Mene ne fasali a ilimin lissafi? Definition da Misalai

Fahimci abin da fasali a ilmin lissafi, shi wajibi ne su ci gaba da koyi da asali da kuma ci-gaba batutuwa na aljabara, lissafi. Yana da muhimmanci ga fahimtar da zane, gine-gine, dokoki na yi zane-zane. Duk da dangantaka ta kusa da mafi daidai kimiyya - lissafi, fasali da muhimmanci ga 'yan wasan kwaikwayo, artists, halittawa, da kuma ga wadanda suka tsunduma a gudanar da bincike ayyuka, kuma a kowane filin.

janar bayanai

Ba kawai lissafi, amma kuma a kimiyyar yanayin halitta ana fi mayar dangane da manufar fasali. Haka kuma, shi da aka samu a rayuwar yau da kullum, shi ne daya daga cikin muhimman yanayin mu na sararin samaniya. Binciken abin da yake fasali a ilmin lissafi, shi wajibi ne in ambaci cewa akwai da dama iri wannan sabon abu. Don magana game da wadannan zažužžukan:

• Bangarorin, cewa shi ne, kamar madubi fasali. Wannan sabon abu a cikin kimiyya yanayi, fiye da ake kira "tsakanin".
• Al-rated akai. Domin wannan ra'ayi key sabon abu - mai juyawa kwana lasafta rabo na 360 digiri a wani qaddara darajar. Bugu da kari, pre-tsare axis game da juyawa ya auku.
• Padialnaya lokacin da fasali sabon abu lura idan yi siddan ya jũya a kan wasu bazuwar most kwana. Axis ne ma zaba a wani m hanya. Don bayyana wannan sabon abu tambaya SO kungiyar (2).
• Mai siffar zobe. A wannan yanayin da muke magana ne game da uku girma, a cikin abin da abu yana juya su, da zabar sabani kusassari. Ware musamman idan akwai isotropic, a lokacin da sabon abu ya zama wani gida peculiar yanayi ko sarari.
• Rotational, hada biyu baya aka bayyana kungiyoyin.
• Lorentz invariativnaya idan akwai sabani juyawa. Domin irin wannan fasali na key ra'ayi zama "Minkowski sarari-lokaci."
• Super, a tsare a matsayin canji na bosons, fermions.
• Higher gano a lokacin kungiyar bincike.
• A auka, a lokacin da akwai canje-canje na sarari, ga abin da masana kimiyya gane da shugabanci, nesa. A kan tushen da data samu da za su gudanar da wani kamanta analysis cewa bayyanãwa fasali.
• K lura a cikin hali na wani ma'auni ka'idar 'yancin kai a cikin daidai-canje. A nan, musamman hankali ne ya biya zuwa ka'idar daban, ciki har da mayar da hankali a kan Yang-Mills ideas.
• Kayinu, na ga aji na electron jeri. Wannan shi ne irin wannan fasali, lissafi (Grade 6) yana da wani ra'ayin, domin shi ne kimiyya daga cikin mafi girma domin. A sabon abu ne ya sa ta secondary mita. Yana da aka gano a lokacin da bincike E. Biron. Terminology C. Shchukarev gabatar.

madubi

Duk da yake karatu a makaranta dalibai kusan ko da yaushe tambaye su yi aiki "fasali kewaye da mu" (ilimin lissafi aikin). Matsayin mai mulkin, shi ne shawarar da wani sashe a cikin shida sa na yau da kullum makaranta tare da general shirin na koyarwa batutuwa. Don jimre da aikin, dole ne ka farko zama saba da manufar fasali, musamman, don gano abin da yake a madubi irin matsayin daya daga cikin asali da kuma mafi yaro-friendly.

Don gane yanayin fasali dauke musamman na lissafi siffar, da kuma jirgin sama da aka zaba. Lokacin da mutane magana game da fasali na abu? Na farko, shi ne aka zaba a batu, sa'an nan an nuna su da shi. Tsakanin su biyu ciyar kashi da kuma lissafi da kwana a wanda a baya ya zaba jirgin sama shi ya wuce.

