神级大神求答我刚交给你的第一个卷子全部都正确吗?

高中竞赛几何题,请神级解答.
圆O外有一点P,过P做圆O两条切线,切点分别为A、B,连接AB.取AP中点M,AB中点N,连接MN并延长,MN延长线交圆O于E,连接EP,交圆O于F,连接NF并延长,NF延长线交圆O于Q
求证：MNQP为菱形!


靠谱的有赏

求神级人物求解流体力学题.已知平面流场内的速度分布为ux=x²+xy,uy=2xy²+5y.求在
求神级人物求解流体力学题.
已知平面流场内的速度分布为ux=x²+xy,uy=2xy²+5y.求在点（1.-1）处流体微团的线变形速度,角变形速度和旋转角速度.

英文名字中的middle name属于given name（名）还是family name（姓）?各位神级高手请速回答,thank you very much(*¯︶¯*)

神级大师,我请教你们几道问题

有一些苹果,把其中的30%给小张,把余下的20%少两个给小王,再把剩下的给小李,这样小李得到的比小张的多28个.一共有多少个苹果?

2.一项工程,甲队单独修要10天完成,乙队单独修要15天完成.现在两队和修2天后,还剩40米没修.工程全长多少米?

最好有算式

求各位英语神级大仙们帮帮忙,这篇完型的答案是什么.跪谢啊.
i first went to hear a live rock concert when i was eight years old.my brother and his friends were all 36 of a heavy metal group called black wednesday.when they 37 that black wednesday were going to perform at our local theatre.they all bought 38 for the performance.however,at the last minute,one of the friends couldn't go,so my brother 39 me the ticket.i was really 40
i remember the buzz（嘈杂声）of excitement inside the theatre as we all found our 41 .after a few minutes,the lights went down and everybody became 42 .i could barely make out the stage in the 43 .we waited.then there was a roar from the crowd,like an explosion,as the first member of the band 44 the stage.my brother leaned over and shouted something in my ear,but i couldn't 45 what he was saying.the first song was already starting and the music was as 46 as a jet engine.i could 47 the drum beats and the bass notes in my stomach.
i can’t recall any of the songs that the band played.i just 48 that i really enjoyed the show and didn't want it to 49 .but in the end,after three encores（加演）,the show finished.we left the 50 and walked unsteadily out onto the pavement.i felt a little dizzy,as if i had just 51 from a long sleep.my ears were still 52 with the beat of the last song.
after the 53 ,i became a black wednesday fan too for a few years before getting into other kinds of music.once in a while,54 ,i listen to one of their songs and 55 i’m back at that first show.
36.a.members b.friends c.fans d.volunteers
37.a.guessed b.discovered c.thought d.predicted
38.a.flower b.drinks c.clothes d.tickets
39.a.looked b.offered c.returned d.found
40.a.relaxed b.embarrassed c.excited d.encouraged
41.a.seats b.entrance c.spots d.space
42.a.comfortable b.quiet c.serious d.nervous
43.a.silence b.noise c.darkness d.smoke
44.a.fell upon b.got through c.broke into d.stepped onto
45.a.forget b.hear c.repeat d.bear
46.a.loud b.hard c.sweet d.fast
47.a.feel b.touch c.enjoy d.digest
48.a.realize b.understand c.believe d.remember
49.a.continue b.delay c.finish d.change
50.a *** b.theatre c.opera d.stage
51.a.escaped b.traveled c.benefited d.woken
52.a.aching b.burning c.ringing d.rolling
53.a.competition b.performance c.interview d.celebration
54.a.though b.otherwise c.instead d.besides
55.a decide b.regret c.conclude d.imagine

数学神级难题

二次函数神级难题
已知抛物线y=-x²+2(k-1)x+k+2与x轴交于A,B两点,且点A在x轴的负半轴上,点B在x轴的正半轴上,BO=5AO,求抛物线的函数解析式

求神级英语翻译帮我翻译这段中国式英文吧...
I'll give you back part of our kingdom, I do not know what you think, but I know my thoughts. Who said the end of the right to begin.Can look like before a movie as a new start?
拜托别复制那些字典翻译出来的内容给我..谢谢..

求神级人物指教~错位相减法求sn~已知an= （n+1）/2^(n+1)

疑问：
①红框：是不是应该是1+（1/2）^(n-1)?
②蓝框：分母是从哪里化出来的?


ps：***!需接受无数个迷惑及无数追问!