组卷网>知识点选题>利用转化法求平面向量数量积
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1 . 已知eqId2efda802d5534f6d92d9f8af7aaec28b的半径为4,eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5c是网上两点,eqIdb12871670adf4efab5a7273922264f92eqId876037be016c4316885be871978f005b是一条直径,点eqId19a4eb16029e4550a14f2afe4741a3c3在圆内且满足eqId02310f611de44bba88144c41531b0e21,则eqIdee3dd8f7ecda42b586051237087108e8的取值范围是(   )
说明: figure
A.eqId381d00a286694891871b8d38ffbbbe6fB.eqId0c1eb8a3ecca4a69ae890241f1ff25ebC.eqId8d0b656bc4cc4efa813d477192297697D.eqId1a44aaeefe98416caeae678d952fd46f
3 . 如图,由若干个边长为1的正方形拼接而成一个矩形eqId161abe63eb734b3e8a71d0806c944c0d,则eqIda475d1c68e4f48158c49f34ce29b46ad___________.
说明: figure
4 . 如图,eqIdeb53cb7cb0274f7d8f111c60f824c243是单位圆上的相异两定点(O为圆心),且eqId21e11126ee11405e9625750204d611abeqId6c9518e43fd5459798a30cfc10026e3c为锐角).点eqId19a4eb16029e4550a14f2afe4741a3c3为单位圆上的动点,线段eqIdcf2da96900c948a1b3ce7cbfd420c080交线段eqIdbdb9b3ab33a542d9b1aefcf002989543于点eqId2381423d4cd146cab95f55527681a766.
说明: figure
(1)求eqIdefe8fd9133714409badc1d42f3254818(结果用eqId6c9518e43fd5459798a30cfc10026e3c表示);
(2)若eqIda4d922e7c8f34ec4892385f0e9138533 
①求eqIdebce22a80488491794cbc9bf4f56a0bd的取值范围;
②设eqId073771e3ac8447c1aa75df0f114c0f88,求eqId8a32aa9b5f964498a47c11434f81da69的取值范围
5 . 如图,AB是半圆O的直径,CD是弧AB三等分点,MN是线段AB的三等分点,若OA=6.
说明: figure
(1)求eqId288b11806c784d23a65255248679cb8f的值;
(2)求eqId7807e1faa641450eb512f7add236cae8eqId1e03832e571041b8b09655af8deecd18的夹角eqId6c9518e43fd5459798a30cfc10026e3c(用符号“ eqId2587ca58e2464b7ba272691b55c680fa”表示.)
6 . 设G为△ABC的重心,若eqId1015944b37eb48bb8d5266bec0f3faa3,则eqId930f80e5c0944f67aede8c923adec8ee的取值范围为(   )
A.(-80,160)B.(-80,40)
C.(-40,80)D.(-160,80)
7 . 已知△ABC的三边为3,4,5,其外心为O,则eqIdda47530e6194492c9e6eb405b272bf8c的值为(   )
A.-25B.eqIdab7cb7cf6f374dca93e01c743e2fffbaC.0D.eqId823789c72c8b4ed69795a9ee1f0983b0
8 . 如图所示,设eqId5b17d7c502534fbaaff7f0ae4db5c73deqId213fc48c02aa4a57851b75a9778268eb是平面内相交成eqId99fb9d2019d14f5b95a15d807e7ec9b2角的两条数轴,eqId71d6a2ff828b41caa8cf9562454f4794eqId32de792adcf94b1285482ab77748208a分别是与eqIda9cd3f94eb8045438f75e9daccfa7200eqId072d7d6b911b42bc89207e72515ebf5f轴正方向同向的单位向量,则称平面坐标系eqId2272a344734c4fb088737b84294f7219eqId6c9518e43fd5459798a30cfc10026e3c的反射坐标系,若eqIdcc1cc557a48241828d81102bbaf0593a,则把有序数对eqId6b6274a784c34e9082d2a3c974f8e17d叫做向量eqId868498ff9fa642879b7d44341bb0282c的反射坐标,记为eqId99a6cc49c4844c628db2c24258cbe1dc.在eqId1f47c5cb4cff4e3693aea66a93f39185的反射坐标系中,eqIdc166fdb566444b92ad5870057793d542eqId525019a6fd5f47ff96d7f39f40dc34a5.则下列结论中,正确的是(   )
说明: figure
A.eqId09cdebdd109b46fd8b4b1c52600d0c3eB.eqId192c802297e840acaf67010f478b3f3b
C.eqId3354fe4e9ad04d1ea1780fcce00b9577D.eqIdf087b35a5011425daaafbf14a5e61064eqId5f16eb46594d47b58ffc973b5cc2dd0d上的投影向量为eqId672f19cd372d43cb964c1ee48d1cf3eb
9 . 若eqId71d6a2ff828b41caa8cf9562454f4794eqId32de792adcf94b1285482ab77748208a是夹角为eqIdf1c3337151994ec4b99354c9d54f311c的两个单位向量,向量eqIdef9da82bcc5942d49a8112555a81f36b,则eqId9071a6c687b74b0baec0bdf20dc0fe95________
10 . 半径为2的圆O上有三点ABC满足eqIde57f38bb258242a6bb7405630e360f21,点eqIdbedf755e0fdb4d078d6859360706b163是圆内一点,则eqIdb40b016152f34b5da4d378ae72665774的取值范围为(  )
A.eqIdb546340afede4445807da8c11d76e265B.eqIdf9937fff4dd344e2a8473efb24a7fa8f
C.eqId926d456779454484be62ff28f513ca45D.eqId7dec093a5feb4f3795da96d59cff6df9
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