1 . 有以上结论:
①若
,
,则
的充要条件是
,
;
②若实数
与
对应,则实数集与虚数集是一一对应;
③由“在平面内,三角形的两边之和大于第三边”类比可得“在空间中,四面体的任意三个面的面积之和大于第四个面的面积”;
④由“若
,
,
,则
”类比可得“若
,
,
为三个向量,则
.其中正确结论的序号为__________ .
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8003f622353ccc8b982eb7c0706c8f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4047ef4e97158c8f0ae02cb893a2c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
②若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392bf0ef48ebfa28f55b9c9c0f3feb7b.png)
③由“在平面内,三角形的两边之和大于第三边”类比可得“在空间中,四面体的任意三个面的面积之和大于第四个面的面积”;
④由“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0097ca400d4619a94c4282c1ef6ec68e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54381d7cfca6e4c6b1cb8af54d9341f2.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/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689a5623593592bcdee96e8690c2beb2.png)
您最近一年使用:0次
2011·山西·一模
2 . 给出下列命题:
①函数
的图象关于点
对称;
②若向量
满足
且
,则
;
③把函数
的图象向右平移
得到
的图象;
④若数列
既是等差数列又是等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3097d314618108b5166bc4b1f94e7b.png)
其中正确命题的序号为.
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffa8ddcbbe89ab0f250f56673e2d36c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ae9f3646b83e0bba521e6106923eec.png)
②若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96022a881e03e32d3483d997c3f170c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe14a3defd365e0ae637c18b51ff647b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb536b9f4f5295a76bd54ca39499877c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc49e0ce40eb3e997119f80198c5d22.png)
③把函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33522ab6c7c4af036de962a083df267a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c8ae071199874d9d74a4919a58902f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c191fdfd08fb94ba6ed45c71f0fbeb.png)
④若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3097d314618108b5166bc4b1f94e7b.png)
其中正确命题的序号为.
A.①③④ | B.①④ | C.③④ | D.①② |
您最近一年使用:0次
3 . 对于下列说法:
①方程
表示的图形是圆;
②对任意实数
,直线
平分圆
;
③若直线
与直线
垂直,则实数
的值为
或
.
④已知圆
的半径为
,
,
为该圆的两条切线,
,
为两切点,那么
的最小值为
.
其中所有正确说法的序号是______ .
①方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd36119f10abe3d734a320580ca530d4.png)
②对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/889e8229d3900a55687af7d5cfa9f283.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4ee22fbd02d14f7764a81694df5d88.png)
③若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132fd1617b4be21e8c520dbaefa413df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c127706d04bcad738d20e24fad70809.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
④已知圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](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/8a33e5d0dbdd0f15854f0d7dd8b53058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5636bddc636487839d47a0b17eed57.png)
其中所有正确说法的序号是
您最近一年使用:0次
2022高一·全国·专题练习
4 . 判断(正确的填“正确”,错误的填“错误”)
(1)两个向量的数量积仍然是向量.( )
(2)若
,则
或
.( )
(3)
,
共线⇔
·
=|
||
|.( )
(4)若
·
=
·
,则一定有
=
.( )
(5)两个向量的数量积是一个实数,向量的加法、减法、数乘运算的运算结果是向量.( )
(1)两个向量的数量积仍然是向量.
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7677fa4ecba4dd4005f5a1b52cf86b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ffaae1b5eb029d0d726fdde99fe7c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a01b6bda6cc2edead3549796c95da81.png)
(3)
![](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/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(4)若
![](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/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
(5)两个向量的数量积是一个实数,向量的加法、减法、数乘运算的运算结果是向量.
您最近一年使用:0次
5 . 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
您最近一年使用:0次
名校
6 . 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
的图像关于直线
对称,则
;
③当
时,函数
有四个零点;
④函数
在
上单调递减,在
上单调递增.
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/80d769ab21af5365d3c00dc617375ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91764e19d4a8e0bc0624287b73fb39df.png)
![](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/65d1eec645764636c0e23b05e8f93234.png)
②若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e28a908a083449f14499fbc58ba6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24db7b603aebdee8e298d1fe49c848e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb52d91a9b9e084e6e4f0aa0a4a1bd96.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbc7b35682426aab8bd896a9ce35a81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4f2ac7aae8926f5741a7f1b12552a4.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1947fd8b1e5fa9096c13256fdb3a23ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e4b97703638756a4051a3dd0cdcf5a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c9aeed3c8c5a04e48d011c607f9142.png)
其中正确的是
您最近一年使用:0次