1 . 已知△
为等腰直角三角形,且
.给出下列结论:
①
;
②|
;
③
;
④
.
其中正确结论的序号为________ .(写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f89deb952f57f4b3fa4887b098b7b91.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19e54071a8df06f3b7ca62cb99c1c9d7.png)
②|
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a5f9ff868a122cbc8c2a5d20ce663d3.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfc83f4955870b1de9b5997313afbb41.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3946b9e2e8ec61d4252d47f056fa7697.png)
其中正确结论的序号为
您最近一年使用:0次
2022-04-25更新
|
262次组卷
|
2卷引用:北京市房山区2021-2022学年高一下学期期中数学试题
名校
2 . 已知下列命题
①若
,
,则
;
②向量
与
不共线,则
与
都是非零向量;
③已知
,
,
是平面内任意三点,则
;
④若
为
所在平面内任一点,且满足
,则
为等腰三角形;
⑤若向量
与
同向,且
,则
>
.
则其中正确命题 的序号为__________ .
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b23cc1e2140104001dd399ace17e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01befa7f7561b4f33725fd714dbca42c.png)
②向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
③已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4859e37dc1d7a9ac9ba486638756dea.png)
④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/28637cd70768b43eb160fe885a830bee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
⑤若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76e6d2bc60227843ec0e880ea13ea767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
则其中
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3 . 给出以下命题:
(1)若数列
存在极限,则该极限唯一;
(2)若直线
的倾斜角为
,则
的斜率存在且为
;
(3)设向量
与
的夹角为
,若
,则
为锐角;
(4)到
轴、
轴距离相等的点的轨迹方程为
.
其中所有正确命题的序号为
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
(3)设向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c1e552a1451270703a86e592d7dd656.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(4)到
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54934d97f4087dfaf4302ea3914a9632.png)
其中所有正确命题的序号为
A.(1)(2) | B.(2)(3) | C.(1)(4) | D.(2)(4) |
您最近一年使用:0次
名校
4 . 已知
,现有如下四个结论:①
;②四边形
为平行四边形;③
与
夹角的余弦值为
,④
;则上述正确结论的序号为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/247c94145088c4394ee2dc8ae1672b3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4145c0fc69cd40771b078e6b732336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436b63e793d6d39990341d29cf47f10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d86ed5700cde027ca83174d9c10292.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c516c60100e3db9550f6767948bf8da0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0f781e0ca377ddc99ac101ddc4907b.png)
A.①③ | B.②④ | C.①④ | D.②③ |
您最近一年使用:0次
2019-10-22更新
|
306次组卷
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3卷引用:陕西省(全国II卷)百校联盟2019-2020学年高三上学期TOP20九月联考数学(理)试题
5 . 以下四个命题中,说法正确的有__________ .(填入所有正确序号)
①若任意向量
共线,则必存在唯一实数
使得
成立;
②若向量组
是空间的一个基底,则
也是空间的一个基底;
③所有的平行向量都相等;
④
是直角三角形的充要条件是
.
①若任意向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb371bd7728c6d6a16533a93924ad998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11aeda90bd9777fda412249a37fc7a08.png)
②若向量组
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43208c7885ae4d4763c7d7f5df84fe1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fe0164c690660ae9aed64ec88018203.png)
③所有的平行向量都相等;
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a2d2b2b666b03344637a73e05f5226.png)
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2024高一下·全国·专题练习
6 . 判断正误,正确的填“正确”,错误的填“错误”.
(1)若
是直角三角形,则有
.( )
(2)若
,则直线
与
平行.( )
(3)若平面四边形ABCD满足
,
=0,则该四边形一定是菱形.( )
(4)在
中,若满足
,则
为
的重心. ( )
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91942670354affa8d52edadbcfa762bc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32458db21db3e131308b31f48353fbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(3)若平面四边形ABCD满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b19f09e31d95863882d960637bdee63d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c304dde0628fe407cfa8399d1931743.png)
(4)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc8b996e09fbc46236abd14a9845415c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
7 . 有下列四个说法:
①已知向量
,
,若
与
的夹角为钝角,则
;
②若函数
的图象关于直线
对称,则
;
③函数
在
上单调递减,在
上单调递增;
④当
时,函数
有四个零点.
其中正确的是___________ (填上所有正确说法的序号)
①已知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6569e50f43b3d8645652ecc13b62066e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3471223fbd8d687ea4e37ee7aa632772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d1eec645764636c0e23b05e8f93234.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a4ec68a8c6980548502e08d0a3b25c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24db7b603aebdee8e298d1fe49c848e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb52d91a9b9e084e6e4f0aa0a4a1bd96.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78cfb9361b23e62c80cc5ce46519b42f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4b97703638756a4051a3dd0cdcf5a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbc7b35682426aab8bd896a9ce35a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8fcc34ffbe1d57405482aa8308cbc2.png)
其中正确的是
您最近一年使用:0次
2022-04-11更新
|
157次组卷
|
2卷引用:江西省宜春市铜鼓中学2020-2021学年高一上学期实验班期末数学(理)试题
2024高一下·全国·专题练习
8 . 判断正误,正确的填“正确”,错误的填“错误”.
(1)向量
在向量
上的投影向量一定与
共线.( )
(2)
.( )
(3)
.( )
(4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aaff0386ee4db3d6ff16cf41daeb959.png)
( )
(1)向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ae8ca397348db3bb459e09724eb7fe3.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e6ae9df13edc80d322d03b1cbf1420.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aaff0386ee4db3d6ff16cf41daeb959.png)
您最近一年使用:0次