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第08講函數(shù)與方程(精講+精練)目錄第一部分:知識(shí)點(diǎn)精準(zhǔn)記憶第二部分:課前自我評(píng)估測試第三部分:典型例題剖析高頻考點(diǎn)一:函數(shù)零點(diǎn)所在區(qū)間的判斷高頻考點(diǎn)二:函數(shù)零點(diǎn)個(gè)數(shù)的判斷高頻考點(diǎn)三:根據(jù)零點(diǎn)個(gè)數(shù)求函數(shù)解析式中的參數(shù)高頻考點(diǎn)四:比較零點(diǎn)大小關(guān)系高頻考點(diǎn)五:求零點(diǎn)和高頻考點(diǎn)六:根據(jù)零點(diǎn)所在區(qū)間求參數(shù)高頻考點(diǎn)七:二分法求零點(diǎn)第四部分:高考真題感悟第五部分:第08講函數(shù)與方程(精練)第一部分:知識(shí)點(diǎn)精準(zhǔn)記憶第一部分:知識(shí)點(diǎn)精準(zhǔn)記憶1、函數(shù)的零點(diǎn)對(duì)于一般函數(shù)SKIPIF1<0,我們把使SKIPIF1<0成立的實(shí)數(shù)SKIPIF1<0叫做函數(shù)SKIPIF1<0的零點(diǎn).注意函數(shù)的零點(diǎn)不是點(diǎn),是一個(gè)數(shù).2、函數(shù)的零點(diǎn)與方程的根之間的聯(lián)系函數(shù)SKIPIF1<0的零點(diǎn)就是方程SKIPIF1<0的實(shí)數(shù)根,也就是函數(shù)SKIPIF1<0的圖象與SKIPIF1<0軸的交點(diǎn)的橫坐標(biāo)即方程SKIPIF1<0有實(shí)數(shù)根SKIPIF1<0函數(shù)SKIPIF1<0的圖象與SKIPIF1<0軸有交點(diǎn)SKIPIF1<0函數(shù)SKIPIF1<0有零點(diǎn).3、零點(diǎn)存在性定理如果函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的圖象是連續(xù)不斷的一條曲線,并且有SKIPIF1<0,那么,函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)有零點(diǎn),即存在SKIPIF1<0,使得SKIPIF1<0,這個(gè)SKIPIF1<0也就是方程SKIPIF1<0的根.注:上述定理只能判斷出零點(diǎn)存在,不能確定零點(diǎn)個(gè)數(shù).4、二分法對(duì)于在區(qū)間上連續(xù)不斷且SKIPIF1<0的函數(shù)SKIPIF1<0,通過不斷地把函數(shù)SKIPIF1<0的零點(diǎn)所在的區(qū)間一分為二,使區(qū)間的兩個(gè)端點(diǎn)逐步逼近零點(diǎn),進(jìn)而得到零點(diǎn)近似值的方法叫做二分法.求方程SKIPIF1<0的近似解就是求函數(shù)SKIPIF1<0零點(diǎn)的近似值.5、高頻考點(diǎn)技巧①若連續(xù)不斷的函數(shù)是定義域上的單調(diào)函數(shù),則至多有一個(gè)零點(diǎn);②連續(xù)不斷的函數(shù),其相鄰兩個(gè)零點(diǎn)之間的所有函數(shù)值保持同號(hào);③函數(shù)SKIPIF1<0有零點(diǎn)SKIPIF1<0方程SKIPIF1<0有實(shí)數(shù)根SKIPIF1<0函數(shù)SKIPIF1<0與SKIPIF1<0的圖象有交點(diǎn);④函數(shù)SKIPIF1<0有零點(diǎn)SKIPIF1<0方程SKIPIF1<0有實(shí)數(shù)根SKIPIF1<0函數(shù)SKIPIF1<0與SKIPIF1<0的圖象有交點(diǎn)SKIPIF1<0SKIPIF1<0,其中SKIPIF1<0為常數(shù).第二部分:課前自我評(píng)估測試第二部分:課前自我評(píng)估測試1.(2022·廣東中山·高一期末)函數(shù)SKIPIF1<0的零點(diǎn)所在的區(qū)間為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02.(2022·江蘇·南京市第二十九中學(xué)高一開學(xué)考試)用二分法研究函數(shù)SKIPIF1<0的零點(diǎn)時(shí),第一次經(jīng)過計(jì)算得SKIPIF1<0,SKIPIF1<0,則其中一個(gè)零點(diǎn)所在區(qū)間和第二次應(yīng)計(jì)算的函數(shù)值分別為(
)A.SKIPIF1<0,SKIPIF1<0 B.SKIPIF1<0,SKIPIF1<0C.SKIPIF1<0,SKIPIF1<0 D.SKIPIF1<0,SKIPIF1<03.(2022·廣西玉林·高一期末)若函數(shù)SKIPIF1<0的零點(diǎn)所在的區(qū)間為SKIPIF1<0,則實(shí)數(shù)a的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<04.(2022·福建南平·高一期末)函數(shù)SKIPIF1<0的零點(diǎn)為SKIPIF1<0,SKIPIF1<0SKIPIF1<0,則SKIPIF1<0的值為(