Binciken abin da yake fasali a ilmin lissafi, ka tuna cewa zaba domin ganewa na wannan sabon abu za a kira su da jirgin sama ne fasali jirgin sama kuma bã kõme ba. Aka gudanar da kashi dole ne rarraba shi a dama kusassari. A nesa daga wani batu da wannan jirgin sama da kuma daga aya zuwa na biyu kashi ya zama daidai.

nuances

Abin da kuma zai iya zama da ban sha'awa mu san, nazarin sabon abu na fasali? LISSAFI (Grade 6) ya gaya mana cewa biyu Figures suna dauke daidaita, ba dole ba ne m da juna. A ra'ayi na daidaici wanzu a cikin kunkuntar da kuma m ji. Saboda haka, tsakaitã abubuwa a cikin kunkuntar - ba abu guda.

Mene ne wani misali na rayuwa zai sa mu? Elemetarny! Me kuke tunani game da mu safar hannu, mittens? Mu ne duk da amfani ga ci su, kuma mun san cewa ba za ka iya rasa, saboda wani biyu daya a cikin biyu ne ba ya karba, sa'an nan da saya biyu sake. Kuma me ya sa? Saboda guda biyu kayayyakin, ko da yake tsakaitã, amma tsara don bar da hannun dãma. Wannan shi ne - wani misali ne a madubi fasali. Game da daidaici, irin wuraren gane "madubi-daidai."

Kuma abin da game da cibiyar?

Dauke tsakiyar fasali fara da fassara da kaddarorin na jiki, dangane da wanda wajibi ne a kimanta da sabon abu. Domin kira shi da wani tsakaitã, wani batu na farko zaba, a tsakiya located. Next zaba maki (bari kira shi A) da kuma neman biyu (conventionally denoted E) domin shi.

A kayyade fasali na da maki A da kuma E suna juna ta mike line, da m batu na tsakiyar jiki. Next, auna sakamakon line. Idan wani line daga batu A zuwa tsakiyar abu ne daidaita da tazara raba da cibiyar daga batu E, muna iya cewa cibiyar fasali da aka samu. A tsakiyar fasali a ilmin lissafi - daya daga cikin key Concepts cewa ba da damar ci gaba da bunkasa da ka'idar lissafi.

Kuma idan kun juya?

Binciken abin da yake fasali a ilmin lissafi, wanda zai iya ba miss hankalin manufar rotational subtype wannan sabon abu. Domin fahimtar sharuddan, shan a jiki da ciwon tsakiyar aya, da kuma ayyana lamba.

A lokacin gwaji, jiki da aka juya su da wani qaddara kwana daidaita da sakamakon da rarraba 360 digiri a wani zabi kudi. Don yin wannan, dole ne ka san abin da yake cikin axis of fasali (2 aji, ilimin lissafi, makaranta shirin). Wannan axis - da layi a haɗa da biyu zaban maki. A juyawa fasali iya ce, idan a zaba kwana na juyawa na jiki za su kasance a cikin wannan wuri kamar yadda kafin jan.

A cikin akwati inda halitta lamba 2 da aka zaba, da kuma gano sabon abu na fasali ce cewa axial fasali aka bayyana a cikin ilmin lissafi. Wannan shi ne halayyar mai yawan Figures. A misali: a alwatika.

Game da misalai fiye da

A yi na shekaru masu yawa na koyar da lissafi da kuma lissafi, a makarantar sakandare nuna cewa mafi sauki hanyar fahimtar sabon abu na fasali, bayyana shi tare da takamaiman misalai.

Da farko, ka yi la'akari da ikon yinsa,. Domin irin wannan jiki a lokaci guda halin da sabon abu na fasali:

• cibiyar.
• madubi.
• rotational.

A matsayin babban batu da za a zaba, located daidai a cikin cibiyar adadi. Don karba da wani jirgin saman da aka ayyana ta manyan da'irar, kuma da jũna a zama "yanka" shi a cikin yadudduka. Menene ilimin lissafi? Juya da kuma tsakiyar fasali a cikin hali na wani ball - Concepts da alaka da diamita na Figures za su bauta a matsayin axis ga sabon abu.

Wani tabbataccen misali - a madauwari mazugi. Domin wannan siffar muhimmi axial fasali. A ilmin lissafi da kuma gine na wannan sabon abu da aka tartsatsi ne msar tambayar da m aikace-aikace. Lura: matsayin axis ga sabon abu daga ayyukan da mazugi axis.

Yana nuna karatu sabon abu Prism. Wannan adadi ne halayyar madubi fasali. Jirgin Saman zabi "yanke", a layi daya zuwa ga sansanin adadi, m daga gare su a yau da kullum jinkiri. Samar da lissafi, siffatawa, gine-gine da zane (ilimin lissafi fasali yana da muhimmanci, ba kasa da yake daidai da kuma siffatawa sciences), ka tuna da m applicability da amfaninta a cikin shiryawa load-hali abubuwa na specular effects.

