已知
:“向量
与向量
的夹角
为钝角”是
:“
<0”的________ 条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.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/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0fe4d834e8eaca89ceaf9c64cdabd9.png)
2020高三·全国·专题练习 查看更多[1]
(已下线)考点02 常用逻辑用语-2021年新高考数学一轮复习考点扫描
更新时间:2020-08-14 10:09:28
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【推荐1】已知下面四个命题:
①“若
,则
或
”的逆否命题为“若
且
,则
”;
②“
”是“
”的充分不必要条件;
③命题P:存在
,使得
,则
:任意
,都有
;
④若P且q为假命题,则p,q均为假命题.
其中真命题有____________________ .
①“若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c581913b2d08b871608e939f29cb24b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38f0e9c04402a0ffdaa25c3e3c82c7dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059eafaba1bb419030b566813c5bb04a.png)
②“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ccaa6e503b61e9ae78d8439cba2e328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d141f34f18f4802d04ef2e4e5e803aba.png)
③命题P:存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f07ad90ca228230b03f12eb48ee0c1d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d85685dd80e4f513558a36ccfbf21daf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f292aee4920c4e5c5c0f25ed9ea83f4b.png)
④若P且q为假命题,则p,q均为假命题.
其中真命题有
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【推荐2】“
”是“
”的___________ (用“充分不必要条件”“必要不充分条件”.“充分条件”“既不充分也不必要条件”填空)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a479511a50da604b2fc7398617db8387.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6204ebd38f7dcba36e4086998680046c.png)
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【推荐1】平面向量
不共线,且两两所成的角相等,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6498305271f9cb02be451243d8f1bc9c.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98e7f816359c79043a915f7ac185d07c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ac28b5fd813516c3c942903b483150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6498305271f9cb02be451243d8f1bc9c.png)
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解题方法
【推荐2】平面向量
与
的夹角为
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/142fba477a529bf434885c8827327125.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/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/582957208ff5f010dfc4dc51055f70be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16d81d266f24698696a81ed5e007680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/142fba477a529bf434885c8827327125.png)
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