)A.1 B.2 C.3 D.45.(2022·江蘇淮安·高一期末)已知SKIPIF1<0,SKIPIF1<0均為SKIPIF1<0上連續(xù)不斷的曲線,根據(jù)下表能判斷方程SKIPIF1<0有實(shí)數(shù)解的區(qū)間是(
)x-10123SKIPIF1<0-0.6703.0115.4325.9807.651SKIPIF1<0-0.5303.4514.8905.2416.892A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0第三部分:典型例題剖析第三部分:典型例題剖析高頻考點(diǎn)一:函數(shù)零點(diǎn)所在區(qū)間的判斷1.(2022·江西省銅鼓中學(xué)高一開學(xué)考試)方程SKIPIF1<0的解所在的區(qū)間為(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02.(2022·安徽·池州市第一中學(xué)高一階段練習(xí))函數(shù)SKIPIF1<0的零點(diǎn)所在的一個(gè)區(qū)間是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<03.(2022·黑龍江·佳木斯一中高一期末)函數(shù)SKIPIF1<0的零點(diǎn)所在區(qū)間是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<04.(2022·黑龍江·雙鴨山一中高三期末(理))函數(shù)SKIPIF1<0的零點(diǎn)所在的區(qū)間為(
)SKIPIF1<0A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<0高頻考點(diǎn)二:函數(shù)零點(diǎn)個(gè)數(shù)的判斷1.(2022·安徽省蚌埠第三中學(xué)高一開學(xué)考試)已知函數(shù)SKIPIF1<0的圖像是連續(xù)不斷的,且SKIPIF1<0,SKIPIF1<0有如下的對(duì)應(yīng)值表:SKIPIF1<0123456SKIPIF1<0123.5621.45SKIPIF1<07.8211.57SKIPIF1<053.76SKIPIF1<0126.49則函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的零點(diǎn)有(
)A.兩個(gè) B.3個(gè) C.至多兩個(gè) D.至少三個(gè)2.(2022·山東省實(shí)驗(yàn)中學(xué)高三階段練習(xí))已知函數(shù)SKIPIF1<0,則函數(shù)SKIPIF1<0的零點(diǎn)個(gè)數(shù)是(
)A.2 B.3 C.4 D.53.(2022·全國·模擬預(yù)測)已知函數(shù)SKIPIF1<0,則函數(shù)SKIPIF1<0的零點(diǎn)個(gè)數(shù)為(
)A.4 B.5 C.6 D.74.(2022·全國·高三專題練習(xí))已知SKIPIF1<0,給出下列四個(gè)結(jié)論:(1)若SKIPIF1<0,則SKIPIF1<0有兩個(gè)零點(diǎn);(2)SKIPIF1<0,使得SKIPIF1<0有一個(gè)零點(diǎn);(3)SKIPIF1<0,使得SKIPIF1<0有三個(gè)零點(diǎn);(4)SKIPIF1<0,使得SKIPIF1<0有三個(gè)零點(diǎn).以上正確結(jié)論的序號(hào)是__.5.(2022·重慶九龍坡·高一期末)若函數(shù)SKIPIF1<0滿足SKIPIF1<0,且SKIPIF1<0時(shí),SKIPIF1<0,已知函數(shù)SKIPIF1<0,則函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)的零點(diǎn)的個(gè)數(shù)為__________.高頻考點(diǎn)三:根據(jù)零點(diǎn)個(gè)數(shù)求函數(shù)解析式中的參數(shù)1.(2022·浙江·高三專題練習(xí))已知函數(shù)SKIPIF1<0恰有SKIPIF1<0個(gè)零點(diǎn),則實(shí)數(shù)SKIPIF1<0的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<02.(2022·上海楊浦·高一期末)已知函數(shù)SKIPIF1<0若函數(shù)SKIPIF1<0存在零點(diǎn),則實(shí)數(shù)a的取值范圍是()A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<03.