Cov txheej txheem:

Dab tsi yog qhov ntsug asymptote ntawm sec x?
Dab tsi yog qhov ntsug asymptote ntawm sec x?

Video: Dab tsi yog qhov ntsug asymptote ntawm sec x?

Video: Dab tsi yog qhov ntsug asymptote ntawm sec x?
Video: Pub thawj sib tua tuag ua dab scary 3/17/2020 2024, Kaum ib hlis
Anonim

Cov ntsug asymptotes rau y = sec ( x ) y = sec ( x ) tshwm sim ntawm −π2, 3π2 3 π 2, thiab txhua π n, qhov twg n yog tus lej. Qhov no yog ib nrab ntawm lub sijhawm. Muaj xwb ntsug asymptotes rau secant thiab cosecant functions.

Hauv qhov no, dab tsi yog qhov ntsug asymptotes ntawm COTX?

Hauv koj qhov xwm txheej, kev ua haujlwm cot(x ) txhais tau tias yog 1tan(x), uas yog cos(x)sin(x). Yog li ntawd, lub zeros ntawm tus denominator yog cov ntawm cov sine muaj nuj nqi uas, periodicity sib nrug, yog 0 thiab π. Yog li, koj ntsug asymptotes yog ntsug cov kab zauv x = 0 thiab x = π.

Ib tug kuj yuav nug, ua li cas koj pom ntsug asymptotes? Rau nrhiav tus ntsug asymptote (s) ntawm ib tug rational muaj nuj nqi, tsuas yog teem lub denominator sib npaug zos rau 0 thiab daws rau x. Peb yuav tsum teeb tsa tus denominator sib npaug rau 0 thiab daws tau: Qhov quadratic no tuaj yeem daws tau yooj yim tshaj plaws los ntawm kev faib cov trinomial thiab teeb tsa cov khoom sib npaug rau 0. ntsug asymptotes ntawm.

Ib yam li ntawd, qhov ntau ntawm sec x yog dab tsi?

Cov ntau secx yog (−∞, −1]∪[1, ∞). Cia peb saib qee cov ntsiab lus. (Nco ntsoov tias peb yuav tsum hloov cov kev taw qhia ntawm kev tsis sib xws.) Li no, nws ntau yog (−∞, −1]∪[1, ∞).

Koj pom cov asymptotes ntawm kev ua haujlwm li cas?

Nrhiav Kab rov tav Asymptotes ntawm Rational Functions

  1. Yog tias ob qho tib si polynomials yog tib qib, faib cov coefficients ntawm cov ntsiab lus siab tshaj plaws.
  2. Yog hais tias lub polynomial nyob rau hauv tus lej yog qis dua tus denominator, x-axis (y = 0) yog kab rov tav asymptote.

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