函數(shù)y=(29x-45cosx)(55x+30sinx)的圖像示意圖主要內(nèi)容：本文根據(jù)三角正弦函數(shù)和余弦函數(shù)的周期性，并通過(guò)描點(diǎn)法，詳細(xì)介紹函數(shù)y=(29x-45cosx)(55x+30sinx)的圖像示意圖畫(huà)法步驟。函數(shù)的定義域：根據(jù)本題涉及的函數(shù)及其特征，為一次函數(shù)和三角函數(shù)和差的乘積，可知自變量x可以取任意實(shí)數(shù)，所以：函數(shù)y=(29x-45cosx)(55x+30sinx)的定義域?yàn)椋?-∞，+∞)。函數(shù)描點(diǎn)原則：由于三角函數(shù)具有周期性，本題用描點(diǎn)法畫(huà)函數(shù)y=(29x-45cosx)(55x+30sinx)的圖像。考慮周期性，本例需畫(huà)出在區(qū)間[-4π，4π]上的圖像示意圖，故取點(diǎn)原則為間隔1/4個(gè)周期進(jìn)行取點(diǎn)。函數(shù)特征點(diǎn)圖表：x-4π-3.75π-3.5π-3.25π-3π-2.75π29x-45cosx-409.4-373.5-318.9-264.3-228.3-218.755x+30sinx-691.2-626.7-574.8-540.3-518.4-496.4y282977234072183304142801118351108563x-2.5π-2.25π-2π-1.75π-1.5π-1.25π29x-45cosx-227.8-236.8-227.2-191.3-191.3-82.155x+30sinx-462.0-410.0-345.6-281.2-229.2-194.8y1052449708878520537944384615993x-π-0.75π-0.5π-0.25π00.25π29x-45cosx-46.1-36.5-45.6-54.6-45-9.055x+30sinx-172.8-150.8-116.4-64.4064.4y79665504530835160-580x0.5π0.75ππ1.25π1.5π1.75π29x-45cosx45.6100.1136.1145.7136.7127.655x+30sinx116.4150.8172.8194.8229.2281.2y53081509523518283823133235881x2π2.25π2.5π2.75π3π3.25π29x-45cosx137.2173.2227.8282.4318.3327.955x+30sinx345.6410.0462.0496.4518.4540.3y4741671012105244140183165007177164x3.53.75π4π29x-45cosx318.9309.8319.455x+30sinx574.8626.7691.2y183304194152220769函數(shù)圖像示意圖：y=(29x-45cosx)(55x+30sinx)y (-4π,282977)(4π,220769(3.5π,183304)(3π,165007)(-3.25π,142801)(-3π,118351)(-2.5π,105244)(2π,47416)