名校
解题方法
1 . 在三角形
中,
的三个内角
的对边分别是
,则下列给出的五个命题:
①若
,
,且
与
夹角为锐角,则
;
②若
,则
为等腰三角形;
③点O是三角形ABC所在平面内一点,且满足
,则点O是三角形ABC的重心;
④
,
,若
,则
为锐角三角形;
⑤若
为
的外心,
.
其中正确的命题是:_______________________ .(填写正确结论的编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb506d2dc93b91a800f049fde9a6e4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034b7e7a1cfe961a7f593bc1582b96cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e04b733c818593ed500c5fc9ccb2397.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e02e6946143207c276f7430942c1b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③点O是三角形ABC所在平面内一点,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec09a159d6760fca8ae5966bf97b4e49.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40ebf59ed78b999efc06d97bc89038fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8592806a72eee278ce1086ea8145d096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1e552a1451270703a86e592d7dd656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
⑤若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9cc0ee2711b877dfef17bc89b410e2.png)
其中正确的命题是:
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2 . 已知向量
满足
(
为非零的实数),设向量
的夹角为
,有下列四个命题.其中正确的命题有___________ (填写所有正确结论的编号).
①存在
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98c41072ee589f5067938c658884541.png)
②不存在
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7557713682c09ec526718378189f9f7e.png)
③当
变化时,
的最大值为1
④当
变化时,
的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96022a881e03e32d3483d997c3f170c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7529ee92d5e92360480ca8f87c15fdb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de631112eb0f79150eb75576090848c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
①存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98c41072ee589f5067938c658884541.png)
②不存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7557713682c09ec526718378189f9f7e.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a282d19bf2c827a98d4443330f7ca1.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a282d19bf2c827a98d4443330f7ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
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3 . 平面向量
,满足
,则以下说法正确的有_______ (填写序号)
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/382b820bd29b6a488fb00ee56df44e7d.png)
②对于平面内任一向量
,有且只有一对实数
使![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2910ce2c13bd2cbc943acf4377d57d85.png)
③设
,
,
,
,且
在
处取得最小值,当
时,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae951e0bb5a2a406f1572fc1e4964265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e12da043354e717be38f4f29f7767b41.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/382b820bd29b6a488fb00ee56df44e7d.png)
②对于平面内任一向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1df960feef63dec4790d63f52279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0d491ca1d69c14de489ec68aa280c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2910ce2c13bd2cbc943acf4377d57d85.png)
③设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02207b28e6f78b3a254b1c0b2cb0ec0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c22dfbe5473a6e2860fbd4a6ae8d005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47abce6811fe6a9ba0f1aa948bf48e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09eff62d9246bf1c48bf4a6d37676bde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9fe4f56658d6af040d21b6c621c421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9fd58e71dcae6cafaf9037d20ebd76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/625306c90a9fd5b1b3ab1fe8d9d0a211.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15eacdfa953ced4927c8585d05559ac9.png)
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4 . 以下各说法中:
①已知在边长为
的等边三角形
中, 则
;
②若两非零向量
,若
,则
的夹角为锐角;
③已知大小分别为
与
的两个力,要使合力大小恰为
,则它们的夹角的余弦值为
;
④已知数列
的通项
,其前
项和为
,则使
最小的
值为
.
其中正确说法的有________ .(填写所有正确的序号)
①已知在边长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e919aa6826aa94858c261bf05d0e18.png)
②若两非零向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90eb96b770a4bed15037b68a77eb9667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
③已知大小分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf98e72511232b14b841a5d35a607653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8e74032b421b3c8e6323bcf6af9aee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3842600c36ce94156ce8ecb6463a288f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
④已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c4593f37ce523cfa8fb5c102240319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
