《函數(shù)的基本性質(zhì)》試卷一、選擇題1．已知函數(shù)SKIPIF1<0，SKIPIF1<0，則SKIPIF1<0的奇偶性依次為（）A．偶函數(shù)，奇函數(shù)B．奇函數(shù)，偶函數(shù)C．偶函數(shù)，偶函數(shù)D．奇函數(shù)，奇函數(shù)2．若SKIPIF1<0是偶函數(shù)，其定義域?yàn)镾KIPIF1<0，且在SKIPIF1<0上是減函數(shù)，則SKIPIF1<0的大小關(guān)系是（）A．SKIPIF1<0>SKIPIF1<0B．SKIPIF1<0<SKIPIF1<0C．SKIPIF1<0SKIPIF1<0SKIPIF1<0D．SKIPIF1<0SKIPIF1<0SKIPIF1<03．已知SKIPIF1<0在區(qū)間SKIPIF1<0上是增函數(shù)，則SKIPIF1<0的范圍是（）A.SKIPIF1<0B.SKIPIF1<0C.SKIPIF1<0D.SKIPIF1<04．設(shè)SKIPIF1<0是奇函數(shù)，且在SKIPIF1<0內(nèi)是增函數(shù)，又SKIPIF1<0，則SKIPIF1<0的解集是（）A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1<05．已知SKIPIF1<0其中SKIPIF1<0為常數(shù)，若SKIPIF1<0，則SKIPIF1<0的值等于()A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1<06．函數(shù)SKIPIF1<0,則下列坐標(biāo)表示的點(diǎn)一定在函數(shù)f(x)圖象上的是（）A．SKIPIF1<0B．SKIPIF1<0C．SKIPIF1<0D．SKIPIF1<0二、填空題1．設(shè)SKIPIF1<0是SKIPIF1<0上的奇函數(shù)，且當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則當(dāng)SKIPIF1<0時(shí)SKIPIF1<0_____________________。2．若函數(shù)SKIPIF1<0在SKIPIF1<0上為增函數(shù),則實(shí)數(shù)SKIPIF1<0的取值范圍是。3．已知SKIPIF1<0，那么SKIPIF1<0＝_____。4．若SKIPIF1<0在區(qū)間SKIPIF1<0上是增函數(shù)，則SKIPIF1<0的取值范圍是。5．函數(shù)SKIPIF1<0的值域?yàn)開(kāi)___________。三、解答題1．已知函數(shù)SKIPIF1<0的定義域是SKIPIF1<0，且滿足SKIPIF1<0,SKIPIF1<0,如果對(duì)于SKIPIF1<0,都有SKIPIF1<0,（1）求SKIPIF1<0；（2）解不等式SKIPIF1<0SKIPIF1<0。2．當(dāng)SKIPIF1<0時(shí)，求函數(shù)SKIPIF1<0的最小值。3．已知SKIPIF1<0在區(qū)間SKIPIF1<0內(nèi)有一最大值SKIPIF1<0，求SKIPIF1<0的值.4．已知函數(shù)SKIPIF1<0的最大值不大于SKIPIF1<0，又當(dāng)SKIPIF1<0，求SKIPIF1<0的值。答案一、選擇題1.DSKIPIF1<0，畫(huà)出SKIPIF1<0的圖象可觀察到它關(guān)于原點(diǎn)對(duì)稱或當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則SKIPIF1<0當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0，則SKIPIF1<0SKIPIF1<02.CSKIPIF1<0，SKIPIF1<03.B對(duì)稱軸SKIPIF1<04.D由SKIPIF1<0得SKIPIF1<0或SKIPIF1<0而SKIPIF1<0即SKIPIF1<0或SKIPIF1<05.D令SKIPIF1<0，則SKIPIF1<0為奇函數(shù)SKIPIF1<0BSKIPIF1<0為偶函數(shù)SKIPIF1<0一定在圖象上，而SKIPIF1<0，∴SKIPIF1<0一定在圖象上二、填空題1．SKIPIF1<0設(shè)SKIPIF1<0，則SKIPIF1<0，SKIPIF1<0∵SKIPIF1<0∴SKIPIF1<02.SKIPIF1<0且SKIPIF1<0畫(huà)出圖象，考慮開(kāi)口向上向下和左右平移3.SKIPIF1<0SKIPIF1<0，SKIPIF1<0SKIPIF1<04.SKIPIF1<0設(shè)SKIPIF1<0則SKIPIF1<0，而SKIPIF1<0SKIPIF1<0，則SKIPIF1<05.SKIPIF1<0區(qū)間SKIPIF1<0是函數(shù)SKIPIF1<0的遞減區(qū)間，把SKIPIF1<0分別代入得最大、小值三、解答題1、解：（1）令SKIPIF1<0，則SKIPIF1<0（2）SKIPIF1<0SKIPIF1<0SKIPIF1<0，SKIPIF1<0則SKIPIF1<0。2、解：對(duì)稱軸SKIPIF1<0當(dāng)SKIPIF1<0，即SKIPIF1<0時(shí)，SKIPIF1<0是SKIPIF1<0的遞增區(qū)間，SKIPIF1<0；當(dāng)SKIPIF1<0，即SKIPIF1<0時(shí)，SKIPIF1<0是SKIPIF1<0的遞減區(qū)間，SKIPIF1<0；當(dāng)SKIPIF1<0，即SKIPIF1<0時(shí)，SKIPIF1<0。3．解：對(duì)稱軸SKIPIF1<0，當(dāng)SKIPIF1<0即SKIPIF1<0時(shí)，SKIPIF1<0是SKIPIF1<0的遞減區(qū)間，則SKIPIF1<0，得SKIPIF1<0或SKIPIF1<0，而SKIPIF1<0，即SKIPIF1<0；當(dāng)SKIPIF1<0即SKIPIF1<0時(shí)，SKIPIF1<0是SKIPIF1<0的遞增區(qū)間，則SKIPIF1<0，得SKIPIF1<0或SKIPIF1<0，而SKIPIF1<0，即SKIPIF1<0不存在；當(dāng)SKIPIF1<0即SKIPIF1<0時(shí)，則SKIPIF1<0，即SKIPIF1<0；∴SKIPIF1<0或SKIPIF1<0。4．解：SKIPIF1<0，對(duì)稱軸SKIPIF1<0，當(dāng)SKIPIF1<0時(shí)，SKIPIF1<0是SKIPIF1<0的遞減區(qū)間，而SKIPIF1<0，即