Thinking of thal, my face felt hot. To our amazement, Mrs. Ferguson replied, " You are welcometo plug it in here. When saying that, she pointed to the mirror in her room.That' s really nice ofyou."Alex and I said and walked into her room. When we were fixing our hair Mrs. Ferguson chattedwith us about our tryout for cheerleaders. We had a pleasant chat, during which I found MrsFerguson genuinely cared about her studentsParagraph 2:When we were to leave, Mrs. Ferguson said,"Can I watch your tryout? " Of course, MrsFerguson, we'd be honored, I replied, feeling amazed again. During the tryout, both Alex and Iperformed well and passed the test. Mrs. Ferguson sincerely congratulated us. Meanwhile, sheinded us to study hard when we tried to develop our personality by being cheerleaders. ThrouglFerguson, we'd be honored, " I replied, feeling amazed again. Duringperformed well and passed the test. Mrs. Ferguson sincerely congratulated us. Meanwhile, shereminded us to study hard when we tried to develop our personality by being cheerleaders. Througlthese and many other nice gestures, Mrs. Ferguson gradually gained love and support from all of usHow blessed we were to have another great teacher

21.(本题满分18分)本题共有3个小题,第1小题满分4分,第2小题满分6分,第3题满分8分解(1)∵数列{an}的通项公式为an=()(m=123…,K),考察指数函数y=(y(e)的图像与性质,知数列{a}是单调递减数列,即a>an,(n=12…,k-DA=mina,,a2>",a,,a =G)B=max{an2qnx…,ax1,ax}=(y"(=12…,K-1)d=A-B1=(-)()G=12…,x-为所求的通项公式(2):数列{an}(=12…K)满足a=34=1(=12…K-1)依据题意,由1=1>0,知a>吗2;由山2=1>0,知a2>吗;依此类推,有(2):数列{an}(=12…K)满足a=34=1(=12…K-1)依据题意,由=1>0,知a>吗;由山=1>0,知a2>吗;依此类推,有即4>x…>a1>a,于是,数列{o}(=12…,K)是单调递减数列,,=B=mx{an12a12…“3akn4x}=an(i=12…K-D数列{a}是首项a=3,公差为1的等差数列a=a1+(n-1d=4-m(n=12y,K)构造数列物}:=d0 a",即数列{b是单调递减数列:由函数y=k(x∈k<0的性质,知数列{n}是单调递减数a"+bm>a"+B(n+1),即an>a1(m=123…,x-D数列{a}是单调递减数d=a-aa=(1-a)d-b=123-,K-1b=123;-K-1d-4n=0-a)x-b-[-a)-b-=(-a)2d>0,即数列{4}(=12…,K-D)是单调递减数数列{a}是满足条件的数

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