描點(diǎn)法畫函數(shù)y=152x+cos(116x+83)的性質(zhì)及其圖像主要內(nèi)容：本文根據(jù)余弦等函數(shù)的有關(guān)性質(zhì)，介紹通過(guò)描點(diǎn)法畫出三角函數(shù)y=152x+cos(116x+83)在區(qū)間[-EQ\F(4π+83,116),EQ\F(4π-83,116)]區(qū)間上圖像示意圖的主要過(guò)程與步驟?！?函數(shù)的定義域根據(jù)函數(shù)的特征，函數(shù)是一次函數(shù)y?=152x和余弦函數(shù)y?=cos(116x+83)的和函數(shù)，且二者的定義域?yàn)槿w實(shí)數(shù)，所以其和函數(shù)的定義域也為全體實(shí)數(shù)，即為:(-∞，+∞)?！?函數(shù)描點(diǎn)思路由于函數(shù)y=152x+cos(116x+83)含有三角余弦函數(shù)，三角函數(shù)具有周期性值，故描點(diǎn)以三角函數(shù)為中心函數(shù)，分別取三角函數(shù)值為0，±1以及45°角時(shí)的取值為本例函數(shù)的特征點(diǎn)?！?函數(shù)的部分點(diǎn)圖本處以區(qū)間[-EQ\F(4π+83,116),EQ\F(4π-83,116)]為例，描點(diǎn)列為：x-0.824-0.817-0.810-0.804-0.797116x+83-4π-15π/4-7π/2-13π/4-3πcos(116x+83)10.710-0.71-1152x-125.25-124.18-123.12-122.21-121.14y-124.25-123.47-123.12-122.92-122.14x-0.790-0.783-0.776-0.770-0.763116x+83-11π/4-5π/2-9π/4-2π-7π/4cos(116x+83)-0.7100.7110.71152x-120.08-119.02-117.95-117.04-115.98y-120.8-119.0-117.2-116.0-115.3x-0.756-0.749-0.743-0.736-0.729116x+83-3π/2-5π/4-π-3π/4-π/2cos(116x+83)0-0.71-1-0.710152x-114.91-113.85-112.94-111.87-110.81y-114.9-114.6-113.9-112.6-110.8x-0.722-0.716-0.709-0.702-0.695-0.688116x+83-π/40π/4π/23π/4πcos(116x+83)0.7110.7100.71-1152x-109.74-108.83-107.77-106.70-105.64-104.58y-109.0-107.8-107.1-106.7-106.4-105.6x-0.682-0.675-0.668-0.661-0.655-0.648116x+835π/43π/27π/42π9π/45π/2cos(116x+83)-0.7100.7110.710152x-103.66-102.60-101.54-100.47-99.56-98.50y-104.4-102.6-100.8-99.5-98.9-98.5x-0.641-0.634-0.627-0.621-0.614-0.607116x+8311/4π3π13π/47π/215π/44πcos(116x+83)-0.71-1-0.7100.711152x-97.43-96.37-95.30-94.39-93.33-92.26y-98.1-97.4-96.0-94.4-92.6-91.3※.函數(shù)的示意圖y=152x+cos(116x+83) y (-0.607,-91.3)(-0.716,-107.8) x