Question

單項(xiàng)式-

1

3

πa²b的系數(shù)是

-

1

3

π

，次數(shù)是

3

.4a³-a²b²-

4

3

是

4

次多項(xiàng)式．

Answer 1

分析：根據(jù)單項(xiàng)式系數(shù)的定義和多項(xiàng)式的次數(shù)的定義進(jìn)行解答即可，即單項(xiàng)式中數(shù)字因數(shù)叫做單項(xiàng)式的系數(shù)，多項(xiàng)式的次數(shù)是多項(xiàng)式中最高次項(xiàng)的次數(shù)．

解答：解：根據(jù)單項(xiàng)式的系數(shù)定義得：
單項(xiàng)式-

1

3

πa²b的系數(shù)為-

1

3

π，次數(shù)為3，
根據(jù)多項(xiàng)式的次數(shù)定義得：
多項(xiàng)式4a³-a²b²-

4

3

的次數(shù)為4．
故答案為：-

1

3

π，3，4．

點(diǎn)評(píng)：此題考查了單項(xiàng)式的系數(shù)和多項(xiàng)式的次數(shù)，解題的關(guān)鍵是對(duì)單項(xiàng)式的系數(shù)的定義和多項(xiàng)式的次數(shù)定義掌握好，此題較簡(jiǎn)單．