7.2.4诱导公式 同步练习-2021-2022学年高一数学人教B版(2019)必修第三册

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北京·高一·同步练习

 诱导公式

一、选择题(共10小题,每小题4分,共40分,在每小题列出的四个选项中,选出符合题目要求的一项)

1.已知角eqIdc13953f2514e4c8f9c8aaaf5241c33ac的终边经过点eqIdac6bf6b47d5b4504bcecffe5c8dc29b1 则eqId9dfd912248504a009f0c1b24e37ea9e4的值为(   )

A.eqId55cdf762f6ee44b9965cb85874ed15f9 B.eqId7f1f28503f41439586d8e228365897e9 C.eqIdfea8cc8a9fb7479797de310ea9a90bd9 D.eqId2b4cdf753a8746efb449b3005ed03f26

2.在平面直角坐标系中,若角eqIdc13953f2514e4c8f9c8aaaf5241c33ac的顶点在原点,始边在x轴的正半轴,终边在第二象限,则下列三角函数值中大于零的是(    )

A.eqId24b49e907daa448a8d80c1b69eb3f40e B.eqId4d7047e8bb92417396a28ce49585cec0 C.eqIde70c4388359f4d9295cc80003605e80b D.eqIdf2bf15cfaf7f4880ad6579285df16cb2

3.已知eqId163ef5546bcb49ab8ad5ab9b58c7351a,那么eqId989ddc12d47f45b5adcc2378af583390(    )

A.eqIde4d58f42bad9461b93d451da718fc6f4 B.eqId232536b8bbed4f619f81f098fe3ebb9c C.eqId49b7b111d23b44a9990c2312dc3b7ed9 D.eqIdfcc58431683b452ca65d1d9977a280bd

4.已知eqIdafab67656971448cabc955a305cab87f,且eqId9f2681f29f614a8b9400abb1ac21b4b1,则eqIdf0267282a8ed420daa2463901aa1a1b7(    )

A.eqIdd1ebfa5c81a04d18900d19595d070677 B.eqId96c7406fe9bb42d482404e87ed3f58bd

C.eqId4adf22999d4e47da945bc7c62e3f9824 D.eqId557f58a62eb24f819592f4ebaf769480

5.sin 600°+tan 240°的值为(    )

A.eqIde3a050464ca84a12a84c50a0a1a66b7c B.eqId232536b8bbed4f619f81f098fe3ebb9c C.eqIde4d58f42bad9461b93d451da718fc6f4 D.eqIda35cf66775a24732b08dc411968e2420

6.化简:eqId94aa105a6e0247929be47db049e3623d的值为(    )

A.eqId5c1c12d4b3ba4aaab6267324ae66c81e B.eqIdbeffaaf8d5cd43cf8375210d69fce6be C.eqId29c898c2f6d5480e84ed6cd0dfc0930b D.eqIdc052ddfbd4524f67a79e0e77c2e5656a

7.定义:角eqId6c9518e43fd5459798a30cfc10026e3c与eqId145940d03af4447eabd753d76abd2a1d都是任意角,若满足eqIdfb33a14261ca4965ad345b7a8c088abc,则称eqId6c9518e43fd5459798a30cfc10026e3c与eqId145940d03af4447eabd753d76abd2a1d“广义互余”已知eqIdd1a4f4bb081940fb9485b5e9dacbd5d9,下列角eqId4eb56f42ca674f2f9c9101b548763159中,不可能与角eqIdc13953f2514e4c8f9c8aaaf5241c33ac “广义互余”的是(    )

A.eqIdb30cdd90e2ef4afdaf57305b31c9d720 B.eqIddf5e36203cab4be4972f7add35c0218e

C.eqId37e49b40dfec438e9d0b0d28cb0dbf2c D.eqId78275a1d4c9d4e4b9ba4780b9a8f7089page number 0

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8.已知eqIded0c96ac95f44ab8868e8266ed3bb1d4,则eqId1464ccb7820f4fd19970c5baa1aa55aa的值是(    )

A.eqIda31d161922a6454ea40c480e5bdbc462 B.eqIdd7a05f23ef0d4620b314f0bdd52cea13

C.eqIda7a6c6d1e92045429d81bfb08e132775 D.eqIdbae67610f1a8409e893cac0c0879c768

9.若eqIda1a4fb9e27824ade8b6a3cf0afcf49ee,则eqIda9cd3f94eb8045438f75e9daccfa7200的值为(    )

A.eqIde80ed1663048435fb4f9c5f762732734或eqIdcddb91cf36e948d19957658b36afba60 B.eqIde0f224906da44f6a965bb8c5c0395284

C.eqId90d776d8c39f48c5aae9de8671bd250d D.eqId022e530e1dd6453ab54467745e9df0a8或eqId38e5370dda824977bc843210c337529e

10.已知eqIdeb68fe7a3db8493ebfbc886cf86cf0fa,则eqId1b95574cd982490094bd89ee76a687a4=(    )

A.-7 B.eqId08c6d6e29d1b4f268313bd843be2cf81 C.eqId5689751ff41e46f3aa7ba973916719fb D.5

二、填空题(共5小题,每小题5分,共25分)

11.若eqIdd92a13b9fc8043c2b43a4e999b8db3fe,则eqIda87ed0bb112445baa2e1e753d0898196___________.

12.已知角eqId0313489ffacf4ea7808038a333647452,若角eqId6c9518e43fd5459798a30cfc10026e3c与角eqIdc13953f2514e4c8f9c8aaaf5241c33ac的终边相同,则eqId2799fc2ce93d48438e6c050cb395bece的值为______.

13.eqIdd7336e818e3e49ecba196b7d2f20e560___________________.

14.若函数eqIdbba63324f34e48d69ffbe8c508ad8915,则eqId0ee0b3f6e4144bc9a40bab1487fd20e2的值为___________.

15.已知eqIdaae0e02f102d40eb809acc10165429f2,则eqId74cbd10443fe41e08e7bbd4f197c8680的值为___________.

 

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三、解答题(共6小题,共85分。解答应写出文字说明、演算步骤或证明过程)

16.已知eqIdf4fb26f12c444bddbcbb76c2283c81e3,求eqIdaba116a1b69e47baa331a6f0fccd7f40的值.

 

 

 

 

 

 

 

17.已知角eqId052844cae8574a8ab842c38a039baac0为eqId64b9b599fdb6481e9f8d9a94c102300b的一个内角,eqId43c0b11012a84212a38b54cf194388c4.

(1)求eqIde4daa028a6ce455d952310a9de556c57的值;

(2)求eqIdeaa3f1dc4f63462db39be78a08151051的值.page number 2

试卷第3页,共1页


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