2009年~2012年全國(guó)各地高考中函數(shù)題考查情況抽樣調(diào)查統(tǒng)計(jì)表

2009年~2012年全國(guó)各地高考中函數(shù)題考查情況抽樣調(diào)查統(tǒng)1函數(shù)的定義函數(shù)的性質(zhì)函數(shù)的圖象函數(shù)的綜合應(yīng)用函數(shù)的定義2函數(shù)的定義函數(shù)的性質(zhì)函數(shù)的圖象函數(shù)的綜合應(yīng)用函數(shù)的定義3函數(shù)的定義函數(shù)的性質(zhì)函數(shù)的圖象函數(shù)的綜合應(yīng)用（1）含參變量的函數(shù)問(wèn)題；（2）與導(dǎo)數(shù)有關(guān)的綜合問(wèn)題；（3）與方程、不等式有關(guān)的綜合問(wèn)題;（4）兩個(gè)或兩個(gè)以上函數(shù)的關(guān)系問(wèn)題.函數(shù)的定義（1）含參變量的函數(shù)問(wèn)題；4【確定函數(shù)單調(diào)性】問(wèn)題一(1)（2011江蘇2）函數(shù)f(x)=log5(2x＋1)的單調(diào)增區(qū)間是_________.(2)函數(shù)f(x)＝x3－15x2－33x＋6的單調(diào)減區(qū)間為_(kāi)________.【確定函數(shù)單調(diào)性】問(wèn)題一5問(wèn)題一(1)（2011江蘇2）函數(shù)f(x)=log5(2x＋1)的單調(diào)增區(qū)間是_________.解：函數(shù)f(x)=log5(2x＋1)的定義域?yàn)椋ǎ?∞），可以判斷函數(shù)

f(x)=log5(2x＋1)在定義域上單調(diào)遞增，所以函數(shù)f(x)=log5(2x＋1)

的單調(diào)增區(qū)間是（－，+∞）.【確定函數(shù)單調(diào)性】問(wèn)題一解：函數(shù)f(x)=log5(2x＋1)的定義域?yàn)椤?問(wèn)題一(2)函數(shù)f(x)＝x3－15x2－33x＋6的單調(diào)減區(qū)間為_(kāi)________.【確定函數(shù)單調(diào)性】問(wèn)題一【確定函數(shù)單調(diào)性】7通常，如何判斷一個(gè)函數(shù)的單調(diào)性？①直接判斷函數(shù)的單調(diào)性；②導(dǎo)數(shù).【單調(diào)性問(wèn)題的解題策略】通常，如何判斷一個(gè)函數(shù)的單調(diào)性？【單調(diào)性問(wèn)題的解題策略】8問(wèn)題二【確定函數(shù)單調(diào)性】？問(wèn)題二【確定函數(shù)單調(diào)性】？9問(wèn)題二【確定函數(shù)單調(diào)性】問(wèn)題二【確定函數(shù)單調(diào)性】10【確定函數(shù)單調(diào)性】問(wèn)題二【確定函數(shù)單調(diào)性】問(wèn)題二11【確定函數(shù)單調(diào)性】問(wèn)題二【確定函數(shù)單調(diào)性】問(wèn)題二12【確定函數(shù)單調(diào)性】問(wèn)題二【確定函數(shù)單調(diào)性】問(wèn)題二13為什么求導(dǎo)？

因?yàn)橥ㄟ^(guò)函數(shù)解析式，不便于直接判斷函數(shù)的單調(diào)區(qū)間，此時(shí)可通過(guò)求導(dǎo)，根據(jù)導(dǎo)數(shù)和單調(diào)性的關(guān)系加以研究.求導(dǎo)應(yīng)注意哪些問(wèn)題？求導(dǎo)要正確；要關(guān)注原函數(shù)和導(dǎo)函數(shù)的定義域；求導(dǎo)后要做適當(dāng)?shù)淖冃握恚园l(fā)現(xiàn)導(dǎo)函數(shù)的性質(zhì)；對(duì)于含有參數(shù)的問(wèn)題往往需要分類討論.

