函數(shù)極值點(diǎn)與駐點(diǎn)分析

函數(shù)極值點(diǎn)與駐點(diǎn)分析當(dāng)然可以，這里是根據(jù)“函數(shù)極值點(diǎn)與駐點(diǎn)分析”標(biāo)題設(shè)計(jì)的20道試題，包括選擇題和填空題，每題都有詳細(xì)的序號(hào)介紹：1.什么是函數(shù)的極值點(diǎn)？-A.函數(shù)的最大值點(diǎn)-B.函數(shù)的最小值點(diǎn)-C.函數(shù)的變化方向點(diǎn)-D.函數(shù)的連續(xù)點(diǎn)2.在導(dǎo)數(shù)為零的點(diǎn)附近，函數(shù)可能具有什么性質(zhì)？-填空：在導(dǎo)數(shù)為零的點(diǎn)附近，函數(shù)可能具有（駐點(diǎn)）。3.函數(shù)\(f(x)=x^3-3x\)的極值點(diǎn)是：-A.\(x=-1\)-B.\(x=1\)-C.\(x=0\)-D.\(x=2\)4.當(dāng)導(dǎo)數(shù)變號(hào)時(shí)，函數(shù)可能出現(xiàn)的特性是：-填空：當(dāng)導(dǎo)數(shù)變號(hào)時(shí)，函數(shù)可能出現(xiàn)的特性是（極值點(diǎn)）。5.函數(shù)\(g(x)=2x^2+3x-5\)的極小值是多少？-填空：函數(shù)\(g(x)=2x^2+3x-5\)的極小值是（-6）。6.什么是函數(shù)的駐點(diǎn)？-A.函數(shù)的最大值點(diǎn)-B.函數(shù)的最小值點(diǎn)-C.函數(shù)的導(dǎo)數(shù)為零的點(diǎn)-D.函數(shù)的導(dǎo)數(shù)不存在的點(diǎn)7.對(duì)于函數(shù)\(h(x)=\sinx+\cosx\)，其駐點(diǎn)的個(gè)數(shù)是：-A.0-B.1-C.2-D.38.函數(shù)\(f(x)=x^4-4x^2+3\)的極值點(diǎn)包括：-A.\(x=1\)-B.\(x=-1\)-C.\(x=0\)-D.\(x=2\)9.在什么情況下，函數(shù)可能沒(méi)有極值點(diǎn)？-填空：函數(shù)可能沒(méi)有極值點(diǎn)的情況是（導(dǎo)數(shù)不存在或?qū)?shù)在整個(gè)定義域內(nèi)不變號(hào)）。10.如果函數(shù)\(f(x)\)在某區(qū)間內(nèi)只有一個(gè)駐點(diǎn)，那么該駐點(diǎn)可能是：-A.極大值點(diǎn)-B.極小值點(diǎn)-C.不是極值點(diǎn)-D.都有可能11.函數(shù)\(g(x)=e^x+\lnx\)的極值點(diǎn)是：-A.\(x=1\)-B.\(x=e\)-C.\(x=0\)-D.\(x=-1\)12.駐點(diǎn)的定義是指函數(shù)在該點(diǎn)的導(dǎo)數(shù)等于：-A.0-B.1-C.無(wú)窮大-D.不存在13.函數(shù)\(f(x)=\frac{x^3}{3}-x\)的極值點(diǎn)是：-A.\(x=-1\)-B.\(x=1\)-C.\(x=0\)-D.\(x=2\)14.導(dǎo)數(shù)為零的點(diǎn)不一定是函數(shù)的：-填空：導(dǎo)數(shù)為零的點(diǎn)不一定是函數(shù)的（極值點(diǎn)）。15.函數(shù)\(h(x)=\sqrt{x}\)的駐點(diǎn)是：-A.\(x=0\)-B.\(x=1\)-C.\(x=2\)-D.\(x=-1\)16.在函數(shù)\(f(x)=x^3-3x\)的圖像上，極值點(diǎn)出現(xiàn)在：-A.\(x=-1\)處-B.\(x=1\)處-C.\(x=0\)處-D.\(x=2\)處17.函數(shù)\(g(x)=\frac{1}{x}+\lnx\)在\(x=1\)處的駐點(diǎn)是：-A.極大值點(diǎn)-B.極小值點(diǎn)-C.非極值點(diǎn)-D.不存在18.當(dāng)函數(shù)的導(dǎo)數(shù)在某點(diǎn)為零時(shí)，該點(diǎn)可能是函數(shù)的：-填空：當(dāng)函數(shù)的導(dǎo)數(shù)在某點(diǎn)為零時(shí)，該點(diǎn)可能是函數(shù)的（駐點(diǎn)）。19.函數(shù)\(f(x)=2x^3-9x^2+12x\)在\(x=2\)處的極值是：-填空：函數(shù)\(f(x)=2x^3-9x^2+12x\)在\(x=2\)處的極值是（4）。20.如果函數(shù)\(h(x)=\cosx-\sinx\)在\(x=0\)處有一個(gè)駐點(diǎn)，那么