4.4合并同类项同步练习2025-2026学年浙教版数学七年级上册

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4.4合并同类项

学校:___________姓名:___________班级:___________考号:___________

 

一、单选题

1.已知eqId008eb0dd94c901d14687535e7f36f432与eqIdeb00b3777878232e42b8c164c50eb6e5的和是单项式,则式子eqIdd9e8e130533feb6f6b4093550cad2ac4的值是(   )

A.20 B.eqId79ef63ad7b61f3fae0ac81148e7700ff C.28 D.eqId4f71a7a540efafbbcedb18902536cf64

2.下列各组中的两个项不属于同类项的是( )

A.eqId90259d739599dbe859709f4c3f6cc842和eqIdae428b9c654f02adef950d9173c58c66 B.eqId6f29d5f376c75c41ae6af0c8a8565449和eqId3902834fead7620cfc4b6a67c779ef6f C.1和eqId33416936750a9caf9e877f02c3ad6b0e D.eqIdc8cc0b4997cae4d8aec791a1d3923314和eqIdbb3f00a02e931a265f86950296602f0f

3.在下列单项式中,与eqId2f30de9aa3515aad3beff48833648174是同类项的是(  )

A.eqId284fa43efbcdf17250da249a27a9be95 B.eqId43557b716fa38a8aeca410d7c8ba1909 C.eqId6f29d5f376c75c41ae6af0c8a8565449  D.eqIda52375105b3c5a2c8b6dcad63d0ec2a6

4.下列各组代数式中,不是同类项的是(   )

A.2与eqId274a9dc37509f01c2606fb3086a46f4f B.eqId3742f7a57a16850c4736b94f0013f10b与eqIdaf9f819e9739e5d629b303b611a27279 C.eqId58847ec35b51d5bb0b14f21a682d489e与eqId72100f8298076bb36e14b51be1754944 D.eqId02820ee82b8df658bbff7a23449b5c9a与eqIdb091b9b399d6f9a95c912a662adb3b80

5.下列各式中,合并同类项错误的是(    )

A.eqId7378d767c272f07b763f332051b0a339 B.eqId4be92a4a277f37a6ecf06a372f6bc00b C.eqIdb20a274a5e70e5665a24898a52ff73fa D.eqId7ba1c7fbf36d5625a9f57d344c78e11c

6.下面各项与eqId7df56844bb27ca38cc899691d70733b1是同类项的是(   )

A.eqIde4ee1003a75a04c5fbe622efa25944b1 B.eqIdc3219245493e321d3e0e6180f3e7cf16 C.eqId727afa75722d795a1be8960df0fb58dd D.eqId2c944a385e39eb676aa3839d032d98df

7.如果单项式eqId49efb34568714aa8fb37a59156974afc与eqId9057395362b5a060b408907ae81d6ee0的和仍然是一个单项式,则m、n的值是(     )

A.eqId1b77bc335c54836678be1fd11f06c468,eqIdf86b092cb77b9fdd27b4ff0833641f16 B.eqId5dd39eb49132e9178d943b2304aad716,eqIdf86b092cb77b9fdd27b4ff0833641f16 C.eqId9837fc7c15b028bd22ede513637abe39,eqIdf86b092cb77b9fdd27b4ff0833641f16 D.eqId1b77bc335c54836678be1fd11f06c468,eqIda94468c8dae6c8634799f39e8cee72ca

8.已知多项式eqId3f961a25f63d1b8876aa5a6272f3e78f中不含eqId6f29d5f376c75c41ae6af0c8a8565449项,则k的值为(    )

A.3 B.﹣3 C.0 D.6

9.下列式子计算正确的是(     )

A.eqIdaf89148ddf99f981a408d55613c86582 B.eqIdabfe106ec80609cf558b38a25a5af2f2

C.eqIddf1290bee5eb0a1b31f38c70d58a5a7d D.eqIdfc5a1cf3359a6a099822afac209a2213

10.若单项式eqId357119100d29f0470694eff84aed5791与eqId90b2585c6cf4029743bfe973dc3b1170是同类项,则式子eqId73de5cd800bc7fb6e82dd79b7d17153f等于(    )

