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2019—2020学年度下学期沈阳市郊联体期中考试高一试题数学答案一．选择题1.A2.B3.B4.D5.B6.C7.A8.A9.D10C11.B12.C13.6−14.115.1216.1718，3t

an()sin(2)cos()217()9cos()tan(3)2tan(sin)(sin)sin6(sin)(tan)sin()cos2xxxfxxxxxxxxx−−−=+−+−−==

−−−=−=、（1）（注：结果正确得满分，结果错误，诱导公式每正确一个得1分）（2）55cos7131312sin91312()13f=−

=−=−

，得为第三象限角∴102221211222221211221212118(32)912474(2)(2)4476(32)(2)6aeeeeeebeeeeeeabeeeee=−+=−++=

=+=++==−++=−、(1)221227282712cos,10277,0,180,=120eeeababababab++=−

−===−则∴1219A=1

T=T==2322()2sin(2)2(,2)3fxxP

=+−、（1）由题意可知2，，，代入43+=+2,2,0532626()2sin(2)66

272122366kkZkkZfxxxx=+==++

可得由，得∵，∴∴（2）∵∴maxmin82()21062672()112662xxfxxxfx+===

+===−当即时，当即时，（注：没写出1x相应的的值，每个扣分）22

1sin1cos20cossin1sin1cos(1sin)(1cos)cossin(1sin)(1sin)(1cos)(1cos)1sin1coscossin3cossin2−+++−−+=++−−+−+=+

、（1）由原式1=sin11cossincos551241+2sincos2sincos625257sincos12sincos25aa−++=+=

==−−=−=平方得，即∵，∴2273sin2sin

coscos122221tantan2cossin2sincos(cossin)10sincoscossin247168255125−−+++−==

−+=−−=（2）（）（）1221()3cos

3sin23sin()2323BC=4T2=4T=8==4284()23sin()43fxxxxfxx=+=+

=+、（1）由已知可得因为正三角形的高为，则即，，0522,243210288,33102()88733()=23kxkkZkxkkZyfxkkkZfx

−+++−++=−++

（2）令即的单调增区间为，（3）由（1）有0000083sin()=4354sin()8435102(,)(,)3343223cos()435xxxxx++=

−+−+=即由，得则0009(1)23sin()44323sin()1

04342437623()2555fxxx+=++=++

=+=12

23122()2cossin()2cos(sincos)62231113cossincossin2cos2sin(2)222262131()sin()4322fxabxxxxxxxxxxxf==−=−=−=−−=−−−=−=

、42,+61221()+712222()12sin()62()0212sin(),0,226sin(),0,6kxkkZxkZk

fxkZgxmxygxmxxyxx−==−=−−−+=−+=−=−（2）令，即，∴的对称中心为（，）（3）在，上恰有两个零点即有两

个不等实根即与119225,0,sin,,666111122221+1221+1122mytxxyttmmm−=+=−=−−+

有两个不同交点令则由正弦函数的图象可知即实数的取值范围是，