16.1.2二次根式的性质与化简【基础强化】1.若(1-a)2=a-1,则a的取值范围是()A. a1B. a1C. a1D. a12.若实数x、y满足2x-1+2y-12=0,则x+y的值等于()A. 1B. 32C. 2D. 523.已知x、y为实数,且y=x-8-8-x+25.则3x+y的值()A. 5B. 6C. 7D. 8【知能提升】4.已知|a-1|+7+b=0,则a+b=_5.若实数a、b满足以下关系式:a-2+(b+3)=0,则ab的值为【素养闯关】6.若x-3-3-x=(x+y)2,求x-y的值答案和解析1.【答案】B【解析】解:(1-a)2=a-10,a1,故选:B2.【答案】B【解析】解:由题意可得:2x-1=0,y-1=0,解得:x=12,y=1,则x+y=1+12=32故选B3.【答案】C【解析】解:由题意,得x-80,且8-x0,解得x=8所以y=25,所以3x+y=38+25=2+5=74.【答案】-6【解析】解:根据题意得:a-1=07+b=0,解得:a=1b=-7,则a+b=1-7=-65.【答案】-6【解析】解:依题意得a-2=0,b+3=0,解得a=2,b=-3,ab=-6故答案为:-66.【答案】解:x-30,3-x0,x=3,故(x+y)2=0y=-3,x-y=6