题干

如图,在直角梯形ABCD中,AD∥BC,∠ABC=90°,BD⊥DC,BD=DC,CE平分∠BCD,交AB于点E,交BD于点H,EN∥DC交BD于点N.下列结论:
①BH=DH;②CH=(2+1)EH;③
S
△
E
N
H
S
△
E
B
H
=
E
H
E
C
.其中正确的是(  )
​

A:①②

B:②③

C:①③

D:①②③

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B

同类题1

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    彭城景思王浟,字子深,神武第五子也。博士韩毅教浟书,见浟笔迹未工,戏浟曰:“五郎书画如此,忽为常侍开国,今日后,宜更用心!”浟正色答曰:“昔甘罗为秦相,未闻能书。凡人唯论才具何如,岂必勤勤笔迹。博士当今能者,何为不作三公?”时年盖八岁矣。毅甚惭。

    武定六年,出为沧州刺史。为政严察,部内肃然。守令参佐,下及胥吏,行游往来,皆自赍粮食。浟纤介知人间事,有隰沃县主簿张达,尝诣州,夜投人舍,食鸡羹,浟察知之。守令毕集,浟对众曰:“食鸡羹何不还他价直也?”达即伏罪,合境号为神明。又有一人从幽州来,驴驮鹿脯。至沧州界,脚痛行迟,偶会一人为伴,遂盗驴及脯去。明旦告州,浟乃令左右及府僚吏分市鹿脯,不限其价。其主见脯识之,推获盗者。转都督、定州刺史。时有人被盗黑牛,背上有白毛。长史韦道建谓中从事魏道胜曰:“使君在沧州日,禽奸如神。若捉得此贼,定神矣。”浟乃诈为上符,市牛皮,倍酬价直。使牛主认之,因获其盗。建等叹服。又有老母姓王,孤独,种菜三亩,数被偷。浟乃令人密往书菜叶为字,明日,市中看菜叶有字,获贼。尔后境内无盗,政化为当时第一。

    天保初,封彭城王。四年,征为侍中,人吏送别悲号。有老公数百人,相率具馔白浟曰:“自殿下至来五载,人不识吏,吏不欺人。百姓有识已来,始逢今化。殿下唯饮此乡水,未食百姓食,聊献疏薄。”浟重其意,为食一口。七年,转司州牧,选从事皆取文才士明剖断者,当时称为美选。州旧案五百余,浟未期悉断尽。

    河清三年三月,群盗田子礼等数十人谋劫浟为主诈称使者径向浟第至内室称敕牵浟上马,临以白刃,欲引向南殿。浟大呼不从,遂遇害,时年三十二,朝野痛惜焉。

(节选自《北齐书 卷十》有删节)

同类题3

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    I was sure that I was to be killed. I became terribly nervous. I searched in my pockets to see if there were any cigarettes, which had escaped their search. I found one and because of my shaking hands, I could barely get it to my lips. But I had no matches, they had taken those. I looked through the bars at my jailer. He did not make eye contact with me. I called out to him “Have you got a light?” He looked at me, shrugged and came over to light my cigarette. As he came close and lit the match, his eyes inadvertently(不经意地)locked with mine. At that moment, I smiled. I don't know why I did that. Perhaps it was nervousness, perhaps it was because, when you get very close, one to another, it is very hard not to smile. In any case, I smiled. In that instant, it was as though a spark jumped across the gap between our two hearts, our two human souls. I know he didn't want to, but my smile leaped through the bars and generated a smile on his lips, too. He lit my cigarette but stayed near, looking at me directly in the eyes and continuing to smile.

    "I kept smiling at him, now aware of him as a person and not just a jailer. And his looking at me seemed to have a new dimension too. “Do you have kids?” he asked. “Yes, here, here.” I took out my wallet and nervously fumbled for the pictures of my family. He, too, took out the pictures of his family and began to talk about his plans and hopes for them. My eyes filled with tears. I said that I feared that I'd never see my family again, never have the chance to see them grow up. Tears came to his eyes, too. "Suddenly, without another word, he unlocked my cell and silently led me out. Out of the jail, quietly and by back routes, out of the town. There, at the edge of town, he released me. And without another word, he turned back toward the town.

    “My life was saved by a smile.” Yes, the smile― the unaffected, unplanned, natural connection between people. I really believe that if that part of you and that part of me could recognize each other, we wouldn't be enemies. We couldn't have hate or envy or fear!