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1、20212022 学年度第二学期期中质量检测 215515(, 64) 14C23A124324C A =2244CC24C2224440CCC3=5x =11y =10112a+=2a =2210(6)3yxx=+222( )(3)10(6) 2 10(3)(6)3f xxxxxx=+=+36x2( )10(6)2(3)(6)fxxxx=+30(4)(6)xx=( )0fx=4x=x(3,4)4(4,6)( )fx+0( )f x424x=( )f x(4)42f=4x =42012(1)CCC1222nnnn nn+= +=6n=7n=36662166()1C (2 )2rrrrrrrTx
2、Cxx+=3602r=4r =12646 4652C 260Tx=1k +6176661566C 2C2C 2C2kkkkkkkk+4733kkZ2k =332436C 2240Txx=32( )2f xxxx=+2( )341fxxx=+( )yf x=2x=(2)12 8 15f= + =(2,2)25(2)yx=580 xy =O( )yf x=0 x=(0)1f=yx=O32( ,2)m mmm+0m( )yf x=xm=3222( )341mmmf mmmm+=+ =1m=(1,0)00y =yx=0y =2( )ln3f xxxx=+(0,)+1(21)(1)( )23xxfxxx
3、x=+ =( )0fx=12x =1x =x1(0, )2121( ,1)21(1,)+( )fx+00+( )f x5ln2421x =( )f x(1)2f=1x21,2x 12xx211212()( )()m xxf xf xx x1212( )()mmf xf xxx( )myf xx=1,22( )( )ln3mmh xf xxxxxx=+1,2x21( )230mh xxxx=+ +1,23223mxxx+1,232( )23F xxxx= +(12)x2211( )6616()22F xxxx= + = +1,2x( )0F x( )F x1,2( )(2)6F xF=6mm(,
4、 6 21( )ln2f xxax=(0,)+211( )axfxaxxx=0a( )0fx( )f x(0,)+0a (0,)axa( )0fx( )f x(,)axa+( )0fx( )f x0a( )f x(0,)+0a ( )f x(0,)aa( )f x(,)aa+0 x( )( )f xg xln1e1xxax+0 x ln1( )e1xxm xx+=0 x min( )am x222lneln( )exxxxxm xxx+=+=2( )elnxh xxx=+0 x 21( )(2 )e0 xh xxxx=+( )h x(0,)+1( )ln2024eh=(1)e0h=01( ,1)2x 02000()eln0 xh xxx=+=00 xx( )0m x( )m x0 xx( )0m x( )m x000min0eln1( )1xxxm xx=02000()eln0 xh xxx=+=001ln0000001111elnlnelnxxxxxxxx= =( )exp xx=(0)x 0001lnlnxxx= 0000lnln( e )0 xxxx+=00e1xx=()0000min0011eln1( )110 xxxxm xxx = = =a(,0