其中正确说法的有
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5 . 以下说法正确的是_______ .(填写所有正确的序号)
①若两非零向量
,若
,则
的夹角为锐角;
②若
,则
,反之也对;
③在
中,若
,则
,反之也对;
④在锐角
中,若
,则
①若两非零向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbc0945b4e1962e66f6f7e7f6af235d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cc1f1ef9ad32eef62aefa4c3fc3d6b.png)
③在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19dc38d888741a1b2e95fe0773a48c38.png)
④在锐角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baa8d75a6638e08eedbff8662267da6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79fba1cd42684bd8978cede10fb311e1.png)
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名校
解题方法
6 . 如图甲所示,古代中国的太极八卦图是以同圆内的圆心为界,画出相等的两个阴阳鱼,阳鱼的头部有眼,阴鱼的头部有个阳殿,表示万物都在相互转化,互相渗透,阴中有阳,阳中有阴,阴阳相合,相生相克,蕴含现代哲学中的矛盾对立统一规律. 其平面图形记为图乙中的正八边形
,其中
,则以下结论错误的是( )
![](https://img.xkw.com/dksih/QBM/2022/10/6/3082005942067200/3082676506796032/STEM/7f8d45f3033c4347a02ed0feb27ec8ac.png?resizew=268)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17d4a6cf11cda87b3dfafaecdec683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9774f83067ed956a551bc41adcce0469.png)
![](https://img.xkw.com/dksih/QBM/2022/10/6/3082005942067200/3082676506796032/STEM/7f8d45f3033c4347a02ed0feb27ec8ac.png?resizew=268)
A.![]() |
B.![]() |
C.![]() |
D.![]() ![]() ![]() |
您最近一年使用:0次
解题方法
7 . 古代中国的太极八卦图是以圆内的圆心为界,画出相同的两个阴阳鱼,阳鱼的头部有阴眼,阴鱼的头部有阳眼,表示万物都在相互转化,互相渗透,阴中有阳,阳中有阴,阴阳相合,相生相克,蕴含现代哲学中的矛盾对立统一规律.图2(正八边形
)是由图1(八卦模型图)抽象而得到,并建立如图2的平面直角坐标系,设
.则下列错误的结论是( )
![](https://img.xkw.com/dksih/QBM/2021/5/13/2720310018605056/2720901184684032/STEM/172a4529-4b1e-4072-a6f8-dc48164edd5b.png?resizew=439)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17d4a6cf11cda87b3dfafaecdec683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52705567101a48893de582656ef41527.png)
![](https://img.xkw.com/dksih/QBM/2021/5/13/2720310018605056/2720901184684032/STEM/172a4529-4b1e-4072-a6f8-dc48164edd5b.png?resizew=439)
A.![]() |
B.以射线![]() ![]() |
C.在以点![]() ![]() ![]() ![]() |
D.正八边形![]() ![]() |
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4卷引用:江西省九江市柴桑区第一中学2022届高三上学期第二次月考数学(理)试题
江西省九江市柴桑区第一中学2022届高三上学期第二次月考数学(理)试题山西省太原市2021届高三三模数学(文)试题山西省太原市2021届高三三模数学(理)试题(已下线)考点09 任意角与弧度制及任意角的三角函数-备战2022年高考数学(理)一轮复习考点微专题
名校
解题方法
8 . (多选)古代中国的太极八卦图是以同圆内的圆心为界,画出相等的两个阴阳鱼,阳鱼的头部有阴眼,阴鱼的头部有个阳眼,表示万物都在相互转化,互相渗透,阴中有阳,阳中有阴,阴阳相合,相生相克,蕴含现代哲学中的矛盾对立统一规律.图2(正八边形
)是由图1(八卦模型图)抽象而得到,并建立如下平面直角坐标系,设
.则下述四个结论,正确结论是( )
![](https://img.xkw.com/dksih/QBM/2021/1/6/2630461899374592/2633188182204416/STEM/a3bd39b9-222a-4261-992f-9dac4e8697b8.png?resizew=448)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17d4a6cf11cda87b3dfafaecdec683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52705567101a48893de582656ef41527.png)
![](https://img.xkw.com/dksih/QBM/2021/1/6/2630461899374592/2633188182204416/STEM/a3bd39b9-222a-4261-992f-9dac4e8697b8.png?resizew=448)
A.以直线![]() ![]() |
B.在以点![]() ![]() ![]() ![]() |
C.![]() |
D.![]() |
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2021-01-10更新
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351次组卷
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2卷引用:江苏省常州市北郊高级中学2020-2021学年高一下学期3月阶段考试数学试题
名校
解题方法
9 . 古代中国的太极八卦图是以同圆内的圆心为界,画出相等的两个阴阳鱼,阳鱼的头部有阴眼,阴鱼的头部有个阳眼,表示万物都在相互转化,互相渗透,阴中有阳,阳中有阴,阴阳相合,相生相克,蕴含现代哲学中的矛盾对立统一规律.图2(正八边形
)是由图1(八卦模型图)抽象而得到,并建立如下平面直角坐标系,设
.则下述四个结论:①以直线
为终边的角的集合可以表示为
;②以点
为圆心、
为半径的圆的弦
所对的弧长为
;③
;④
中,正确结论的个数是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/32e59c9e-033b-41a9-af8e-b6c55c532c92.png?resizew=338)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17d4a6cf11cda87b3dfafaecdec683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52705567101a48893de582656ef41527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4cd68cc82e90a5e2049a7ea3171b84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03a2c457e6de163e787cc657928fd058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0897c96bcc31a0b297e205ce602997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b935b84c72835316be31d7412ad05d7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/10/32e59c9e-033b-41a9-af8e-b6c55c532c92.png?resizew=338)
A.![]() | B.![]() | C.![]() | D.![]() |
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2020-08-15更新
|
776次组卷
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5卷引用:重庆市铜梁区第一中学2020-2021学年高一下学期3月月考数学试题
重庆市铜梁区第一中学2020-2021学年高一下学期3月月考数学试题湖南省郴州市2019-2020学年高一下学期期末数学试题(已下线)对点练24 任意角与弧度制-2020-2021年新高考高中数学一轮复习对点练(已下线)专题18 高考中的数学文化-2021年高考冲刺之二轮专题精讲精析江苏省四校(上冈高级中学等)2020-2021学年高一下学期期中联考数学试题