2024屆一輪復(fù)習(xí)數(shù)學(xué)新教材人教A版 第四章 三角函數(shù)與解三角形 必刷小題7　三角函數(shù) 課件（33張）

第四章三角函數(shù)與解三角形必刷小題7三角函數(shù)一、單項(xiàng)選擇題12345678910111213141516√12345678910111213141516123456789101112131415162.(2022·天津模擬)已知扇形的周長為15cm，圓心角為3rad，則此扇形的弧長為A.3cm

B.6cm

C.9cm

D.12cm√即l＝3r且l＋2r＝15，解得l＝9，故此扇形的弧長為9cm.123456789101112131415163.(2023·合肥模擬)已知角α的終邊經(jīng)過點(diǎn)(－1，m)，且sinα＝

，則tanα等于√12345678910111213141516√123456789101112131415165.(2023·沈陽模擬)函數(shù)f(x)＝|sinx＋cosx|的最小正周期是√根據(jù)圖象知函數(shù)f(x)的最小正周期為π.12345678910111213141516√1234567891011121314151612345678910111213141516√1234567891011121314151612345678910111213141516√12345678910111213141516二、多項(xiàng)選擇題9.(2023·泉州模擬)將函數(shù)f(x)＝cos2x的圖象向左平移

個(gè)單位長度，得到函數(shù)g(x)的圖象，則下列結(jié)論正確的是A.函數(shù)f(x)·g(x)是奇函數(shù)B.函數(shù)f(x)·g(x)的圖象關(guān)于直線x＝

對稱C.函數(shù)f(x)－g(x)的最小正周期為D.函數(shù)f(x)－g(x)在(0，π)上的單調(diào)遞減區(qū)間是12345678910111213141516√√√1234567891011121314151612345678910111213141516√√12345678910111213141516123456789101112131415161234567891011121314151612345678910111213141516√√1234567891011121314151612345678910111213141516√√√12345678910111213141516123456789101112131415161234567891011121314151612345678910111213141516則t1＋t2＝π，t2＋t3＝3π，t3＋t4＝5π，t4＋t5＝7π，t5＋t6＝9π，故t1＋2t2＋2t3＋2t4＋2t5＋t6＝4(x1＋2x2＋2x3＋2x4＋2x5＋x6)－10×＝25π，12345678910111213141516三、填空題13.已知對任意x∈R，有cosx＝sin(x＋φ)，則φ＝________________________________________.(填寫符合要求的一個(gè)值)k∈Z的一個(gè)值即可)1234567891011121314151612345678910111213141516112345678910111213141516f(x1)－λ>cos2x2－sin3x1恒成立，則實(shí)數(shù)λ的取值范圍為____________.12