(2022·北京大興·高一期末)若函數(shù)SKIPIF1<0恰有SKIPIF1<0個(gè)零點(diǎn),則SKIPIF1<0的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<04.(2022·福建龍巖·高一期末)若函數(shù)SKIPIF1<0在SKIPIF1<0上存在零點(diǎn),則實(shí)數(shù)SKIPIF1<0的取值范圍是________.5.(2022·山西省長治市第二中學(xué)校高一期末)已知函數(shù)SKIPIF1<0,則使函數(shù)SKIPIF1<0有零點(diǎn)的實(shí)數(shù)SKIPIF1<0的取值范圍是____________6.(2022·全國·高三專題練習(xí))已知函數(shù)SKIPIF1<0,SKIPIF1<0.(1)求SKIPIF1<0的解析式.(2)若方程SKIPIF1<0有實(shí)數(shù)根,求實(shí)數(shù)a的取值范圍.高頻考點(diǎn)四:比較零點(diǎn)大小關(guān)系1.(2022·浙江·於潛中學(xué)高二期中)已知函數(shù)SKIPIF1<0,SKIPIF1<0,SKIPIF1<0的零點(diǎn)分別為a,b,c,則(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02.(2022·河北石家莊·高三階段練習(xí))若SKIPIF1<0,則下列不等關(guān)系一定不成立的是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<03.(2022·山東濰坊·高三期末)已知SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<04.(2022·湖北·鄂州市鄂城區(qū)教學(xué)研究室高一期末)已知方程SKIPIF1<0、SKIPIF1<0、SKIPIF1<0的根分別為a,b,c,則a,b,c的大小順序?yàn)椋?/p>
).A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<05.(2022·江蘇蘇州·高一期末)若實(shí)數(shù)SKIPIF1<0、SKIPIF1<0滿足SKIPIF1<0,則SKIPIF1<0、SKIPIF1<0的大小關(guān)系SKIPIF1<0__SKIPIF1<0(填“SKIPIF1<0”,“SKIPIF1<0”或“SKIPIF1<0”).6.(2022·江蘇·高一)已知函數(shù)SKIPIF1<0,SKIPIF1<0,SKIPIF1<0的零點(diǎn)依次為SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則SKIPIF1<0,SKIPIF1<0,SKIPIF1<0的大小關(guān)系是________.高頻考點(diǎn)五:求零點(diǎn)和1.(2022·天津市新華中學(xué)高三期末)已知函數(shù)SKIPIF1<0的定義域?yàn)镾KIPIF1<0,且SKIPIF1<0,當(dāng)SKIPIF1<0時(shí),SKIPIF1<0若關(guān)于x的方程SKIPIF1<0在SKIPIF1<0上所有實(shí)數(shù)解的和為15,則實(shí)數(shù)k的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02.(2022·安徽蚌埠·高三期末(文))已知函數(shù)SKIPIF1<0有四個(gè)不同的零點(diǎn)SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,若SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則SKIPIF1<0的值為(
)A.0 B.2 C.-1 D.-23.(2022·浙江·高三專題練習(xí))設(shè)函數(shù)SKIPIF1<0,若互不相等的實(shí)數(shù)SKIPIF1<0、SKIPIF1<0、SKIPIF1<0滿足SKIPIF1<0,則SKIPIF1<0的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<04.(2022·江蘇·高一期末)已知函數(shù)SKIPIF1<0,若存在SKIPIF1<0,使得SKIPIF1<0,則SKIPIF1<0的取值范圍是___________.5.(2022·全國·高三專題練習(xí))已知函數(shù)SKIPIF1<0是定義在SKIPIF1<0上的奇函數(shù),且當(dāng)SKIPIF1<0時(shí),SKIPIF1<0,則函數(shù)SKIPIF1<0的所有零點(diǎn)的和為_________高頻考點(diǎn)六:根據(jù)零點(diǎn)所在區(qū)間求參數(shù)1.