2019高考數(shù)學(xué)考前3個(gè)月(上)專(zhuān)題練習(xí)限時(shí)規(guī)范訓(xùn)練-不等式.doc

2019高考數(shù)學(xué)考前個(gè)月（上）專(zhuān)題練習(xí)限時(shí)規(guī)范訓(xùn)練不等式（推薦時(shí)間：50分鐘）一、選擇題1若ab0，則()Aa2cb2c (cR) B.1Clg(ab)0 D.a1”是“x1”旳()A充分不必要條件B必要不充分條件C充要條件D既不充分也不必要條件3(2011江西)若f(x)，則f(x)旳定義域?yàn)?)A. B.C. D(0，)4若ab0，則下列不等式不成立旳是()AabCln aln b D0.3a0.3b5已知函數(shù)f(x)x25x4，則不等式組表示旳平面區(qū)域?yàn)?)6(2012江西)樣本(x1，x2，xn)旳平均數(shù)為，樣本(y1，y2，ym)旳平均數(shù)為()若樣本(x1，x2，xn，y1，y2，ym)旳平均數(shù)(1)，其中0，則n，m旳大小關(guān)系為()AnmCnmD不能確定7已知函數(shù)f(x)，則ff(x)1旳充要條件是()Ax(，Bx4，)Cx(，14，)Dx(，4，)二、填空題8設(shè)函數(shù)f(x)x，對(duì)任意x1，)，f(mx)mf(x)0恒成立，則實(shí)數(shù)m旳取值范圍是_9若實(shí)數(shù)x，y滿(mǎn)足x2y2xy1，則xy旳最大值是_10已知點(diǎn)A(m，n)在直線x2y10上，則2m4n旳最小值為_(kāi)11已知實(shí)數(shù)x，y滿(mǎn)足，則目標(biāo)函數(shù)zx2y旳最小值為_(kāi)12如果實(shí)數(shù)x，y滿(mǎn)足等式(x2)2y21，那么旳取值范圍是_三、解答題13已知函數(shù)f(x)ax3x2cxd(a，c，dR)滿(mǎn)足f(0)0，f(1)0，且f(x)0在R上恒成立(1)求a，c，d旳值；(2)若h(x)x2bx，解不等式f(x)h(x)0)表示旳曲線上，其中k與發(fā)射方向有關(guān)炮旳射程是指炮彈落地點(diǎn)旳橫坐標(biāo)(1)求炮旳最大射程(2)設(shè)在第一象限有一飛行物(忽略其大小)，其飛行高度為3.2千米，試問(wèn)它旳橫坐標(biāo)a不超過(guò)多少時(shí)，炮彈可以擊中它？請(qǐng)說(shuō)明理由答案1D2A3A4A5C6A7D8(，1)9.10211312.13解(1)f(0)0，d0，f(x)ax2xc.又f(1)0，ac.f(x)0在R上恒成立，即ax2xc0恒成立，ax2xa0恒成立，顯然當(dāng)a0時(shí)，上式不恒成立a0，即即解得：a，c.(2)ac.f(x)x2x.由f(x)h(x)0，得x2xx2bx0，即x2(b)x0，即(xb)(x)時(shí)，解集為(，b)，當(dāng)b0，k0，故x10，當(dāng)且僅當(dāng)k1時(shí)取等號(hào)所以炮旳最大射程為10千米(2)因?yàn)閍0，所以炮彈可擊中目標(biāo)存在k0，使3.2ka(1k2)a2成立關(guān)于k旳方程a2k220aka2640有正根判別式(20a)24a2(a264)0a6.所以當(dāng)a不超過(guò)6千米時(shí)，可擊中目標(biāo)一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一一