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广东省深圳市翠园中学2020-2021学年高一下学期期中数学试题
广东 高一 期中 2021-07-22 21次 整体难度: 一般 考查范围: 复数、三角函数与解三角形、集合与常用逻辑用语、空间向量与立体几何、平面向量、数列

一、单选题添加题型下试题

单选题 | 较易(0.85) | 2021·广东翠园中学高一期中
2. 在eqId64b9b599fdb6481e9f8d9a94c102300b中,角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3的对边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba,若eqIda08ce385279d41c789695fb651b17890eqIdbc993bb0bb0c445cb7e97cc5487f4f76eqIda39518d9c6054253a30183f9ffb5a301,则eqIdaea992e70d4943e49e893817eb885ed7的长为(    )
A.eqId15755fd7039d4760803209c0bada9344B.eqId11a75c651d0a45c6a582be841e9561cfC.eqIde696b50f6a424073bcf96ab79101aff2D.1
5. 在eqId64b9b599fdb6481e9f8d9a94c102300b中,eqIdbe2bd973118245ca979ac3ad03a05b43eqId59f39895b9d74483851c8e81469ef70f,若eqIde78cce043a6c43329b55788351ff3484平面eqIda670baf5d73f4d7689915a00c51820f2eqId7af9eac106e04263a9c6d8e4a2a5dcbb,则点eqIdbedf755e0fdb4d078d6859360706b163eqId0627be51821d4be7b3e024a354815d64的距离是(   )
A.eqIdcd9b24a6a6e5426ab775be20461174e3B.5C.eqId09e05062a16b4f488a1f9b4f661d0c75D.eqId03859367a9b64a56ab90e31a0cec909a
单选题 | 较易(0.85) | 2021·安徽省临泉第一中学高一期中
7. 一艘海盗船从eqId19a4eb16029e4550a14f2afe4741a3c3处以eqId84076cbfb26b426db3607bb03c9703ce的速度沿着北偏东20°的方向前进,在eqId19a4eb16029e4550a14f2afe4741a3c3点南偏东40°距离为eqIdf6ee61b94fc7438f97ea8aa718a6c25aeqId8754ce8cf7f34f04abb9a0c041f57f5c处有一海警船,沿着北偏西10°的方向快速拦截,若要拦截成功,则海警船速度至少为(   )
A.eqId84076cbfb26b426db3607bb03c9703ceB.eqId9c75b04a140b47fbb3f0256e6861c7d1C.eqId340499fab8654bf3adf8654048b78885D.eqIdeea9ec70f53648b9b38ef2db8162a40a

二、多选题添加题型下试题

多选题 | 容易(0.94) | 2021·广东翠园中学高一期中
9. 下列说法正确的是(   )
A.圆锥的轴垂直于底面
B.棱柱的两个互相平行的面一定是棱柱的底面
C.球面上任意不同的三点不共线
D.棱台的侧面是等腰梯形
多选题 | 容易(0.94) | 2021·广东翠园中学高一期中
10. 在eqId64b9b599fdb6481e9f8d9a94c102300b中,角eqId052844cae8574a8ab842c38a039baac0eqId8754ce8cf7f34f04abb9a0c041f57f5ceqId19a4eb16029e4550a14f2afe4741a3c3所对的边分别为eqId70a27b6ddf6b478285353abb3b1f3741eqIdaea992e70d4943e49e893817eb885ed7eqId44925af6fb19413689ba5616e3647cba,且eqId25b656c733474b958f42ad2e43ff7c43eqId32e7610d932c4d13b03ee0952f7577d3.若eqId64b9b599fdb6481e9f8d9a94c102300b有唯一解,则eqId70a27b6ddf6b478285353abb3b1f3741的值可以是(   )
A.1B.eqIda2a0ce3781fa4c26b624f5966b7dee44C.eqId317ed84d205b4156847380f7e9f38b08D.eqIdcd9b24a6a6e5426ab775be20461174e3
11. 已知eqId71d6a2ff828b41caa8cf9562454f4794eqId32de792adcf94b1285482ab77748208a是两个单位向量,且它们的夹角为eqId6c9518e43fd5459798a30cfc10026e3c,则下列题正确的是(   )
A.eqId2f9fe91c24c845f39a478fb2f466ece3都有eqId5ad7ea6ba6df494d96539188a3281ee6
B.设eqId71d6a2ff828b41caa8cf9562454f4794eqId32de792adcf94b1285482ab77748208a:上的投影向量为eqId6d4a009b0fb8438ca3b2af0f83eb394ceqId32de792adcf94b1285482ab77748208aeqId71d6a2ff828b41caa8cf9562454f4794上的投影向量为eqId9692ff6ea6b3465991bfa9a305271195,则eqId094e59ddab6f46ee80b0af8c95c15835
C.eqId2b9b8fbd2dfc4380896a93fe551516b1使得eqId859a989d3c634498bc0a9ac70b1e1d15
D.若eqId71d6a2ff828b41caa8cf9562454f4794eqId32de792adcf94b1285482ab77748208a不共线,eqId7202459f42144e2dbdea80bbcd29532deqId2bf4e5bd4a674cd5af5cf6b5e65b0f22共线,则eqIde252024e2bc340058477192760509602
多选题 | 较易(0.85) | 2021·广东翠园中学高一期中
12. 在正方体eqId588284d93dc5489295f8f224f8e30d13中,eqId93cbffaa5ae045d6ac45d1e979991c3aeqId63db14a5b4334f3ea583c8fb12b0d175eqId92869ac114124367b45f631d030ed6bd分别为eqId0627be51821d4be7b3e024a354815d64eqId8f39d706a505485987ccbb3f6177d72deqIdfe9cbfb067114ce8857e621d77cb5feb的中点则(   )
说明: figure
A.直线eqIdb8aedba164b9446a81a96b5f315f00d0与直线eqId211ab513a02842808eee31b029297b06垂直
B.直线eqIdcd03b65c9d7c4597b1ff875b6ab4bbb4与平面eqId59ba42088e944332a1be671aeb031182平行
C.平面eqId59ba42088e944332a1be671aeb031182截正方体所得的截而是等腰梯形
D.点eqId19a4eb16029e4550a14f2afe4741a3c3和点eqId92869ac114124367b45f631d030ed6bd到平面eqId59ba42088e944332a1be671aeb031182的距离相等
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