【單調(diào)性問(wèn)題的解題策略】為什么求導(dǎo)？【單調(diào)性問(wèn)題的解題策略】14【函數(shù)單調(diào)性應(yīng)用】問(wèn)題三【函數(shù)單調(diào)性應(yīng)用】問(wèn)題三15【函數(shù)單調(diào)性應(yīng)用】問(wèn)題三【函數(shù)單調(diào)性應(yīng)用】問(wèn)題三16【函數(shù)單調(diào)性應(yīng)用】問(wèn)題三【函數(shù)單調(diào)性應(yīng)用】問(wèn)題三17反思這兩個(gè)問(wèn)題體現(xiàn)了處理函數(shù)性質(zhì)研究問(wèn)題的一個(gè)基本觀點(diǎn)，將函數(shù)的基本性質(zhì)作為解決問(wèn)題的工具[如單調(diào)性、奇偶性等基本性質(zhì)].【函數(shù)單調(diào)性應(yīng)用】反思【函數(shù)單調(diào)性應(yīng)用】18問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】19問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】20問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】21通常，如何求參數(shù)的取值范圍？建立參數(shù)所滿足的不等關(guān)系；通常，可以通過(guò)參變量分離或化為含參數(shù)的函數(shù)問(wèn)題來(lái)進(jìn)行求解；如果需要分類討論,要正確確定分類標(biāo)準(zhǔn).【含參數(shù)問(wèn)題的解題策略】通常，如何求參數(shù)的取值范圍？【含參數(shù)問(wèn)題的解題策略】22問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】23問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】24問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】25問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】26問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】27【函數(shù)的圖象】問(wèn)題一

1【函數(shù)的圖象】問(wèn)題一128【函數(shù)的圖象】問(wèn)題二

【函數(shù)的圖象】問(wèn)題二29【函數(shù)的圖象】【函數(shù)的圖象】30【函數(shù)的圖象】1－11【函數(shù)的圖象】1－11311【函數(shù)的圖象】－111【函數(shù)的圖象】－1132【函數(shù)的圖象】問(wèn)題三

