高考數(shù)學(xué)（理）二輪專題突破演練（浙江專版）第3部分 專題2 保溫訓(xùn)練卷4 Word版含解析

1、保溫訓(xùn)練卷(四)一、選擇題1a為正實(shí)數(shù)，i為虛數(shù)單位，2，則a()a2 b.c. d1解析：選b由已知2，得|(ai)(i)|1ai|2，2，a0，a.2已知tan()，tan，那么tan()a. b.c. d.解析：選btantan.3已知雙曲線1(a0，b0)的一條漸近線方程是yx，則該雙曲線的離心率為()a. b.c. d.解析：選c依題意，所以ba，ca.故e.4如圖所示的程序框圖輸出的所有點(diǎn)都在函數(shù)()ayx1的圖像上 by2x的圖像上cy2x的圖像上 dy2x1的圖像上解析：選d依題意，運(yùn)行程序框圖，輸出的點(diǎn)依次為(1,1)，(2,2)，(3,4)，(4,8)，易知這四個(gè)點(diǎn)均在y2

2、x1的圖像上5把函數(shù)ysin的圖像向左平移個(gè)單位后，所得函數(shù)的單調(diào)遞增區(qū)間為()a.(kz)b.(kz)c.(kz)d.(kz)解析：選b依題意，把函數(shù)ysin的圖像向左平移個(gè)單位后，所得函數(shù)為ysin，由2k2x2k，得kxk(kz)，所以所得函數(shù)的單調(diào)遞增區(qū)間為(kz)6已知實(shí)數(shù)a、b滿足等式2a3b，下列五個(gè)關(guān)系式：0ba；ab0；0ab；ba0.(1)若曲線yf(x)在點(diǎn)(1，f(1)處的切線與直線yx1垂直，求a的值；(2)若函數(shù)f(x)在區(qū)間1,2上的最小值為，求a的值解：f(x)(x0)(1)曲線yf(x)在點(diǎn)(1，f(1)處的切線與直線yx1垂直，f(1)2，即1a2，解得a3

3、.(2)當(dāng)00在1,2上恒成立，這時(shí)f(x)在1,2上為增函數(shù)，f(x)minf(1)a1，a1，a，與0a1矛盾，舍去；當(dāng)1a2時(shí)，可知當(dāng)x(1，a)時(shí)，f(x)0，f(x)在(a,2上為增函數(shù)，f(x)minf(a)ln a，ln a，a，滿足題設(shè)；當(dāng)a2時(shí)，f(x)0在(1,2)上恒成立，這時(shí)f(x)在1,2上為減函數(shù)，f(x)minf(2)ln 21，ln 21，a32ln 2，與a2矛盾，舍去；綜上得a.高考資源網(wǎng)版權(quán)所有！投稿可聯(lián)系qq：108459180129c91afe4ced1b6c8795ad9c91afe4ced1b6c8795ad91afe4ced1b6c8795ad9

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