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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.C13.6−14.115.1216.1718,3tan()sin(2)cos()217()9cos()ta
n(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∴102221211222221211221212118(32)912474(2)(2)4476(32)(2)6aeeeeeebeeeeeeabeeeee=−+=−++==+=++=
=−++=−、(1)221227282712cos,10277,0,180,=120eeeababababab++=−−
===−则∴12
19A=1T=T==2322()2sin(2)2(,2)3fxxP
=+−、(1)由题意可知2,,,代入43+=+2,2,0532626
()2sin(2)66272122366kkZkkZfxxxx=+==+
+可得由,得∵,∴∴(2)∵∴maxmin82()21062672()112662xx
fxxxfx+===+===−
当即时,当即时,(注:没写出1x相应的的值,每个扣分)221sin1cos20cossin1sin1cos(1sin)(1cos)cossin(1sin)(1
sin)(1cos)(1cos)1sin1coscossin3cossin2−+++−−+=++−−+−+=+
、(1)由原式1=sin11cossincos551241+2sincos2sincos625257sincos12sincos25aa−++=+
===−−=−=平方得,即∵,∴2273s
in2sincoscos122221tantan2cossin2sincos(cossin)10sincoscossin247168255125
−−+++−==−+=−−=(2)()()12
21()3cos3sin23sin()2323BC=4T2=4T=8==4284()23sin()43fxxxxfxx=+=+
=+、(1)由已知可得因为正三角形的高为,则即,,0522,2432
10288,33102()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()104342437623()2555fxxx+=+
+=++=+=12
23122()2cossin()2cos(sincos)62231113cossincossin2cos2sin(2)222262131()sin()4322fxabxxxxxxxxx
xxf==−=−=−=−−=−−−=−=、42,+61221()+712
222()12sin()62()0212sin(),0,226sin(),0,6kxkkZxkZkfxkZgxmxygxmxxyxx−==−
=−−−+=−+=−=−(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+1122mytxxyt
tmmm−=+=−=−−+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,