题目内容
17.已知单项式-xm-2y3与$\frac{2}{3}$xny2m-3n是同类项,那么m,n的值分别是( )| A. | $\left\{\begin{array}{l}{m=3}\\{n=-1}\end{array}\right.$ | B. | $\left\{\begin{array}{l}{m=3}\\{n=1}\end{array}\right.$ | C. | $\left\{\begin{array}{l}{m=-3}\\{n=1}\end{array}\right.$ | D. | $\left\{\begin{array}{l}{m=-3}\\{n=-1}\end{array}\right.$ |
分析 根据同类项的定义列出二元一次方程组,然后求解即可.
解答 解:∵单项式-xm-2y3与$\frac{2}{3}$xny2m-3n是同类项,
∴$\left\{\begin{array}{l}{m-2=n}\\{2m-3n=3}\end{array}\right.$,
解得$\left\{\begin{array}{l}{m=3}\\{n=1}\end{array}\right.$.
故选B.
点评 本题考查了同类项,所含字母相同,并且相同字母的指数也分别相同的项叫做同类项.
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如图,⊙O1与⊙O2外切点A,半径为r1,r2,PB,PC分别为两圆的切线,B,C为切点,PB:PC=r1:r2,又PA交⊙O2于点E,则下面结论不正确的是( )
| A. | S△PAB:S△PCE=r12:r22 | B. | PA:PD=r2:r1 | ||
| C. | AE:AD=r2:r1 | D. | PB:PD=r2:r1 |