题目
如图，已知△ABC是面积为的等边三角形，△ABC∽△ADE，AB＝2AD，∠BAD＝45°，AC与DE相交于点F，则△AEF的面积等于_____（结果保留根号）． 答案：【解析】 【分析】 如图，过点F作FH⊥AE交AE于H，过点C作CM⊥AB交AB于M，根据等边三角形的性质可求出AB的长，根据相似三角形的性质可得△ADE是等边三角形，可得出AE的长，根据角的和差关系可得∠EAF=∠BAD=45°，设AH＝HF＝x，利用∠EFH的正确可用x表示出EH的长，根据AE=EH+AH列方程可求出x的值，根据三角形18、Life is not easy，so I'd like
to say，“No matter what happens，believe
in yourself．”
When I was 14，I was too ___1___ to talk to
anyone．My classmates often laughed at me．I was sad but could do nothing．Later，___2___ happened．It changed my life．It was an English speech contest．My mother
asked me to take part in it．What a（an）___3___ idea! It meant I had to
___4___ in front of all the teachers and students of my school．
“Come on，boy．Believe in yourself．Yon are sure to ___5___．” she said．Then Mother and I talked about many different topics．At last I chose the topic “Believe in
yourself”．I tried my best to remember all the speech
and practiced it over 100 times．To my mother’s great joy，I did ___6___ in the
contest，I could ___7___ believe my ears when the
result came that I had won the first place．I heard ___8___
from the teachers and students．Those classmates who
once looked down on me，now all said “Congratulations” to me．My mother hugged（拥抱）me and cried ___9___．
Since then，everything has ___10___．When I do anything，I try to tell myself to be
sure that I wilt find myself．This is true not only for
a person but also for a country．
1．A．brave
B．shy
C．excited
D．1azy
2．A．something
B．nothing
C．anything
D．everything
3．A．interesting
B．wonderful
C．awful
D．sad
4．A．listen
B．speak
C．think
D．write
5．A．succeed
B．fail
C．lose
D．defeat
6．A．terribly
B．badly
C．good
D．well
7．A．almost
B．hardly
C．nearly
D．always
8．A．cheers
B．noises
C．thanks
D．hopes
9．A．angrily
B．sadly
C．quickly
D．excitedly
10．A．changed
B．lost
C．gone
D．ended
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