A.0 B.1 C.eqIdacbc6a613224461ade69362d46550474 D.1或eqIdacbc6a613224461ade69362d46550474

11.下列运算正确的是(   )

A.eqId7ab401db1e24d1e810ddffa38c75bfec B.eqId902b9148fbedc11fe54b4262d4bdbd1epage number 0

 

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C.eqId61553ad4459e4d69f26e9852b6dff0f1 D.eqId20fecb3fd127e3fbb200da8b8644dca4

12.下列运算结果正确的是(    )

A.eqId016b54cb72977cf9e146d2ce663a6fac B.eqId2a2575aa66b8dbce5c7eb189ff7b1444

C.eqId7a52b4abf242d421079aebefebbb7274 D.eqIddd7788d593fc8d126b86bc8c704dc0b4

 

二、填空题

13.若eqId9940af18a9d476ef58de629f6740697a与eqIdc18e25bc11464d5b1f879eb731620263的和是单项式,则eqId331102d4cd2df6156da22cb6a8a873b6的值为        .

14.类比同类项的概念,我们规定:所含字母相同,并且相同字母的指数之差的绝对值都小于或等于eqIdbdaa19de263700a15fcf213d64a8cd57的项称为“准同类项”. 例如:eqId3fbc3213d3ce2fd7ad9b17474a3e11c6与eqIdde9c936965f192dabd7bf49e08ca21fc是“准同类项”,则下列单项式 ①eqId7329fc9a9e1480ef5a19225274f9a9ff;②eqIdffdb231f608ef41004383960370290f2;③eqId51b82bfe198d429537d8a0070cfbde94 中, 与eqId3dfbc5ad5be47b4e3e42ec1ef4eec081是“准同类项”的是         .

15.如果等式eqIdc3a34d2165bf5123a237764d9da74279成立,那么eqId892560dcff6af9f66a3f735652f69dd7         .

16.如果单项式eqIdc20c6b6c86023dce8ef95923148fabc8与eqId04b687f6a9b65a3b5fcc0b66258ed40d是同类项,则eqIdfcb7ec2b87189add1f7f3b4764757629的值是      .

17.关于x,y的多项式eqIdb55c59e6eef7777a0c189348fea2ddc7不含eqIdd800f03de80068a1172beac3a2c75587项,则m的值是             .

 

三、解答题

18.求eqIde1841f3667a7fe5cc13d71d3afbbf6f1与eqId329e40a1f2cea0ab922f2decd7e00e42的和,并将结果按eqId81dea63b8ce3e51adf66cf7b9982a248的降幂排列.

 

 

 

 

 

 

 

 

19.如果单项式eqIdd28bb40447c0eb08d6ae0eefd4dd31c7与单项式eqId3f13540eccaa5cffd560b163abea7090可以合并为一个单项式,请你求出eqId294f5ba74cdf695fc9a8a8e52f421328、eqId81dea63b8ce3e51adf66cf7b9982a248与eqIdd053b14c8588eee2acbbe44fc37a6886的值.

 

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20.合并下列多项式中的同类项:

(1)eqId55e05c8439745a838100c99b5729bd4e;

(2)eqId5f0ded462a7fe18b08fa8c18b24fe29f.

 

 

 

 

 

 

 

 

21.写出下列多项式中的项、各项的次数及多项式的次数,并说出它是几次几项式.

(1)eqId3dfa04d015ca6da90c099de9b810cf23;

(2)eqId0e8543a403ee0a4cf3a91fd2e247a4ac;

(3)eqIda4d0ecf3153b747cdc91117d3430a31b

(4)eqId9dfeeaa35e94ffb72df28b52417f1829.

 

 

 

 

 

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