1 . 将4个相同的红球和4个相同的蓝球排成一排,从左到右每个球依次对应序号为1,2,…,8,若同颜色的球之间不加区分,则4个红球对应序号之和小于4个蓝球对应序号之和的排列方法种数为
A.31 | B.27 | C.54 | D.62 |
您最近一年使用:0次
2016-12-03更新
|
673次组卷
|
3卷引用:数学奥林匹克高中训练题_73
2 . 若
,
,则下列判断①
,②
,③存在
,使
,④存在
,使
;也存在
,使
中,正确的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6eec7d75a66a4407631f75320bb8b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd08434ba3d0a0d162a7ffaf593998a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4118df6374966db0ef68716dfa9a13e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e67796c688457d65ce0af594ca476b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ecf39ce99b3fad69512154416deb39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4118df6374966db0ef68716dfa9a13e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5e67796c688457d65ce0af594ca476b.png)
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3 . 已知
.给出下列结论:①
;②
;③存在
,使
;④存在
,使
.其中,正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/025d8f85233cdc40a41d36d55f70eb4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36825543013336c9df727bc51ff62c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92755ed40510a358dcb77392749fd792.png)
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4 . 给出下列命题:
①
;
②若
,则
;
③若
,则
;
④若
、
,
,则
.
其中,正确命题的序号为______ .
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ebc553c60f28b5c67843f2db951ff7.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d42c49064a9c51c13cacb822e327336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a1f1d909f18e5cf13c48762f2a31080.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6eec7d75a66a4407631f75320bb8b15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17eec784c002a80ba88c7f2e1b895b52.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c11f6c800b8e0410674a0c6d307d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bc9bd873f21d1470ad0810259e084e.png)
其中,正确命题的序号为
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名校
5 . 给出下列两个命题:(1)设
,
,
都是复数.如果
,则
;(2)设
,
,
都是复数,如果
,则
.那么,下述说法正确的是
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95563a79e3b68c597ae1e5167516ff88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd96385362fd2bc879f32ae00e9a6fd3.png)
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd96385362fd2bc879f32ae00e9a6fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95563a79e3b68c597ae1e5167516ff88.png)
A.命题(1)正确,命题(2)也正确 | B.命题(1)正确,命题(2)错误 |
C.命题(1)错误,命题(2)也错误 | D.命题(1)错误,命题(2)正确 |
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