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2020学年第二学期温州新力量联盟期中联考高二年级数学学科参考答案一、本大题共10题,每小题4分,共40分,在每个小题给出的四个选项中,只有一项是符合题目要求的。题号12345678910答案BACC
CDCABC二、填空题:本大题共7小题,多空题每题6分,单空题每题4分,共36分,51.17152.16365.152290.145.123.13.12212.11exyei二、解答题
:本大题共5小题,共74分.解答应写出文字说明、证明过程或演算步骤.分,,的单调递增区间为函数分得由分分解析:7................2125125....212512,2232223.............
...............................................2332sin2.................................................22cos132sin2
1sin3cossin1.182ZkkkxfkxkZkkxkxxxxxxxf分或的值为综上所述,分时,当分不合题意时,当分时当
分上的最大值为在则,上的最大值为,在14...........................................................................23113......
23343323,332323,0011................................................................0)(010.......13332332,3323,008........................
...................233,032sin33,02332sin)(2aaaaaxxaxgaaaaaxx
aaxaxaxfxg19(1)证明:在该组合体中,平面PAD底面ABCD,且平面PAD底面ABCDAD,CDADCD底面PAD故有CDPD…………………………………
…..4分同理可证ADPD………………………………………..5分又AD,CD是底面ABCD的两条相交直线,PD底面ABCD……………………………………….7分(2)取AD的中点G,连GF,GB则GF底面ABCD,故EF在底面的射
影是GB………………….9分当点E与B重合时,所成的线面角最大……………………………..11分122GFDP172GB在RtBGF中,GFGB,故045GBF…………………….13分故不
可能在BE上存在点,满足条件。……………………...15分(说明:其它解法,按相应给分)分解得分分由题可知,解析:6.......................................................
.............1ln1,03...................................................................111111...................................................
...11ln11.20''xxfnmmfmxxfnmf分恒成立对定义域内的时,当分上单调递减,上单调递增,在单调递减,在又由分且分的最大值不大于即求分恒成立对任意恒成立对定义域内15...
......................................114...............................................................................1
111,001ln111..................................................................011ln19..................................
........................1ln8.......01ln21max'1'111xaexfagxgaxgxxygexxxgaexxgxexaxaexfxxxxx
分分的方程为设直线抛物线方程为分故由题知,解析:8....................1441111115...........................................
..........................4,404441,,,,1.42.....................................................20,11.21222121212121212
222112yyxxxxxxBFAFBFAFDFBFFCAFBDACyymyymyyxymyxyxByxAmyxlxypF分即的方程为分故分,,可求得知由
分15...................................042414213................................422142522212211........
....................212119....................................................044222121
yxyxlmmyymxxCDBDACABBDACBDACmBDACSSBODAOC分都成立,可知猜想对任何和根据分时猜想也成立当那么分猜想成立,即假设分满
足通项公式时,当数学归纳法证明:分猜想计算解法解析:7......................................216..................................................
..................11111212124.....................................123............................................2111112....
.............145,34,2311.22*1*1432NnknkkkkkkaakkaNkknannnaaaakkkn分求得分的等差数列公差为是以首项为分:解法7................................
.............................11115.............................11114............................................111
11111122111nanaaaaaaaaaaannnnnnnnnnnn分分则知,由15....................................................
.......................................33321333211217151513112..................................................................................
..32112112321232123212322123232112321,1212321nnnccccSnnnnnnnnnnnnnnncnbnnnn