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Yuav ua li cas koj nrhiav tau orthogonal trajectories ntawm tsev neeg ntawm curves?
Yuav ua li cas koj nrhiav tau orthogonal trajectories ntawm tsev neeg ntawm curves?

Video: Yuav ua li cas koj nrhiav tau orthogonal trajectories ntawm tsev neeg ntawm curves?

Video: Yuav ua li cas koj nrhiav tau orthogonal trajectories ntawm tsev neeg ntawm curves?
Video: Vim li cas koj lub neej thiaj li tsis txawj muaj nyiaj yog ua cas? ( How to Change your life) 2024, Kaum ib hlis
Anonim

Lub algorithm suav nrog cov kauj ruam hauv qab no:

  1. Tsim cov kab zauv sib txawv G(x, y, y′) = 0 rau qhov muab tsev neeg ntawm nkhaus g(x, y) = C.
  2. Hloov y′ nrog (−1y′) hauv qhov sib npaug sib txawv.
  3. Kev daws qhov sib txawv tshiab los txiav txim siab qhov sib npaug ntawm algebraic tsev neeg ntawm orthogonal trajectories f(x, y) = C.

Dhau li ntawm no, dab tsi yog orthogonal trajectory hauv lej?

Orthogonal trajectory . lej . Orthogonal trajectory , tsev neeg ntawm nkhaus uas hla lwm tsev neeg ntawm nkhaus ntawm txoj cai kaum ( orthogonal ; saib daim duab).

Ib yam li ntawd, lub hnab ntawv nkhaus yog dab tsi? Teb rau lub Kaum Ob Hlis 2, 2018. Ib hnab ntawv ntawm ib tsev neeg ntawm nkhaus hauv lub dav hlau yog a nkhaus uas hu ua lub hnab ntawv nkhaus uas yog tangent rau txhua tus tswv cuab ntawm tsev neeg ntawm qee lub sijhawm, thiab cov ntsiab lus ntawm tangency ua ke tsim tag nrho hnab ntawv . Piv txwv li: Hauv lub sijhawm ntev, LAC yog qhov lub hnab ntawv nkhaus ntawm SAC nkhaus.

Tom qab ntawd, lo lus nug yog, dab tsi yog tus kheej orthogonal?

Kev txhais 1. Ob tsev neeg ntawm kev nkhaus yog xws li qhov nkhaus ntawm ob tsev neeg yog orthogonal (thaum twg lawv sib tshuam) rau txhua qhov nkhaus hauv lwm tsev neeg. Txhua tsev neeg ntawm nkhaus yog orthogonal trajectory ntawm lwm tus. Yog tias ob tsev neeg zoo ib yam, lawv hais tias tsev neeg yog tus kheej - orthogonal.

Yuav ua li cas koj nrhiav tau lub hnab ntawv ntawm ib tug nkhaus?

Nrhiav lub hnab ntawv ntawm tsev neeg ntawm cov kab ncaj nraim muab los ntawm cov kab zauv ib txwm: xcosC + ysinC−p = 0. Nyob rau hauv qhov sib npaug no, cosC thiab sinC yog cov kev taw qhia cosines ntawm ib txwm vector mus rau txoj kab ncaj nraim (Daim duab 7,) thiab p yog qhov kev ncua deb ntawm kab mus rau lub hauv paus chiv keeb.

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