英语周报 2018-2022 高一 HZ 27答案

ex-laet21.【解析】(1)f(x)=xae(x-1) 1-x(x-1)(ae-1)①当a≤0时,ae-1<0,由f(x)>0→0 1f(x)在(0,1)上递增,在(1, ∞)上递减②当0 1,由f(x)>00 ln由f(x)<0→1 0恒成立,f(x)在(0, ∞)上递增④当- 0→0 1,由f(x)<0→ln- 0→x>1,由f(x)<0→0 0.g(x)单调递增,当x∈(xn ∞)时,g(x)<0g(x)单调递减g(x)sg(ro)=七-hnx e-1=1-lx e-2因为g(x0)在[一,1上递减,∴g(x)≤g()=a na e-2只要证:ae-l≥a lna e-2令F(a)=ae-1-a-lna-e 2,则F(a)=e-l、>0所以函数F(a)在a∈[, ∞)上递增,∴F(a)≥F(1)=e-1-1-0-e 2=0成立所以原命题成立

第三节One possible version:Paragraph 1One night afier the museum closes, Maria appears atthe gate of the museum. She enters the building quietlyusing the security code that Max shared with her. Whendealing with a beautiful woman, men can be so stupid,she laughs to herself. She sneaks into the jewelry exhibitand destroys the alarms. Then she walks up to the glasscase protecting the Black Diamond and unlocks it with thekey she stole from Max. She laughs, "The Black Diamondis mineParagraph 2As she holds the diamond in her hands, the lights inhe museum go on. Then an alarm sounds and a team ofThey have caught her! As a police officerhandcuffs Maria, the lead police investigator comes into theroom. Her surprise is so strong that she is unable to speakIt is Max. She yells, How could I have been fooled byyou, a simple police detective? "Max puts his badge backin his pocket and says, "You can think about that in pris-on, and by the way, I speak perfect Italian

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