【函數(shù)的圖象】問(wèn)題三33【函數(shù)的圖象】問(wèn)題三

【函數(shù)的圖象】問(wèn)題三34【函數(shù)的圖象】問(wèn)題三

【函數(shù)的圖象】問(wèn)題三35【函數(shù)的圖象】問(wèn)題三

【函數(shù)的圖象】問(wèn)題三36【函數(shù)的圖象】問(wèn)題三

[反思]利用圖象法解題時(shí)，要盡可能選用圖象形態(tài)熟悉的函數(shù)，盡可能使兩函數(shù)圖象的位置關(guān)系清晰明了，為此我們應(yīng)有所選擇.【函數(shù)的圖象】問(wèn)題三[反思]利用圖象法解題時(shí)，要盡可能37【解題策略小結(jié)】（1）在解決與函數(shù)有關(guān)的問(wèn)題時(shí)，如果可以作出函數(shù)的圖象，則盡量作出函數(shù)的大致圖象，以幫助我們尋找解題思路；（2）在作函數(shù)圖象的時(shí)候，要充分利用函數(shù)的性質(zhì)（如單調(diào)性、奇偶性），特別要注意函數(shù)圖象與坐標(biāo)軸的交點(diǎn)、函數(shù)的極值點(diǎn)等特殊點(diǎn)的位置.（3）注意圖形語(yǔ)言與符號(hào)語(yǔ)言的轉(zhuǎn)換.【解題策略小結(jié)】（1）在解決與函數(shù)有關(guān)的問(wèn)題時(shí)，如果可以作出38函數(shù)的綜合應(yīng)用含參變量的函數(shù)問(wèn)題與方程有關(guān)的綜合問(wèn)題3.與不等式有關(guān)的綜合問(wèn)題函數(shù)的綜合應(yīng)用含參變量的函數(shù)問(wèn)題39函數(shù)的綜合應(yīng)用含參變量的函數(shù)問(wèn)題與方程有關(guān)的綜合問(wèn)題3.與不等式有關(guān)的綜合問(wèn)題函數(shù)的綜合應(yīng)用含參變量的函數(shù)問(wèn)題40【含參變量的函數(shù)問(wèn)題】問(wèn)題一【含參變量的函數(shù)問(wèn)題】問(wèn)題一41【含參變量的函數(shù)問(wèn)題】問(wèn)題一v【含參變量的函數(shù)問(wèn)題】問(wèn)題一v42【含參變量的函數(shù)問(wèn)題】問(wèn)題一【含參變量的函數(shù)問(wèn)題】問(wèn)題一43【含參變量的函數(shù)問(wèn)題】問(wèn)題一【含參變量的函數(shù)問(wèn)題】問(wèn)題一44【含參變量的函數(shù)問(wèn)題】問(wèn)題一【含參變量的函數(shù)問(wèn)題】問(wèn)題一45這類問(wèn)題通常有三個(gè)明顯特征：①題目中直接或間接給出一個(gè)包含兩個(gè)字母（一個(gè)是自變量，另一個(gè)是參變量）的等式或不等式；②題目中常有“任意”、“恒成立”、“存在”、“有解”等標(biāo)志；③兩個(gè)字母中一個(gè)范圍已知（這個(gè)字母就是自變量），另一個(gè)范圍待求（這個(gè)字母即參變量）.【小結(jié)】這類問(wèn)題通常有三個(gè)明顯特征：【小結(jié)】46①通常，可以通過(guò)參變量分離或化為含參數(shù)的函數(shù)問(wèn)題來(lái)進(jìn)行求解；②如果需要分類討論，要正確確定分類標(biāo)準(zhǔn).【含參數(shù)問(wèn)題的解題策略】①通常，可以通過(guò)參變量分離或化為含參數(shù)的函數(shù)問(wèn)題來(lái)進(jìn)行求解；47【含參變量的函數(shù)問(wèn)題】問(wèn)題二【含參變量的函數(shù)問(wèn)題】問(wèn)題二48【含參變量的函數(shù)問(wèn)題】問(wèn)題二【含參變量的函數(shù)問(wèn)題】問(wèn)題二49【含參變量的函數(shù)問(wèn)題】問(wèn)題二【含參變量的函數(shù)問(wèn)題】問(wèn)題二50【含參變量的函數(shù)問(wèn)題】【含參變量的函數(shù)問(wèn)題】51【含參變量的函數(shù)問(wèn)題】變式(1)【含參變量的函數(shù)問(wèn)題】變式(1)52【含參變量的函數(shù)問(wèn)題】反思：【含參變量的函數(shù)問(wèn)題】反思：53【含參變量的函數(shù)問(wèn)題】反思：圖1圖2【含參變量的函數(shù)問(wèn)題】反思：圖1圖254【含參變量的函數(shù)問(wèn)題】【含參變量的函數(shù)問(wèn)題】55【含參變量的函數(shù)問(wèn)題】【含參變量的函數(shù)問(wèn)題】56【含參變量的函數(shù)問(wèn)題】【含參變量的函數(shù)問(wèn)題】57函數(shù)的綜合應(yīng)用含參變量的函數(shù)問(wèn)題與方程有關(guān)的綜合問(wèn)題3.與不等式有關(guān)的綜合問(wèn)題函數(shù)的綜合應(yīng)用含參變量的函數(shù)問(wèn)題58【與方程有關(guān)的綜合問(wèn)題】【與方程有關(guān)的綜合問(wèn)題】59【與方程有關(guān)的綜合問(wèn)題】【與方程有關(guān)的綜合問(wèn)題】60【與方程有關(guān)的綜合問(wèn)題】【與方程有關(guān)的綜合問(wèn)題】61【與方程有關(guān)的綜合問(wèn)題】1e【與方程有關(guān)的綜合問(wèn)題】1e62【與方程有關(guān)的綜合問(wèn)題】1e【與方程有關(guān)的綜合問(wèn)題】1e63【與方程有關(guān)的綜合問(wèn)題】11【與方程有關(guān)的綜合問(wèn)題】1164【與方程有關(guān)的綜合問(wèn)題】1【與方程有關(guān)的綜合問(wèn)題】165【與方程有關(guān)的綜合問(wèn)題】反思：選擇“好”函數(shù).【與方程有關(guān)的綜合問(wèn)題】反思：選擇“好”函數(shù).66【與方程有關(guān)的綜合問(wèn)題】問(wèn)題四【與方程有關(guān)的綜合問(wèn)題】問(wèn)題四67【與方程有關(guān)的綜合問(wèn)題】問(wèn)題四【與方程有關(guān)的綜合問(wèn)題】問(wèn)題四68【與方程有關(guān)的綜合問(wèn)題】【與方程有關(guān)的綜合問(wèn)題】69【與方程有關(guān)的綜合問(wèn)題】【與方程有關(guān)的綜合問(wèn)題】70【與方程有關(guān)的綜合問(wèn)題】【與方程有關(guān)的綜合問(wèn)題】71根據(jù)問(wèn)題的信息，建立函數(shù)關(guān)系式或構(gòu)造中間函數(shù)；研究該函數(shù)的性質(zhì)、圖象等特征；要熟悉一些常規(guī)的解題策略（比如零點(diǎn)問(wèn)題轉(zhuǎn)化為函數(shù)圖象交點(diǎn)問(wèn)題）.【與方程有關(guān)的綜合問(wèn)題的解題策略】【與方程有關(guān)的綜合問(wèn)題的解題策略】72【與不等式有關(guān)的綜合問(wèn)題】?【與不等式有關(guān)的綜合問(wèn)題】?73【與不等式有關(guān)的綜合問(wèn)題】?【與不等式有關(guān)的綜合問(wèn)題】?74【與不等式有關(guān)的綜合問(wèn)題】【與不等式有關(guān)的綜合問(wèn)題】75【與不等式有關(guān)的綜合問(wèn)題】【與不等式有關(guān)的綜合問(wèn)題】76【與不等式有關(guān)的綜合問(wèn)題】【與不等式有關(guān)的綜合問(wèn)題】77【與不等式有關(guān)的綜合問(wèn)題】【與不等式有關(guān)的綜合問(wèn)題】78【與不等式有關(guān)的綜合問(wèn)題】【與不等式有關(guān)的綜合問(wèn)題】79【與不等式有關(guān)的綜合問(wèn)題】【與不等式有關(guān)的綜合問(wèn)題】80對(duì)于不等式的證明問(wèn)題，我們要尋找條件和結(jié)論之間的聯(lián)系與差異，積極縮小差異，從而解決問(wèn)題.根據(jù)問(wèn)題的信息，我們要積極尋找或構(gòu)造合適的函數(shù)；【反思】【反思】81【與不等式有關(guān)的綜合問(wèn)題】【與不等式有關(guān)的綜合問(wèn)題】82【與不等式有關(guān)的綜合問(wèn)題】【與不等式有關(guān)的綜合問(wèn)題】83【與不等式有關(guān)的綜合問(wèn)題】【與不等式有關(guān)的綜合問(wèn)題】84【反思】【反思】85【與不等式有關(guān)的綜合問(wèn)題】【與不等式有關(guān)的綜合問(wèn)題】86【與不等式有關(guān)的綜合問(wèn)題】【與不等式有關(guān)的綜合問(wèn)題】87【與不等式有關(guān)的綜合問(wèn)題】【與不等式有關(guān)的綜合問(wèn)題】88根據(jù)問(wèn)題的信息，尋找或構(gòu)造合適的函數(shù)；研究該函數(shù)的性質(zhì)、圖象等特征；要熟悉一些常規(guī)的解題策略（比如不等式問(wèn)題轉(zhuǎn)化為圖象的位置關(guān)系問(wèn)題，再比如一些重要的不等式模型等）.【與不等式有關(guān)的綜合問(wèn)題的解題策略】【與不等式有關(guān)的綜合問(wèn)題的解題策略】89突出一個(gè)重要性質(zhì)——單調(diào)性；強(qiáng)化一類特殊函數(shù)——二次函數(shù)；依托一種重要思想——數(shù)形結(jié)合；凸現(xiàn)一條解題途徑——構(gòu)建函數(shù).突出一個(gè)重要性質(zhì)——單調(diào)性；902009年~2012年全國(guó)各地高考中函數(shù)題考查情況抽樣調(diào)查統(tǒng)計(jì)表

