Question

在正方体ABCD－A’B’C’D’中，M为棱DD’的中点，O为底面正方形ABCD的中心

在正方体ABCD－A’B’C’D’中，M为棱DD’的中点，O为底面正方形ABCD的中心，用坐标法证明：(1)OA’⊥AM
(2)AM⊥平面A’B’O.

Answer 1

解：（1）令A为坐标原点，AB为X轴，AC为Y轴，AA’为Z轴。则A（0,0,0），M（0,1,1/2）,O(1/2,1/2,0).A’=（0，0，1），
OA’=(-1/2,-1/2,1),向量AM=M-A=(0,1,1/2),向量OA’*AM=0，因此OA’⊥AM
（2）B’（1，0，1），则A’B’=（1，0，0），A’O=(1/2,1/2,-1).
若AM⊥平面A’B’O，则AM⊥A’B’，AM⊥A’O。带入数值，AM*A’O=0，AM*A’B’=0，
所以AM⊥平面A’B’O.

Answer 2

底面正方

Answer 3

as

Answer 4

In painting and calligraphy, painting works in the market RunGe is indispensable. RunGe conforms to the market economy or merchandise society fair trade principle, the painter will survive, it is naturally.

ZhengBanQiao, most propbably all familiar, he just for you condemned "RunGe" :

"Significant Saturday, picture 4 liang,True Religion mens, small pieces, banners, or two fan DouFang couplet five money."

He also specially statement,bracelets, must "cash transaction". Interestingly,mont blanc pens discounted, he shall sizes, price, even payment, accept credit ban is all speak clearly, and clearly, buyers and sellers both clear at a glance. "RunGe" custom-built such meticulous, clear, the left "rare confused" eternal words in the big painter-calligrapher, penny labor value "principles problem", he's the slightest "confused".

Qi baishi, WuChangShuo, such as much as an adolescent from lu yanshao not a example,Cheap Christian Louboutin, all custom made his RunGe. Now of course painter-calligrapher have their own RunGe. Frankly speaking, it is to their own roles. Calligraphy WuChangShuo shanghai-style everybody, cable vocabulary is numberless as the sand, but he also according to size to RunGe for myself. Today, with the calligraphy and painting market growing prosperity, more and more painter-calligrapher began their works to market, RunGe is indispensable also.

Throughout 2010 artwork to auction the market, how a "fire" word get. From the breadwinners inscription "clap a 4.368 billion yuan, the quarters of wang xiao temple drawing" clap a 1.366 billion, ZhangDaQian "love" clap a dimple lake 1.008 billion yuan, etc, the auction turnover repeatedly broken billion yuan RMB, this means that today's calligraphy and painting market very hot.

The 21st century is the era of Internet, today's painter-calligrapher also flowers bloom, a hundred style, see more dazzling. You see now nowadays some well-known painter-calligrapher works often day has soared. This and publicity, especially the Internet, of propaganda are inseparable. Ancient have such a strange thing, some pictures of good works often worthless, some ordinary common works broken sell high, is this what is the row? Spoken parts in an opera is famous problem you paint on good, no fame, also not line, the price was cheap. Famous painter, even if not paint, only cover FangYin, prices are buying. If Shanghai master WuChangShuo, 1920's, due to the perfect combination of WuChangShuo poem calligraphy seal is a special skill,Herve Leger Clothing, and has great influence on modern painting. Cable vocabulary to burn. There are even Japanese people come to Shanghai to buy WuChangShuo of painting, at that time, because WuChangShuo phatic more, sometimes have to please disciple who WuChangShuo TiKuan ZhaoZiYun, affix one's seal. Of course, they also have power. I recently saw a news network, said zhao4 ben3 shan wrote an calligraphy, results from liaoning by a guest of more than 100 million yuan to buy. This elucidation? Or well-knownness, the famous problem.

Now the network popularization, the gallery website, painter-calligrapher personal space, too, even some painter in his blog in price sell paintings. Once online a blog saw an artist, painting the true good, have we demeanor, painting article vigorous, with a strong taste,NFL Jerseys, result in bronze search engine check, oneself blog has information, search engine no other record, it also show? Lack of publicity, obsure. Also a painter, shandong old man and draw all reach a certain level, but a see prices, just 1200 yuan a picture, it's worthless. Investigate its reason, is famous not enough, if a little famous, 12000 yuan even one or two million yuan a picture is not a problem.

Of course, calligraphy and painting, strength never existed in the first place. Name to real return, is the hard truth.

"Painting as the person", this words are right, a painting often can see the emotional reveal paint, such as the snow a bird, fish, etc., in the match and prose, I can see, this is individual character.

Some time ago, wu guanzhong predecessors died before I just heard the wu Lao, often on TV, know the wu Lao is a everybody, results on hearing the news, the author found in Internet wu Lao works, detailed watch analysis. Various, but very unified, I just want to say is, the wu Lao imagination is rich, is an innovative painter predecessors, also had oneself individual character style. So personal accomplishment is important, past everybody is a knowledgeable, is our posterity model of learning.

However, no matter what age, have the strength, let people know that true strength, otherwise it "white blind you this man". Solid nameless white arduous, titular is hollow reputation. Painter-calligrapher without propaganda, cannot leave the media, even if you won a what prize, also need to let others know.

Always have a problem, the ancient those how you famous? It is also the same. Tediocrity Is nothing but a specialist individuality, and then spread by word of mouth, have a plenty of meeting businessman, rely on marketing and communications, have a plenty of staff, by doing officials official background. Some founded school, "grouping teasing", such as the four Kings, yangzhou eight weird, etc. Current information era, publicity approaches many, very convenient also, as long as you have a certain strength, "overnight success" is not a dream.

"Bon vin point d 'enseigne era" has passed, no matter what is your home, advancing with The Times always some.
Relevant recommend articles：

ugg amelie suede sandal In a minute of eternity

Discount Mbt Shoes digital

New Balance A20 Man's WangYueJin