2021-2022学年陕西省汉中市高三(上)第一次联考数学试卷(理科)

2n12n123678学年陕西汉中市高（上）第次联考数学试卷（科）一选题本题小题每题5分，分．每题出四选项，有项符合目求．{+10}B{x0}AA{1}B{1}C{11}Di1+iaA2BC

D24632mm+1mAB

{}++a1a+a2+a+aA12B30D32BsinBAC202161/19

ABCD5605A4B5C6D732020A0.3B0.5C0.6D0.8ABB45CAACA

B

D2/19

nnnnnnn8137nnnnnnn8137201920202482020202120202018nn253nxsinx+gxxAxxCsinDsinx11na}S21000nA5B6C7D8128{}{}ABa++a⋅⋅⋅+aCa+a+aa+⋅⋅+aDa二填题本题小题，小分，共分．225{}n+axsinx++cosx

[3/19

n13n1n13n1n121m．三解题共分解答写文说、明程演步．17～题必题每个题生必作．，题为考，生根要作（）考：分{}aa1{}2{na}nABCa+b117cossinPABCDPAABCDFPDPC1CDPAD2AEFABCDCab0M0112lMAMBk+4/19

22222222+ax+ax1f20

[选修—：坐标与数程]ltxCρ4lC的lCA|OB[选修—；不等选fxx+2|Ra5f9f3

sin学年陕省汉中市三（上）一次联考学试卷（理）参考答案与试题解析一选题本题小题每题5分，分．每题出四选项，有项符合目求．{+10}B{x0}AA{1}B{1}C{11}D{x0}{1}{x0}{1}B{1}A5/19

n1236n123678n1231235568123i1+iaA2BC

D21+aii2aiA

4632mm+1mAB

3

{}++a1a+a2+a+aA12B30D32{}1aqa+a+2a++aqa++a21DBsinBACABC

sinsin6/19

sinsinB

abBsinsin20216ABCDBD7/19

1313515115605A4B5C6D7aaa3a+3512+Sa6

5+10332020A0.3B0.5C0.6D0.832个01011011101010111100100111010110

ABB45CAACA

B

D8/19

nnnnnnn30+15120BC

ABC

Dxsinx+gxxAxxCsinDsinxT22

+π

fx+

ggx++D

]sinxsin11na}S21000n9/19

nnnnnnn813nnnnnnn8137201920202482020202120202018nA5B6C7D8{}

①②

①②1000n11000B

128{}{}ABa++a⋅⋅⋅+aCa+a+aa+⋅⋅+aDa123{}10/

8238124201920202482020823812420192020248202020212020201820192020201820192022nn253n3496725nn34596725nn61625Aa++a+...+1+1+2+3+5+8+13+2156ABaa+a+⋅⋅⋅+aaBCaa+a+a+⋅⋅⋅+aaD+Sa++a+aD二填题本题小题，小分，共分．225cos180cos45

{}n+aSaa+a0aa0a+24{}n72a+++a0+24{}nSSa+727211/

2222xsinx++cosxfsinxφxsinx+cosxsin+cosx+1+sinxf42+2sin4

sin+cossin2φ

+2Zk0

2sinx+x1xxxsinx+cosx1fx2ksin+sinφ

+2Zk0

mfxsinxx

[12/

n13n1nn12n13n1nn1231232112nsinsin+cos2x

xsin2x

xx2x

f[]2

[1]2

[2

2k+]x[k

kk

]ZkZnm

三解题共分解答写文说、明程演步．17～题必题每个题生必作．，题为考，生根要作（）考：分{}aa1{}2{na}n{}q1aa2+2++2q1{}13/

n1nn1n2nnn23nn23nnn1nn1n2nnn23nn23nnnnnn2222a2n{na}nS11+2+n2S1+3++n3S1+2+++2

{}

ABCa+b117cossinb+cbcAa49b49+2ab49+2a+b1149

abaABCsinAsinC

3△

6

PABCDPAABCD14/

FPDPC1CDPAD2AEFABCDPACDCDABCDCDADADPAADPACD20011AEF

15/

121222212122222122212112yz

ABCD

AEFABCDCab0M0112lMAMBk+12b1

caC

+12ABykx121k+k

kk2k+1+22+12x+xk+k

+

+16/

12221222max1k+k1+ax+ax1f20x+ax+2axx+2+1x0①f0fx0②0

x

fxxx

+时fxffafx0+f0+

xf

1ln2lnaln2lnatt0tlnt1+lngt+lntt+17/

222122210t2t0tttggln2t+lnt1+ln2a

[选修—：坐标与数程]ltxCρ