Kuma idan more ban sha'awa siffofi?

Abin da za mu iya gaya ilimin lissafi (Grade 6)? Jamhuriyar fasali ba kawai a cikin sauki da kuma m abu, kamar wani balan-balan. Shi ne peculiar, kuma mafi ban sha'awa da kuma hadadden siffofi. Alal misali, wannan ne parallelogram. Domin irin wannan abu ya zama tsakiyar batu na daya a cikin abin da suka haye diagonal.

Amma idan muka yi la'akari da isosceles trapezoid, shi zai zama wani adadi da axial fasali. Gane shi zai iya zama a cikin wannan hali, idan ka zaɓi dama axis. The jiki ne tsakaitã game da wani layin perpendicular zuwa ga ƙasa, kuma wucewa ta hanyar da shi daidai a tsakiyar.

Fasali a ilmin lissafi da kuma gine dole ne la'akari da lu'u-lu'u. Wannan adadi ne na ƙwarai cewa lokaci guda hadawa iri biyu fasali:

• centerline.
• tsakiyar.

Kamar yadda axis na diagonal dole ne ka zaɓa da abu. A wurin da diagonals na wani rhombus rarraba, shi ne a cibiyar na fasali.

Game da kyakkyawa da fasali

Ulla wani lissafi aikin, da fasali na wanda zai zama wani key topic, yawanci a farko wuri tuna da hikima kalmomi na babban masanin kimiyya Weil: "fasali - wani ra'ayin wanda a karnoni na kokarin fahimtar kowa mutum, saboda shi ne ta ke Halicci m kyakkyawa ta musamman domin."

Kamar yadda ka sani, da sauran abubuwa ze zama mafi kyau, yayin da wasu tura tafi, har ma idan ba su da bayyane flaws. Me ya sa wannan magana? Amsar wannan tambaya ya nuna dangantakar gine da kuma lissafi, a fasali, domin shi ne wannan sabon abu da kuma zama tushen kima na magana kamar yadda aesthetically m.

Daya daga cikin mafi kyau mata a duniya - shi ke da supermodel goge Tarlikton. Ta shi ne tabbatar da cewa nasarar da ya zo da fari godiya ga wani musamman sabon abu: ta lebe ne tsakaitã.

Kamar yadda aka sani, yanayi da kuma o ƙarin fasali, da kuma ba zai iya kaiwa gare shi ba. Yana ba da janar mulki, amma dubi mutanen da ke kewaye da su: a cikin mutum fuskoki kusan ba su sami cikakkar fasali, ko da yake yana bayyana sha'awar shi. A mafi tsakaitã fuskar interlocutor, don haka shi ya dubi mafi alhẽri.

Yadda aka ra'ayin fasali na kyau

Yana mamaki cewa a cikin fasali na mutum ji da kyau tushen da kewaye da kuma abubuwa a cikinsa. Ga mutane da yawa ƙarni, mutane sukan fahimci abin da alama cikakke, da kuma iskar da take tura nuna rashin bambanci.

The fasali, rabbai - wancan ne abin da taimaka wajen gani gane wani abu da kuma tantance shi gaskiya ma. Duk abubuwa, sassan kasance daidaita da a cikin m rabbai tare da juna. An dade an gano cewa, asymmetric abubuwa kamar mutane da yawa kasa. Duk wannan yana da nasaba da manufar "jituwa". Game da dalilin da ya sa yana da muhimmanci ga wani mutum tare da tsoho dogon girgiza sages, artists.

Ya kamata dubi lissafi Figures, da kuma sabon abu na fasali zai zama a bayyane da kuma sauki fahimta. A mafi hankula tsakaitã mamaki a kewaye yankin:

• kankara.
• furanni da kuma ganyen shuke-shuke.
• guda biyu m gabobin muhimmi a cikin rayayyun kwayoyin halitta.