(2022·海南·高一期末)若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)存在零點(diǎn),則實(shí)數(shù)SKIPIF1<0的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<02.(2022·全國·高三專題練習(xí))函數(shù)SKIPIF1<0的一個(gè)零點(diǎn)在區(qū)間SKIPIF1<0內(nèi),則實(shí)數(shù)SKIPIF1<0的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<03.(多選)(2022·江蘇省太湖高級(jí)中學(xué)高二階段練習(xí))函數(shù)SKIPIF1<0的一個(gè)零點(diǎn)在區(qū)間SKIPIF1<0內(nèi),則實(shí)數(shù)a的可能取值是(
)A.0 B.1 C.2 D.34.(2022·上海市建平中學(xué)高一期末)若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上有零點(diǎn),則實(shí)數(shù)SKIPIF1<0的取值范圍是________.5.(2022·湖北省廣水市實(shí)驗(yàn)高級(jí)中學(xué)高一階段練習(xí))已知函數(shù)SKIPIF1<0,SKIPIF1<0(1)若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上存在零點(diǎn),求實(shí)數(shù)a的取值范圍;高頻考點(diǎn)七:二分法求零點(diǎn)1.(2022·黑龍江·大慶中學(xué)高一期末)若函數(shù)SKIPIF1<0的一個(gè)正數(shù)零點(diǎn)附近的函數(shù)值用二分法計(jì)算,其參考數(shù)據(jù)如下:SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0SKIPIF1<0那么方程SKIPIF1<0的一個(gè)近似根(精確度SKIPIF1<0)可以是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<02.(多選)(2022·湖北大學(xué)附屬中學(xué)高一階段練習(xí))某同學(xué)用二分法求函數(shù)SKIPIF1<0的零點(diǎn)時(shí),計(jì)算出如下結(jié)果:SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,下列說法正確的有(
)A.精確到SKIPIF1<0的近似值為SKIPIF1<0 B.精確到SKIPIF1<0的近似值為SKIPIF1<0C.精確到SKIPIF1<0的近似值為SKIPIF1<0 D.精確到SKIPIF1<0的近似值為SKIPIF1<03.(多選)(2022·黑龍江·哈爾濱三中高一期末)若函數(shù)SKIPIF1<0的圖象是連續(xù)的,且函數(shù)SKIPIF1<0的唯一零點(diǎn)同在區(qū)間SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,SKIPIF1<0內(nèi),則與SKIPIF1<0符號(hào)不同的是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<04.(多選)(2022·全國·高一)若函數(shù)SKIPIF1<0在區(qū)間SKIPIF1<0上的圖象不間斷,則下列結(jié)論中錯(cuò)誤的是(
)A.若SKIPIF1<0,則SKIPIF1<0在SKIPIF1<0上不存在零點(diǎn) B.若SKIPIF1<0,則SKIPIF1<0在SKIPIF1<0上至少有一個(gè)零點(diǎn) C.若SKIPIF1<0在SKIPIF1<0內(nèi)有且只有一個(gè)零點(diǎn),則SKIPIF1<0 D.若SKIPIF1<0在SKIPIF1<0上存在零點(diǎn),則可用二分法求此零點(diǎn)的近似值5.(2022·廣東汕頭·一模)為檢測出新冠肺炎的感染者,醫(yī)學(xué)上可采用“二分檢測法”、假設(shè)待檢測的總?cè)藬?shù)是SKIPIF1<0(SKIPIF1<0)將SKIPIF1<0個(gè)人的樣本混合在一起做第1輪檢測(檢測一次),如果檢測結(jié)果為陰性,可確定這批人未感染;如果檢測結(jié)果為陽性,可確定其中有感染者,則將這批人平均分為兩組,每組SKIPIF1<0人的樣本混合在一起做第2輪檢測,每組檢測1次,如此類推:每輪檢測后,排除結(jié)果為陰性的那組人,而將每輪檢測后結(jié)果為陽性的組在平均分成兩組,做下一輪檢測,直到檢測出所有感染者(感染者必須通過檢測來確定).若待檢測的總?cè)藬?shù)為8,采用“二分檢測法”檢測,經(jīng)過4輪共7次檢測后確定了所有感染者,則感染者人數(shù)最多為______人.