2009年~2012年全國(guó)各地高考中函數(shù)題考查情況抽樣調(diào)查統(tǒng)91函數(shù)的定義函數(shù)的性質(zhì)函數(shù)的圖象函數(shù)的綜合應(yīng)用函數(shù)的定義92函數(shù)的定義函數(shù)的性質(zhì)函數(shù)的圖象函數(shù)的綜合應(yīng)用函數(shù)的定義93函數(shù)的定義函數(shù)的性質(zhì)函數(shù)的圖象函數(shù)的綜合應(yīng)用（1）含參變量的函數(shù)問(wèn)題；（2）與導(dǎo)數(shù)有關(guān)的綜合問(wèn)題；（3）與方程、不等式有關(guān)的綜合問(wèn)題;（4）兩個(gè)或兩個(gè)以上函數(shù)的關(guān)系問(wèn)題.函數(shù)的定義（1）含參變量的函數(shù)問(wèn)題；94【確定函數(shù)單調(diào)性】問(wèn)題一(1)（2011江蘇2）函數(shù)f(x)=log5(2x＋1)的單調(diào)增區(qū)間是_________.(2)函數(shù)f(x)＝x3－15x2－33x＋6的單調(diào)減區(qū)間為_(kāi)________.【確定函數(shù)單調(diào)性】問(wèn)題一95問(wèn)題一(1)（2011江蘇2）函數(shù)f(x)=log5(2x＋1)的單調(diào)增區(qū)間是_________.解：函數(shù)f(x)=log5(2x＋1)的定義域?yàn)椋ǎ?∞），可以判斷函數(shù)

