AngelsMy friend Heather mentioned that she had never seen an Angel. Then I remembered the3

Angels
My friend Heather mentioned that she had never seen an Angel. Then I remembered the 36 I had with my sister Sandra earlier this week.
This will be Sandra’s first Christmas without her husband. This summer he died in her arms. On Thursday, she was in the store 　37 for an ideal card for her two sons and daughter. Time passed by quickly as she 　38 the many choices. She wanted a card that sent something special to each of them, 　39 she knew they would have a(n) 　40 place in their heart this holiday season.
Finally! She found the one that expressed the 　41 feeling. The words expressed the feelings that she wished to share. However, a sharp pain pierced(穿透) her heart when she realized that the card was 　42 “mom and dad.” She stood there, 　43 it close for a long time, unable to move from the 　44 . Tears began to run down her cheeks.
“Is there something I can do for you?” a 　45 voice asked. She 　46 to face a stranger, a woman, who was looking at her with 　47 and concern. “Uh…oh...OH!” Sandra responded, “I can’t give this card to my children because…because my husband died and this is the 　48 card.”
Hearing this, the stranger’s face softened with sympathy(同情) and love. She reached out and　49 my sister into her arms, giving her unspoken permission to cry in the protection of her embrace(拥抱). She 　50 held my sister until her calmness　51 . “Thank you for listening to me cry on,” was what my sister said when all was better. “You are welcome, and I am so sorry for your 　52 ,” the stranger answered and said goodbye to her.
During her telling of this event I was feeling 　53 that I hadn’t been there. My sister needed me and a stranger had to do my 　54 . “You know,” she went on, “a friend suggested that it was like meeting with an Angel.” My 　55 disappeared in an instant. My sister required an Angel, and I think that is exactly what she got.
36.
A. conversation
B. difficulty
C. accident
D. quarrel
37.
A. paying
B. caring
C. calling
D. looking
38.
A. left
B. offered
C. read
D. discovered
39.
A. although
B. as
C. when
D. if
40.
A. other
B. empty
C. safe
D. different
41.
A. sad
B. strange
C. amazing
D. perfect
42.
A. for
B. to
C. from
D. by
43.
A. seizing
B. holding
C. keeping
D. grasping
44.
A. spot
B. stair
C. area
D. home
45.
A. firm
B. proud
C. cold
D. soft
46.
A. walked
B. turned
C. decided
D. woke
47.
A. question
B. shock
C. regret
D. upset
48.
A. harmful
B. special
C. wrong
D. right
49.
A. pulled
B. caught
C. sent
D. protected
50.
A. quietly
B. tightly
C. strongly
D. seriously
51.
A. disappeared
B. went
C. arrived
D. returned
52.
A. failure
B. idea
C. loss
D. death
53.
A. shocked
B. angry
C. happy
D. hopeless
54.
A. task
B. time
C. favor
D. job
55
A. responsibility
B. sympathy
C. guilt
D. hurt
36-40 ADCBB 41-45 DCBAD 46-50 BACAA 51-55 DCBDC

(答案→)36-40 ADCBB 41-45 DCBAD 46-50 BACAA 51-55 DCBDC 解析：可联系答案网客服索取此答案。

这个答案应该是对的

 ∵△abc是直角三角形 且∠a=30° bd平分∠abc ∴∠a=∠abd=∠dbc=30° ∴ad=bd 又∵∠acb=90° ∠cab=30° ∴cd=bd/2 ∴cd=ad/2 即：ad＝2dc

证明： ∵∠C＝90, ∠A＝30 ∴∠ABC＝90-∠A＝90-30＝60 ∵BD平分∠ABC ∴∠DBA＝∠DBC＝∠ABC/2＝60/2＝30 ∴∠DBA＝∠A ∴AD＝BD ∵∠DBC＝30, ∠C＝90 ∴BD＝2CD ∴AD＝2CD ∵AC＝AD+CD ∴AC＝3CD