高考數(shù)學(xué)（重慶專用 理科）一輪復(fù)習(xí)題庫(kù) 選考部分選修4－5不等式選講 Word版含解析

1、課時(shí)作業(yè)71不等式選講填空題1不等式|2x1|x的解集是_2已知實(shí)數(shù)集r，集合mx|x2|2，集合n，則m(rn)_.3對(duì)于實(shí)數(shù)x，y，若|x1|1，|y2|1，則|x2y1|的最大值為_(kāi)4不等式|xx22|x23x4的解集是_5如果關(guān)于x的不等式|xa|x4|1的解集是全體實(shí)數(shù)，則實(shí)數(shù)a的取值范圍是_6已知函數(shù)，則不等式f(x)f的解集為_(kāi)7不等式|x3|x2|3的解集為_(kāi)8若不等式|x1|x3|a對(duì)任意的實(shí)數(shù)x恒成立，則實(shí)數(shù)a的取值范圍是_9如果存在實(shí)數(shù)x使不等式|x1|x2|k成立，則實(shí)數(shù)k的取值范圍是_10已知函數(shù)f(x)|x2a|，不等式f(x)4的解集為x|2x6，則a_；若存在x

2、r，使不等式f(x)f(x2)m成立，則實(shí)數(shù)m的取值范圍是_11設(shè)函數(shù)f(x)，當(dāng)m4時(shí)，函數(shù)f(x)的定義域?yàn)開(kāi)；若不等式f (x)0的解集為r，則m的取值范圍是_12不等式|x29|3x的解集是_13對(duì)于任意實(shí)數(shù)a(a0)和b，不等式|ab|ab|a|(|x1|x2|)恒成立，則實(shí)數(shù)x的取值范圍是_14關(guān)于x的不等式|3x2|2m1的解集是_15如果關(guān)于x的不等式|x3|x4|a的解集不是空集，則參數(shù)a的取值范圍是_參考答案填空題1解析：不等式|2x1|x等價(jià)于解得由此可得不等式|2x1|x的解集為2x|0x1解析：由已知得mx|0x4，nx|x1，m(rn)x|0x4x|x1x|0x13

3、5解析：|x2y1|x12(y2)2|x1|2|y2|21225當(dāng)且僅當(dāng)x0，y3時(shí)取等號(hào)4x|x3解析：|xx22|x2x2|，而x2x20恒成立，原不等式等價(jià)于x2x2x23x4，即2x6，x3故原不等式的解集為x|x35(，53，)解析：在數(shù)軸上，結(jié)合絕對(duì)值的幾何意義，可知a5或a36解析：f，當(dāng)x1時(shí)，f(x)xx，由可解得1x2；當(dāng)0x1時(shí)，f(x)xx，由x可解得x1，綜上可得不等式f(x)f的解集為7x|x1解析：原不等式可化為或或解得x或1x2或x2所以原不等式的解集為x|x18(，0)2解析：當(dāng)a0時(shí)，顯然成立；當(dāng)a0時(shí)，|x1|x3|的最小值為4，a4a2綜上可知a(，0)

4、29(3，)解析：令f(x)|x1|x2|，則f(x)作出其圖象，可知f(x)min3，即k3101m2解析：由f(x)4得|x2a|4，解得2a4x2a4，又已知不等式f(x)4的解集為x|2x6，所以解得a1所以f(x)|x2|設(shè)g(x)f(x)f(x2)，即g(x)|x2|x|當(dāng)x0時(shí)，g(x)2；當(dāng)0x2時(shí)，g(x)2；當(dāng)x2時(shí)，g(x)2綜上，g(x)2，故m211x|x1或x3(，2解析：當(dāng)m4時(shí)，|x|x2|40故有x|x1或或x|x3，函數(shù)f(x)的定義域?yàn)閤|x1或x3由題知0的解集為r，即m|x|x2|的解集為r設(shè)g(x)|x|x2|xx2|2，則mgmin(x)2，即m(

5、，212x|x3，或2x4131415(1，)高考資源網(wǎng)版權(quán)所有！投稿可聯(lián)系qq：1084591801c29c91afe4ced1b6c8795ad9c91afe4ced1b6c8795ad91afe4ced1b6c8795ad9c91fe4ced1b6c8795ad29c91afedd1b6c87d1b6c8795ad9c91afe4ced1b6c8795ad91afe4ced1b6c8795ad9c91fe4ced1b6c8795ad29c91af95ad9c91afe4ced1b6c8795ad91afe4ced1b6c8795ad9d1b6c8795ad9c91afe4ced1b6c8

6、795a1afe4ced1b6c8795ad91afe4ced1b6c8795ad9c91fe4ced1b6c8795ad29c91afc91fe4ced1d1b6c8795ad9c91afe4ced1b6c8795ad91afe4ced1b6cd1b6c8795ad9c91afe4ced1b6c8795ad91afe4ced1b6c8795ad9c91fe4ced1b6c8795ad29c91af8795ad9c91fe4ced1d1b6c8795ad9c91afe4ced1b6c8795ad91afe4ced1b6c87d1b6c8795ad9c91afe4ced1b6c8795ad91a

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8、4ced1b6c8795ad91afe4ced1b6c8795ad9c91fe4ced1b6c8795ad29c91affe4ced1b6c8795ad29c91afc8795ad9c91fe4ced1b6c8795ad29c91afd1b6c8795ad9c91afed1b6c8795ad9c91afe4ced1b6c8795ad91afe4ced1b6c8d1b6c8795ad9c91afe4ced1d91afe4ced1b6c8795ad9c91fe4ced1b6c8795ad29c91afc91fe4ced1d1b6c871afe4ced1b6c8795ad91afe4ced1b6c8

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