高中数学联赛模拟试题10套8

6361logab21logloglogaabbab21bablogab+logba=00ab1ab−1=0A1B2C3D42ABCabc22202230aabcabc⎧−−−=⎨+−+=⎩A150B120C90D603l22blaAB22221xyab−=a0b0ABMA222alab+B222alab++C()2222alaab−+D()2222alaab++4z4+z=1|z|=1A0B1C2D35E={(x,y)|0x2,0y2}F={(x,y)|x10,y2,yx−4}G=()()12121122,,,,22xxyyxyExyF⎧⎫++⎛⎞∈∈⎨⎬⎜⎟⎝⎠⎩⎭A6B2πC6.5D76ABCDACDABCDBABCA30B45C60D90954124πα=sinsinsinsincos4cos3cos3cos2cos2coscosααααααααααα+++_____21111121231232004+++++++++++=_____3RtABCABACCABAB_____4{1,2,3,,20}_____5bzi1zzzabz⎧+⋅=+⎪⎨≤⎪⎩ab_____6871513nnk+kn_____20xyx2+y25f(x,y)=3|x+y|+|4y+9|+|7y−3x−18|20M(2,−1)y2=xPiQi(i=1,2,3,4)P1P2P3P431241234PMPMPMPMMQMQMQMQ−−20nr0xn+1+rxn−rn+1=0r50C(I)ABCIDEFIBCCAABC(I)ADBECF50xyzx2+y2+z2=11111xyzyzzxxy+++++250nAnBnCn=2ACBCBABAAACCAABBACCBAn1A2B3D4A5D6D133240082005363−481651861122765+27310−n=1