f(x)=log5(2x＋1)在定義域上單調(diào)遞增，所以函數(shù)f(x)=log5(2x＋1)

的單調(diào)增區(qū)間是（－，+∞）.【確定函數(shù)單調(diào)性】問(wèn)題一解：函數(shù)f(x)=log5(2x＋1)的定義域?yàn)椤?6問(wèn)題一(2)函數(shù)f(x)＝x3－15x2－33x＋6的單調(diào)減區(qū)間為_(kāi)________.【確定函數(shù)單調(diào)性】問(wèn)題一【確定函數(shù)單調(diào)性】97通常，如何判斷一個(gè)函數(shù)的單調(diào)性？①直接判斷函數(shù)的單調(diào)性；②導(dǎo)數(shù).【單調(diào)性問(wèn)題的解題策略】通常，如何判斷一個(gè)函數(shù)的單調(diào)性？【單調(diào)性問(wèn)題的解題策略】98問(wèn)題二【確定函數(shù)單調(diào)性】？問(wèn)題二【確定函數(shù)單調(diào)性】？99問(wèn)題二【確定函數(shù)單調(diào)性】問(wèn)題二【確定函數(shù)單調(diào)性】100【確定函數(shù)單調(diào)性】問(wèn)題二【確定函數(shù)單調(diào)性】問(wèn)題二101【確定函數(shù)單調(diào)性】問(wèn)題二【確定函數(shù)單調(diào)性】問(wèn)題二102【確定函數(shù)單調(diào)性】問(wèn)題二【確定函數(shù)單調(diào)性】問(wèn)題二103為什么求導(dǎo)？

因?yàn)橥ㄟ^(guò)函數(shù)解析式，不便于直接判斷函數(shù)的單調(diào)區(qū)間，此時(shí)可通過(guò)求導(dǎo)，根據(jù)導(dǎo)數(shù)和單調(diào)性的關(guān)系加以研究.求導(dǎo)應(yīng)注意哪些問(wèn)題？求導(dǎo)要正確；要關(guān)注原函數(shù)和導(dǎo)函數(shù)的定義域；求導(dǎo)后要做適當(dāng)?shù)淖冃握?，以發(fā)現(xiàn)導(dǎo)函數(shù)的性質(zhì)；對(duì)于含有參數(shù)的問(wèn)題往往需要分類討論.