若待檢測的總?cè)藬?shù)為SKIPIF1<0,且假設(shè)其中有不超過2名感染者,采用“二分檢測法”所需檢測總次數(shù)記為n,則n的最大值為______.6.(2022·河南信陽·高一期末)下列函數(shù)圖象與x軸都有交點(diǎn),其中不能用二分法求其零點(diǎn)的是___________.(寫出所有符合條件的序號(hào))第四部分:高考真題感悟第四部分:高考真題感悟1.(2021·天津·高考真題)設(shè)SKIPIF1<0,函數(shù)SKIPIF1<0,若SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)恰有6個(gè)零點(diǎn),則a的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<02.(2020·全國·高考真題(理))若SKIPIF1<0,則(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<03.(2020·天津·高考真題)已知函數(shù)SKIPIF1<0若函數(shù)SKIPIF1<0恰有4個(gè)零點(diǎn),則SKIPIF1<0的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<04.(2021·江蘇·高考真題)已知函數(shù)SKIPIF1<0,若其圖像上存在互異的三個(gè)點(diǎn)SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,使得SKIPIF1<0,則實(shí)數(shù)SKIPIF1<0的取值范圍是__________.5.(2021·北京·高考真題)已知函數(shù)SKIPIF1<0,給出下列四個(gè)結(jié)論:①若SKIPIF1<0,SKIPIF1<0恰有2個(gè)零點(diǎn);②存在負(fù)數(shù)SKIPIF1<0,使得SKIPIF1<0恰有個(gè)1零點(diǎn);③存在負(fù)數(shù)SKIPIF1<0,使得SKIPIF1<0恰有個(gè)3零點(diǎn);④存在正數(shù)SKIPIF1<0,使得SKIPIF1<0恰有個(gè)3零點(diǎn).其中所有正確結(jié)論的序號(hào)是_______.第五部分:第08講函數(shù)與方程(精練)第五部分:第08講函數(shù)與方程(精練)一、單選題1.(2020·新疆·烏魯木齊市第三十一中學(xué)高一期末)已知函數(shù)SKIPIF1<0,則零點(diǎn)所在的區(qū)間可以為(
)A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<02.(2020·江西省興國縣第三中學(xué)高三階段練習(xí)(理))二次函數(shù)SKIPIF1<0的部分對(duì)應(yīng)值如下表:SKIPIF1<0-3-2-101234SKIPIF1<06SKIPIF1<0-4-6-6-4SKIPIF1<06可以判斷方程SKIPIF1<0的兩根所在的區(qū)間是(
)A.SKIPIF1<0和SKIPIF1<0 B.SKIPIF1<0和SKIPIF1<0C.SKIPIF1<0和SKIPIF1<0 D.SKIPIF1<0和SKIPIF1<03.(2020·全國·高一課時(shí)練習(xí))設(shè)函數(shù)SKIPIF1<0與SKIPIF1<0的圖象交點(diǎn)為SKIPIF1<0,則SKIPIF1<0所在區(qū)間是(
)A.(0,1) B.(1,2) C.(2,3) D.(3,4)4.(2020·四川·廣安二中高一期中)函數(shù)SKIPIF1<0的一個(gè)正數(shù)零點(diǎn)附近的函數(shù)值用二分法逐次計(jì)算,參考數(shù)據(jù)如下:SKIPIF1<0
SKIPIF1<0
SKIPIF1<0SKIPIF1<0
SKIPIF1<0
SKIPIF1<0那么方程的一個(gè)近似解(精確度為0.1)為(
)A.1.5 B.1.25 C.1.41 D.1.445.(2020·全國·高三專題練習(xí))已知函數(shù)SKIPIF1<0,若方程SKIPIF1<0有四個(gè)不同的解SKIPIF1<0且SKIPIF1<0,則SKIPIF1<0的取值范圍是(
)A.SKIPIF1<0 B.SKIPIF1<0 C.SKIPIF1<0 D.SKIPIF1<06.(2020·全國·高三專題練習(xí))已知函數(shù)SKIPIF1<0,SKIPIF1<0,SKIPIF1<0的零點(diǎn)分別為SKIPIF1<0,SKIPIF1<0,SKIPIF1<0,則(
).A.SKIPIF1<0 B.SKIPIF1<0C.SKIPIF1<0 D.SKIPIF1<07.(2020·四川·廣安二中高一期中)已知函數(shù)SKIPIF1<0,其中SKIPIF1<0,若存在實(shí)數(shù)SKIPIF1<0,使得關(guān)于SKIPIF1<0
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