Izibalo zeMicrosoft? ithuluzi elihle lomfundi (2)
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Izibalo zeMicrosoft? ithuluzi elihle lomfundi (2)

Siyaqhubeka nokufunda indlela yokusebenzisa okuhle kakhulu (Ngiyakukhumbuza: mahhala kunguqulo 4) Uhlelo lwe-Microsoft Mathematics. Sizovuma ukuthi ngamafuphi sizoyibiza nje ngoMM.

Inohlonze impela ? futhi ukhululekile? umsebenzi wohlelo yikhono lokusebenzisa ezinye “ezenziwe ngomumo”. Kuthebhu "Amafomula Nezibalo"? kunohlu lwamafomula kanye nezibalo ingane yesikole okwake kwadingeka iyazi ngekhanda. Futhi namuhla lezi yizixhumanisi ezifanele ukwazi, kodwa uma usebenzisa i-MM akudingeki ukuba zisuswe enkumbulweni (okungadala iphutha, isibonelo, ngenxa yokucindezela ukhiye ongalungile). Zonke sezimi ngomumo. Uma uchofoza ithebhu eshiwo, uhlu lwamafomula luzovuleka, luhlukaniswe ngamaqembu: I-Algebra, iJiyomethri, i-Trigonometry, i-Physics, iKhemistry, Imithetho yabachazi, Izakhiwo zama-logarithms nama-Constant (i-Algebra, iJiyomethri, i-Physics, iKhemistry, umthetho we-Exponential, Izici ze-logarithms). kanye nama-constants). Isibonelo, ake sivule iqembu le-Algebra. Sizobona amaphethini athile; khetha eyokuqala, lena ifomula yezimpande ze-quadratic equation. Nansi ifomula:

Ukuchofoza kwesokudla kuyo (noma yimuphi omunye) kuzovula imenyu yokuqukethwe okuncane; iqukethe umyalo owodwa, emibili noma emithathu: kopisha, yakha futhi uxazulule. Esimweni sethu, kunemiyalo emibili: kopisha futhi ubhapathize; ukukopisha kusetshenziselwa ukwethula (usebenzisa umyalo wokunamathisela, yebo) ithempulethi ekhethiwe emsebenzini obhaliwe. Masisebenzise umyalo wesakhiwo ("Yakha lesi sibalo?"). Nasi isikrini somphumela (isibalo sinqunyelwe engxenyeni esebenzayo): Ngakwesokudla, sinegrafu ye-quadratic equation ngendlela evamile, isixazululo esichazwa yifomula esiyisebenzisile. Ohlangothini lwesokunxele (ibhokisi elizungezwe ngokubomvu) manje sesinezici ezimbili ezithakazelisayo: Trace and Animate.

Ukusebenzisa eyokuqala kuzohambisa iphuzu kuyo yonke igrafu, kodwa sisazobona ?efwini? amanani angempela ezixhumanisi ezihambisanayo. Impela, singamisa ukugqwayiza kokulandela noma kunini. Emkhakheni wegrafu, sizobona into efana nale:

Ithuluzi le-Animate likuvumela ukuthi uthole imiphumela enentshisekelo kakhulu. Sicela uqaphele ukuthi ekuqaleni ohlwini olubonakalayo lokudonsela phansi sinepharamitha a (kokuthathu esibalweni: a, b, c) futhi eduze kwaso isilayidi esincane sibonisa inani 1. Ngaphandle kokushintsha ukukhetha kwepharamitha, bamba isilayidi ngekhesa bese usihambisa kwesokunxele noma kwesokudla; sizobona ukuthi igrafu ye-quadratic equation ishintsha umumo wayo kuye ngevelu lika-a. Ukuqala ukugqwayiza ngenkinobho yokudlala eyaziwayo kuzoba nomphumela ofanayo, kodwa manje ikhompuyutha izosenzela wonke umsebenzi wokusethela isilayidi. Kunjalo, ithuluzi elichaziwe liyithuluzi elikahle lokuxoxa ngesifundo sokuhlukahluka komsebenzi we-quadratic. Ungakwazi ? ngehaba elithile? bathi isinika lonke ulwazi mayelana nonxantathu abayizikwele "kuthebhulethi" eyodwa emfushane.

Ngimema abafundi ngokwabo ukuthi benze imizamo efanayo yokusebenzisa amanye amafomula avela eqenjini lamafomula e-algebraic. Kuyaphawuleka kuphela ukuthi kuleli qembu singathola amafomula ahlobene nejometri yokuhlaziya? isibonelo, ngokubalwa kwamanani athile ahlotshaniswa ne-sphere, i-ellipse, i-parabola noma i-hyperbola. Amanye amafomula ahlobene nejometri kufanele atholakale ngokwemvelo eqenjini leJiyomethri; kungani ababhali bohlelo bebeke ingxenye lapha futhi ingxenye lapho? imfihlo yabo emnandi?

Amafomula ku-physics naku-chemistry nawo awusizo kakhulu, akuvumela ukuthi wenze izibalo ezihlukahlukene ezihlobene nalezi sayensi ngosizo lwe-MM. Ukhona kanjani umuntu onelaptop noma i-netbook etholakala kalula (futhi afundise nothisha ongajwayelekile?)? ngohlelo lwe-MM olulayishwe kule divayisi, akufanele yini esabe noma yiziphi izivivinyo ezivela kusayensi eqondile? Awu, kuthiwani ngomsebenzi wesikole? injabulo ngokwayo.

Ake sidlulele ethuluzini elilandelayo, elisetshenziswa kuphela ukufunda onxantathu. Impela lapha: Ngemva kokuchofoza endaweni ekhonjiwe, iwindi le-Triangle Solver elihluke ngokuphelele lizovuleka:

Endaweni emakwe ngomcibisholo obomvu, sinebhokisi lokudonsela phansi elinezinketho ezintathu esingakhetha kuzo; sihlala siqala kweyokuqala, sifaka amanani amathathu kwayisithupha ezinkambini ezihambisanayo (izinhlangothi a, b, c noma ama-engeli A, B, C?, ngokuzenzakalelayo ngesilinganiso se-radial). Ngemva kokufaka le datha, sizobona umdwebo kanxantathu ohambisanayo phezulu uma sikhetha amanani angahambisani nanoma yimuphi unxantathu okhona? kuzovela isexwayiso sephutha.

Ngokusebenzisa uhlu olwehliswayo olushiwo kule ndawo, sizothola (okhethweni lwesibili) ukuthi yimuphi unxantathu esiwakhile - unxande, i-angular, njll.? kusukela kwesithathu sithola idatha yezinombolo ezindaweni eziphakeme kulo nxantathu nasendaweni yawo.

Ithebhu yokugcina etholakala kuribhoni Yasekhaya Isiguquli Seyunithi, okungukuthi isiguquli seyunithi nesilinganiso.

Inikeza ithuluzi elilandelayo:

Ukusebenza ngaleli thuluzi kulula kakhulu. Okokuqala, kusukela kumenyu yokudonsela phansi ephezulu, khetha uhlobo lweyunithi (lapha Ubude, okungukuthi ubude), bese ezinkambuni zokudonsela phansi eziphansi usethe amagama amayunithi azoguqulwa? uthi izinyawo namasentimitha? Ekugcineni, efasiteleni elithi "Okokufaka", sifaka inani elithile, futhi efasiteleni elithi "Okukhiphayo", ngemva kokucindezela inkinobho ethi "bala", sithola umphumela oyifunayo. I-Trite, kodwa iwusizo kakhulu, ikakhulukazi ku-physics. Esikhathini esizayo ? ngamakhono e-MM athuthuke kakhudlwana.

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