【單調(diào)性問(wèn)題的解題策略】為什么求導(dǎo)？【單調(diào)性問(wèn)題的解題策略】104【函數(shù)單調(diào)性應(yīng)用】問(wèn)題三【函數(shù)單調(diào)性應(yīng)用】問(wèn)題三105【函數(shù)單調(diào)性應(yīng)用】問(wèn)題三【函數(shù)單調(diào)性應(yīng)用】問(wèn)題三106【函數(shù)單調(diào)性應(yīng)用】問(wèn)題三【函數(shù)單調(diào)性應(yīng)用】問(wèn)題三107反思這兩個(gè)問(wèn)題體現(xiàn)了處理函數(shù)性質(zhì)研究問(wèn)題的一個(gè)基本觀點(diǎn)，將函數(shù)的基本性質(zhì)作為解決問(wèn)題的工具[如單調(diào)性、奇偶性等基本性質(zhì)].【函數(shù)單調(diào)性應(yīng)用】反思【函數(shù)單調(diào)性應(yīng)用】108問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】109問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】110問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】111通常，如何求參數(shù)的取值范圍？建立參數(shù)所滿足的不等關(guān)系；通常，可以通過(guò)參變量分離或化為含參數(shù)的函數(shù)問(wèn)題來(lái)進(jìn)行求解；如果需要分類討論,要正確確定分類標(biāo)準(zhǔn).【含參數(shù)問(wèn)題的解題策略】通常，如何求參數(shù)的取值范圍？【含參數(shù)問(wèn)題的解題策略】112問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】113問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】114問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】115問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】116問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】問(wèn)題四【函數(shù)單調(diào)性應(yīng)用】117【函數(shù)的圖象】問(wèn)題一

1【函數(shù)的圖象】問(wèn)題一1118【函數(shù)的圖象】問(wèn)題二

【函數(shù)的圖象】問(wèn)題二119【函數(shù)的圖象】【函數(shù)的圖象】120【函數(shù)的圖象】1－11【函數(shù)的圖象】1－111211【函數(shù)的圖象】－111【函數(shù)的圖象】－11122【函數(shù)的圖象】問(wèn)題三

