高二數(shù)學(xué)直接證明與間接證明測(cè)試題

1、數(shù)學(xué)：2.2《直接證明與間接證明》測(cè)試（新人教A版選修22）[基礎(chǔ)訓(xùn)練A組]一、選擇題1數(shù)列25112047x…中的x等于（）A28B32C33D272設(shè)(0)abc???則111abcbca???（）A都不大于2?B都不小于2?C至少有一個(gè)不大于2?D至少有一個(gè)不小于2?3已知正六邊形ABCDEF，在下列表達(dá)式①ECCDBC??；②DCBC?2；③EDFE?；④FAED?2中，與AC等價(jià)的有（）A1個(gè)B2個(gè)C3個(gè)D4個(gè)4函數(shù)]20[)

2、44sin(3)(??在??xxf內(nèi)（）A只有最大值B只有最小值C只有最大值或只有最小值D既有最大值又有最小值5如果821aaa???為各項(xiàng)都大于零的等差數(shù)列，公差0?d，則（）A5481aaaa?B5481aaaa?C5481aaaa???D5481aaaa?6若234342423log[log(log)]log[log(log)]log[log(log)]0xxx???，則xyz???（）A123B105C89D587函數(shù)xy1?在

3、點(diǎn)4?x處的導(dǎo)數(shù)是()A81B81?C161D161?二、填空題1從222576543343211?????????中得出的一般性結(jié)論是_____________。2已知實(shí)數(shù)0?a，且函數(shù))12()1()(2axxaxf????有最小值1?，則a=__________。（數(shù)學(xué)選修22）第二章推理與證明[基礎(chǔ)訓(xùn)練A組]參考答案一、選擇題1B523115620119??????推出201232xx???2D1116abcbca???????

4、，三者不能都小于2?3D①BCCDECBDECAEECAC???????????????????????????????????????；②2BCDCADDCAC????????????????????????③FEEDFDAC???????????????????；④2EDFAFCFAAC????????????????????????，都是對(duì)的4D242T????，[0]2?已經(jīng)歷一個(gè)完整的周期，所以有最大、小值5B由1845aaa

5、a???知道C不對(duì)，舉例18451845nanaaaa?????6C3234344log[log(log)]0log(log)1log3464xxxx?????4342422log[log(log)]0log(log)1log4216xxxx?????423233log[log(log)]0log(log)1log29xxxx????89xyz???7D1322(4)111112162244yxyxyxxx?????????????二、

6、填空題121...212...32(21)nnnnnnnN????????????注意左邊共有21n?項(xiàng)2121()2fxaxxaa????有最小值，則0a?，對(duì)稱軸1xa?，min1()()1fxfa???即2211112()()20120(0)1faaaaaaaaaaaa????????????????3xy?22222()()()22ababyababx?????????4155512lg2512lg21154.112155.11