Ntsug thiab nyob ib sab ces kaum

Geometry - qhov no yog ib tug heev multi-ncau science. Nws muaj logic, tswv yim thiab txawj ntse. Ntawm cov hoob kawm, vim hais tias ntawm nws cov complexity thiab cov loj xov tooj ntawm theorems thiab axioms, nws tsis yog ib txwm zoo li schoolboys. Nyob rau hauv tas li ntawd, muaj ib tug xav rau lossi ua pov thawj lawv tshawb pom, siv common qauv thiab cov kev cai.

Uas nyob ib sab thiab ntsug ces kaum - yog ib feem geometry. Kuv paub hais tias muaj ntau yam cov tub ntxhais kawm cia li hlub lawv rau lub yog vim li cas hais tias lawv lub zog yog tseeb thiab yooj yim los ua pov thawj.

fab kev kawm ntawv

Tej lub tsim los ntawm cov kev tshuam ntawm ob txoj kab los sis ob txoj kev beams los ntawm ib tug taw tes. Tej zaum lawv yuav hu ua yog ib tug tib tsab ntawv los yog peb, uas yog sequentially xws point ntawm lub tsev ces kaum.

Ces kaum yog ntsuas nyob rau hauv degrees, thiab muaj peev xwm (nyob ntawm seb lawv tus nqi) txawv npe. Yog li, muaj yog ib txoj cai lub, ib tug mob, obtuse thiab deployed. Txhua lub npe raws li ib tug tej yam degree los yog kev ntsuas ntawm nws cov luv.

Hu ua mob lub, ib qho kev ntsuas uas tsis pub tshaj 90 degrees.

Nws yog ib qho obtuse angle ntau dua 90 degrees.

Lub hu ua ncaj nyob rau hauv lub rooj plaub thaum nws yog 90 degree ntsuas.

Nyob rau hauv lub rooj plaub uas nws yog tsim los ntawm ib tug tas mus li kab, thiab nws cov degree ntsuas yog sib npaug zos rau 180, nws yog hu ua unfolded.

uas nyob ib sab ces kaum

Ces kaum muaj ib qho sab, ib tug thib ob sab uas tseem ib leeg yog ib nyob ib sab. Lawv yuav ua tau ob qho tib si ntse thiab blunt. Cov kev tshuam ntawm ncaj lub kab tas ib contiguous cov ces kaum. Lawv lub zog yog raws li nram no:

1. Lub sum ntawm cov ces kaum sib npaug 180 degrees (muaj yog ib tug theorem tseeb tiag nws). Yog li ntawd, peb yuav tau yooj yim xam ib tug ntawm lawv, yog tias koj paub rau lwm yam.
2. Los ntawm cov thawj pawg lus uas nyob ib sab ntawm cov ces kaum muaj peev xwm yuav tsim nyob rau ntawm ob tug blunt los yog ob tug mob ces kaum.

Vim hais tias ntawm cov zog, nws yog ib txwm tau mus laij tau qhov kev ntsuas-degree angle, muaj ib tug nqi ntawm lwm lub los yog, yam tsawg kawg, tus piv ntawm lawv.

ntsug cov ces kaum

Fab, sab ntawm uas yog extensions ntawm txhua lwm yam yog hu ua cov ntsug. Raws li xws li ib tug khub tej zaum yuav ua ib yam ntawm lawv ntau yam. Vertical ces kaum yeej ib txwm sib npaug zos rau txhua lwm yam.

Lawv tsim ntawm cov kev tshuam ntawm cov kab. Ua ke nrog cov yeej ib txwm tam sim no thiab nyob ib sab ces kaum. Lub kaum tej zaum yuav ib txhij nyob ib sab mus rau ib lwm thiab ntsug.

Ntawm cov kev tshuam ntawm thaum uas tig mus kab ntawm ib tug arbitrary kab kuj xav tias yuav ob peb hom ces kaum. Qhov no kab yog hu ua tus txiav, thiab nws cov ntaub ntawv lub duas paub unilateral thiab tus ntoo khaub lig dag ces kaum. Lawv yog cov sib npaug. Lawv yuav pom nyob rau hauv lub teeb ntawm lub zog, uas yog ntsug thiab nyob ib sab ces kaum.

Yog li, lub ces kaum ntawm lub npe yog heev yooj yooj yim thiab meej. Tag nrho lawv lub zog yog ib qho yooj yim uas yuav tau nco thiab los ua pov thawj. Daws teeb meem yog tsis yooj yim li ntev raws li lub ces kaum raws li ib tug numeric tus nqi. Twb tau nyob rau thaum yuav pib kev kawm txog cov kev txhaum thiab cos, koj yuav tsum nco ntsoov ntau complex qauv, lawv cov lus xaus thiab txim. Kom txog thaum uas lub sij hawm, koj muaj peev xwm tsuas txaus siab rau ib tug teeb puzzles, uas yuav tsum tau mus nrhiav tau cov uas nyob ib sab ntawm cov ces kaum.