【函數(shù)的圖象】問(wèn)題三123【函數(shù)的圖象】問(wèn)題三

【函數(shù)的圖象】問(wèn)題三124【函數(shù)的圖象】問(wèn)題三

【函數(shù)的圖象】問(wèn)題三125【函數(shù)的圖象】問(wèn)題三

【函數(shù)的圖象】問(wèn)題三126【函數(shù)的圖象】問(wèn)題三

[反思]利用圖象法解題時(shí)，要盡可能選用圖象形態(tài)熟悉的函數(shù)，盡可能使兩函數(shù)圖象的位置關(guān)系清晰明了，為此我們應(yīng)有所選擇.【函數(shù)的圖象】問(wèn)題三[反思]利用圖象法解題時(shí)，要盡可能127【解題策略小結(jié)】（1）在解決與函數(shù)有關(guān)的問(wèn)題時(shí)，如果可以作出函數(shù)的圖象，則盡量作出函數(shù)的大致圖象，以幫助我們尋找解題思路；（2）在作函數(shù)圖象的時(shí)候，要充分利用函數(shù)的性質(zhì)（如單調(diào)性、奇偶性），特別要注意函數(shù)圖象與坐標(biāo)軸的交點(diǎn)、函數(shù)的極值點(diǎn)等特殊點(diǎn)的位置.（3）注意圖形語(yǔ)言與符號(hào)語(yǔ)言的轉(zhuǎn)換.【解題策略小結(jié)】（1）在解決與函數(shù)有關(guān)的問(wèn)題時(shí)，如果可以作出128函數(shù)的綜合應(yīng)用含參變量的函數(shù)問(wèn)題與方程有關(guān)的綜合問(wèn)題3.與不等式有關(guān)的綜合問(wèn)題函數(shù)的綜合應(yīng)用含參變量的函數(shù)問(wèn)題129函數(shù)的綜合應(yīng)用含參變量的函數(shù)問(wèn)題與方程有關(guān)的綜合問(wèn)題3.與不等式有關(guān)的綜合問(wèn)題函數(shù)的綜合應(yīng)用含參變量的函數(shù)問(wèn)題130【含參變量的函數(shù)問(wèn)題】問(wèn)題一【含參變量的函數(shù)問(wèn)題】問(wèn)題一131【含參變量的函數(shù)問(wèn)題】問(wèn)題一v【含參變量的函數(shù)問(wèn)題】問(wèn)題一v132【含參變量的函數(shù)問(wèn)題】問(wèn)題一【含參變量的函數(shù)問(wèn)題】問(wèn)題一133【含參變量的函數(shù)問(wèn)題】問(wèn)題一【含參變量的函數(shù)問(wèn)題】問(wèn)題一134【含參變量的函數(shù)問(wèn)題】問(wèn)題一【含參變量的函數(shù)問(wèn)題】問(wèn)題一135這類問(wèn)題通常有三個(gè)明顯特征：①題目中直接或間接給出一個(gè)包含兩個(gè)字母（一個(gè)是自變量，另一個(gè)是參變量）的等式或不等式；②題目中常有“任意”、“恒成立”、“存在”、“有解”等標(biāo)志；③兩個(gè)字母中一個(gè)范圍已知（這個(gè)字母就是自變量），另一個(gè)范圍待求（這個(gè)字母即參變量）.【小結(jié)】這類問(wèn)題通常有三個(gè)明顯特征：【小結(jié)】136①通常，可以通過(guò)參變量分離或化為含參數(shù)的函數(shù)問(wèn)題來(lái)進(jìn)行求解；②如果需要分類討論，要正確確定分類標(biāo)準(zhǔn).【含參數(shù)問(wèn)題的解題策略】①通常，可以通過(guò)參變量分離或化為含參數(shù)的函數(shù)問(wèn)題來(lái)進(jìn)行求解；137【含參變量的函數(shù)問(wèn)題】問(wèn)題二【含參變量的函數(shù)問(wèn)題】問(wèn)題二138【含參變量的函數(shù)問(wèn)題】問(wèn)題二【含參變量的函數(shù)問(wèn)題】問(wèn)題二139【含參變量的函數(shù)問(wèn)題】問(wèn)題二【含參變量的函數(shù)問(wèn)題】問(wèn)題二140【含參變量的函數(shù)問(wèn)題】【含參變量的函數(shù)問(wèn)題】141【含參變量的函數(shù)問(wèn)題】變式(1)【含參變量的函數(shù)問(wèn)題】變式(1)142【含參變量的函數(shù)問(wèn)題】反思：【含參變量的函數(shù)問(wèn)題】反思：143【含參變量的函數(shù)問(wèn)題】反思：圖1圖2【含參變量的函數(shù)問(wèn)題】反思：圖1圖2144【含參變量的函數(shù)問(wèn)題】【含參變量的函數(shù)問(wèn)題】145【含參變量的函數(shù)問(wèn)題】【含參變量的函數(shù)問(wèn)題】146【含參變量的函數(shù)問(wèn)題】【含參變量的函數(shù)問(wèn)題】147函數(shù)的綜合應(yīng)用含參變量的函數(shù)問(wèn)題與方程有關(guān)的綜合問(wèn)題3.與不等式有關(guān)的綜合問(wèn)題函數(shù)的綜合應(yīng)用含參變量的函數(shù)問(wèn)題148【與方程有關(guān)的綜合問(wèn)題】【與方程有關(guān)的綜合問(wèn)題】149【與方程有關(guān)的綜合問(wèn)題】【與方程有關(guān)的綜合問(wèn)題】150【與方程有關(guān)的綜合問(wèn)題】【與方程有關(guān)的綜合問(wèn)題】151【與方程有關(guān)的綜合問(wèn)題】1e【與方程有關(guān)的綜合問(wèn)題】1e152【與方程有關(guān)的綜合問(wèn)題】1e【與方程有關(guān)的綜合問(wèn)題】1e153【與方程有關(guān)的綜合問(wèn)題】11【與方程有關(guān)的綜合問(wèn)題】11154【與方程有關(guān)的綜合問(wèn)題】1【與方程有關(guān)的綜合問(wèn)題】1155【與方程有關(guān)的綜合問(wèn)題】反思：選擇“好”函數(shù).【與方程有關(guān)的綜合問(wèn)題】反思：選擇“好”函數(shù).156【與方程有關(guān)的綜合問(wèn)題】問(wèn)題四【與方程有關(guān)的綜合問(wèn)題】問(wèn)題四157【與方程有關(guān)的綜合問(wèn)題】問(wèn)題四【與方程有關(guān)的綜合問(wèn)題】問(wèn)題四158【與方程有關(guān)的綜合問(wèn)題】【與方程有關(guān)的綜合問(wèn)題】159【與方程有關(guān)的綜合問(wèn)題】【與