb tsam - lub sum ntawm plaub fab ntawm cov ntaub ntawv daim;

- ib tug square muaj ib tug sab ntawm lub tsev, yog ib chav tsev cheeb tsam.

2. Square complex zoo nrhiav (polygons) - zoo qhov tseem ceeb muaj lub zog:

- muaj sib npaug zos uas - tib yam qhov tseem ceeb ntawm lub cheeb tsam;

- yog hais tias tus polygon yog ib tug ob peb lwm uas nrog rau ib cheeb tsam sib npaug zos rau cov sum ntawm lub xeem qhov chaw. Qhov no txoj cai tuas muaj tseeb rau cov uas tsis-overlapping uas.

Raws li ib tug txais axiom daim ntawv qhia tias shapes lub cheeb tsam (polygons) - zoo qhov tseem ceeb.

Txiav txim rau lub cheeb tsam ntawm ib lub voj voog yog muab nyias lub ntau nrhiav los ntawm lub cheeb tsam ntawm ib lub polygon inscribed nyob rau hauv ib lub voj voog ntawm lub voj voog - txawm lub fact tias lub xov tooj ntawm nws cov sab nyhav infinity.

Square daim lus zoo (arbitrary nrhiav) tsis muaj txhais xwb txiav txim los ntawm lawv txoj kev xam.

Muab xam los ntawm lub cheeb tsam nyob rau hauv ancient lub sij hawm yog ib qho tseem ceeb uas ua tau teeb meem nyob rau hauv kev txiav txim qhov luaj li cas ntawm daim av. Cov kev cai rau xam cov cheeb tsam ntawm ib tug ob peb puas xyoo BC, tau formulated los ntawm lub Greek zaum thiab piav nyob rau hauv lub "Hais" ntawm Euclid li theorems. Interestingly, cov kev cai rau kev txiav txim rau tej thaj chaw uas yooj yim nrhiav nyob rau hauv lawv - tib yam li tam sim no. Squares geometric duab muaj ib tug nkhaus contour, xam siv cov kev txwv.

Muab xam rau ntawm qhov chaw uas yooj yim nrhiav (daim duab peb sab, duab plaub, square), paub rau tag nrho cov los ntawm tsev kawm ntawv, cia li txaus. Optionally muaj txawm cim tsab ntawv designations mis nuj nqis chaw. Suffice nws yuav tsum nco ntsoov ib tug ob peb yam yooj yim cov kev cai:

1. Yuav kom xam lub cheeb tsam ntawm lub square, nws yog tsim nyog los muab qhov ntev sab ntawm nws tus kheej (los yog tsim nyob rau hauv lub thib ob degree).

2. Lub cheeb tsam ntawm ib tug duab plaub yuav muab xam qhov ntev ntawm lub dav. Nws yog tsim nyog tias qhov ntev thiab dav tau qhia nyob rau hauv tib lub chav nyob.

3. Tus thaj tsam ntawm ib tug complex daim duab yog xam los mus faib nws mus rau hauv ob peb yam yooj yim thiab ntxiv lub resulting cheeb tsam.

4. Qhov luaj li cas ntawm ib tug duab plaub faib nws mus rau hauv ob cov vajvoos peb sab uas nws qhov chaw yog muaj sib npaug thiab yog muaj sib npaug mus rau ib nrab ntawm nws cheeb tsam.

5. Lub cheeb tsam ntawm ib tug peb tog yog xam raws li ib nrab ntawm cov khoom ntawm nws qhov siab thiab ib lub hauv paus.

6. Qhov chaw ntawm ib lub voj voog yog sib npaug zos rau cov khoom ntawm lub square ntawm lub voos kheej-kheej ntawm tag nrho cov yam tus naj npawb ntawm «π».

7. xam lub cheeb tsam ntawm lub parallelogram li cov khoom ntawm ib sab sab thiab lub sine ntawm lub kaum sab xis dag nruab nrab ntawm lawv.

8. Cheeb Tsam ntawm ib tug rhombus - ½ ntawm txawj cov sine ntawm lub diagonals ntawm lub sab hauv lub.

9. Lub cheeb tsam ntawm lub Trapezoid nrhiav txawj nws qhov siab nyob rau hauv lub centerline ntev uas yog ncaj rau tus xam phem ntawm lub bases. Lwm embodiment ntawm lub ntsiab txhais cheeb tsam ntawm lub Trapezoid - muab cov matrix kab pheeb ces kaum thiab qhov ntswg lub dag nruab nrab ntawm lawv.

Cov me nyuam nyob rau hauv tsev kawm ntawv, rau clarity, feem ntau muab kev pab raws qib: mus nrhiav qhov chaw twv rau ntawm daim ntawv rho siv pallets los yog daim ntawv ntawm pob tshab daim ntawv ntawm bordered rau lub hlwb. Tej daim ntawv yog superimposed on lub measured zoo yog suav tias yog lub xov tooj ntawm tag nrho cov hlwb (units ntawm cheeb tsam), muab nws nyob rau hauv lub voj, ces tus nab npawb ntawm cov ua tsis tiav, uas yog muab faib nyob rau hauv ib nrab.