若（1-2x）2010=a0+a1x+a2x2+…+a2010x2010（x∈R），则（a0+a1）+（a0+a2）+（a0+a3）+…+（a0+a2010）=______．
由题意，（1-2x）2010=a0+a1x+a2x2+…+a2010x2010（x∈R），
令x=0，可得a0=1，令x=1，可得a0+a1+a2+…+a2010=1
∴（a0+a1）+（a0+a2）+（a0+a3）+…+（a0+a2010）
=2009a0+a0+a1+a2+…+a2010
=2009+1
=2010
故答案为2010
根据短文的意思和结构，选择方框中合适的词并用其恰当形式填空。(每词只用一次)
It was a Wednesday evening and my roommate was out for the night. I was feeling a little 1 so I decided to make something to eat. I went down to the kitchen to fix myself some toast. I put two slices of bread into the toaster and decided to watch some TV while I 2 …I must have been very tired because I soon fell 3 . I woke up what seemed like seconds later, in my front yard, coughing and staring up at some 4 .They told me that my toaster had caught fire while I was asleep and the flames quickly 5 to the curtains on my kitchen window. In no time it seemed my whole 6 was on fire and smoke filled my entire house… My neighbour, 7 , saw the smoke and called the fire department. When they got to my home the fire had spread from the kitchen into the living room and the house was 8 with smoke. Two of the firemen broke down my front door with an axe 9 the others were putting out the fire with water. They found me lying 10 on my sofa. If they had come only 5 minutes later I don't think I would be here today talking about it. |