The bayyana mamaki suna da tushen da yanayi. Kuma a nan shi ne abin da za ka iya gani fasali, neman kusanta ga kayayyakin da hannun ɗan adam? Shi ne m cewa mutane gravitate ga halittar kawai daya idan kokarin yin wani abu da kyau, ko kuma aikin (ko duka biyu ne, kuma shi ne a lokaci guda):

• alamu da ado, m tun zamanin da.
• gini abubuwa.
• yi abubuwa Kai.
• needlework.

game da terminology

"Fasali" - kalmar zo a cikin mu harshe daga zamanin d Helenawa wanda farko amfani da wannan sabon abu da hankali da kuma kokarin gano shi. A lokaci nuna kasancewar wani tsarin da jitu hade sassa na žarfe. Translation of kalmar "fasali", za ka iya karba a matsayin ma'ana:

• proportionality.
• sameness.
• proportionality.

Tun zamanin da fasali ne wani muhimmin ra'ayi domin ci gaban na 'yan adam a fannoni daban daban da kuma masana'antu. Peoples daga tsufa to da na kowa fahimtar wannan sabon abu, yafi la'akari da shi broadly. Fasali tsaya ga jituwa da sikẽli. A zamaninmu, da terminology aka sanar a talakawa makarantu. Alal misali, abin da yake cikin axis of fasali (2 aji lissafi) yara malami tattaunawa da al'ada aji.

Kamar yadda da ra'ayin wannan sabon abu ne sau da yawa na farko wa'adin kimiyya shiriritar da kuma ra'ayoyinsa. Musamman rare da aka a baya karni, a lokacin da a duk faɗin duniya mamaye da ra'ayin ilmin lissafi jituwa muhimmi a cikin sosai tsarin talikai. Connoisseurs daga waɗanda sau aka gamsu da cewa fasali na bayyana allahntaka jituwa. Amma a zamanin tsohuwar Girka, da masana falsafa da ya yi da'awar cewa gaba dayan duniya ne tsakaitã, kuma shi ke duka dogara ne a kan hakan: "The fasali yake cikakke."

Great Helenawa da fasali

Fasali kora zukatan daga cikin shahararrun malaman zamanin tsohuwar Girka. Don sun tsira shaida da cewa Plato kira raba ganin darajarsa yau da kullum polyhedra. A nasa ra'ayin, irin Figures - a personification daga cikin abubuwa na mu duniya. Akwai da wadannan rarrabuwa:

kashi	adadi
wuta	Tetrahedron, a matsayin pinnacle na manufofin skyward.
ruwa	Icosahedron. Zabi ne saboda "katuchestyu" adadi.
iska	Octahedron.
duniya	A mafi barga abu, shi ne shigen sukari.
duniya	Dodecahedron.

Sun fi mayar saboda wannan ka'idar yawanci kira yau da kullum polyhedra Platonic daskararru.

Amma da terminology gabatar a baya, da kuma a can ne ba na karshe rawa da sculptor Polycleitus.

Pythagoras da kuma fasali

A lokacin da rayuwar Pythagoras da kuma daga baya, a lokacin da ya koyar da aka fuskantar Yuan, sabon abu na fasali kasa fitowa karara. An sa'an nan hõre kimiyya bincike na fasali, wanda ya ba da muhimmanci kan m aikace-aikace na da sakamakon.

Bisa ga karshe:

• Fasali dogara ne a kan Concepts na gwargwado, uniformity da kuma daidaito. A hali na take hakkin wani ra'ayi zama kasa tsakaitã adadi, hankali motsi zuwa cikakken asymmetric.
• Akwai 10 nau'i-nau'i daga adawa. Bisa ga koyarwar, da fasali ne sabon abu wanda rage a gaban uniform kuma, da ita kafa duniya a matsayin dukan. Wannan hakan ga ƙarni da wani karfi da tasiri a kan wani adadin daidai sciences, kazalika da falsafa, kazalika da na halitta.

Pythagoras da kuma mabiyansa aka ware "gaba daya tsakaitã jiki," wanda ranked a matsayin gamsarwa da yanayi:

• kowane fuska - polygon.
• fuskoki dabam-dabam samu a cikin sasanninta.
• adadi ya kamata da daidaita bangarorin da kusassari.

Yana da aka Pythagoras na farko da cewa, wadanda jikinsu akwai kawai biyar. Wannan shi ne babban samu alama farkon lissafi da kuma yana da muhimmanci ga zamani gine.

Kuma kana so ka shaida mafi kyau sabon abu na fasali? Kama wani Snowflake hunturu. M amma gaskiya - shi ne wani kankanin yanki na kankara fadowa daga sama ba kawai musamman hadaddun crystal tsarin, amma kuma daidai tsakaitã. La'akari da shi a hankali: Snowflake ne da gaske da kyau, kuma ta nagartaccen Lines fascinate.