第7页

信息发布者:
D
​$ \frac {1}{1000}$​
​$ \frac {1}{5}$​
​$ \frac {3}{5}$​
$6\sqrt{2}$
$3$
$0$
解:原式​$= (x+\sqrt {10})(x-\sqrt {10})$​
解:原式= $(x-\sqrt{6})^2$
解:原式​$=(x²+2)(x²-2)$​
​$= (x^2+2)(x+\sqrt {2})(x-\sqrt {2})$​
解:∵​$m=\sqrt {2025}-5,$​
∴​$m+5=\sqrt {2025}。$​
∴​$\mathrm {m^2}+10m-1=(m+5)^2-26=(\sqrt {2025})^2-26=1999$​
解:由题意,得$\begin{cases} x+y-2026≥0 \\ 2026-x-y≥0 \end{cases},$$\therefore x+y=2026。$
$\therefore \sqrt{3x+y-z-8}+\sqrt{x+y-z}=0。$又$\because \sqrt{3x+y-z-8}≥0,$$\sqrt{x+y-z}≥0,$
$\therefore \begin{cases} 3x+y-z-8=0 \\ x+y-z=0 \\ x+y=2026 \end{cases},$解得$\begin{cases} x=4 \\ y=2022 \\ z=2026 \end{cases}。$
$\therefore (z-y)^2=(2026-2022)^2=16$