1 . 已知向量
.若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c68b6c10f282cd19590a8432a9b486ac.png)
__________ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d33ee1f52775bf9ba66e0fdf0ecbb35.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30bf2b57a870ffededfd20869e2a271e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c68b6c10f282cd19590a8432a9b486ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d33ee1f52775bf9ba66e0fdf0ecbb35.png)
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2 . 在
的展开式中,常数项为________ .(用数字作答)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3644bb567f58307c09e6dbd8e8fea640.png)
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3 . 已知数列
满足:
,
,数列
是递增数列,试写出一个满足条件的实数
的值_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95c8dac663f563b40aea2e5fec2f70c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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4 . 甲袋中有5个红球和3个白球,乙袋中有4个红球和2个白球,如果所有小球只存在颜色的差别,并且整个取球过程是盲取,分两步进行:第一步,先从甲袋中随机取出一球放入乙袋,分别用
、
表示由甲袋中取出红球、白球的事件;第二步,再从乙袋中随机取出两球,用B表示第二步由乙袋中取出的球是“两球都为红球”的事件,则事件B的概率是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
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2024-03-12更新
|
1641次组卷
|
6卷引用:北京市怀柔区第一中学2024届高三下学期零模数学试卷
5 . 函数
的部分图象如图所示.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
_______ ;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc11b563e758b1a9c4fa30297d2a2a78.png)
_______ ;若
,且
,则
的值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72871679a21fa3c9007656d712fa02d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc11b563e758b1a9c4fa30297d2a2a78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909cb73c1e33956d68fad7db721f1223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07687d436b2b679c618b7d54ae31765a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450398974b1561ca801e102e16df6789.png)
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6 . 若复数
满足
,则复数
的模![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d75f2f001c8adfc8b3f4cd6e61dea19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e0aeeb125cfb42e33094594d4381f5.png)
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7 . 某工厂要建造一个长方形无盖贮水池,其容积为
,深为
,如果池底每平方米的造价为150元,池壁每平方米的造价为120元,水池的长为______ m宽为______ m时,能使总造价最低.最低造价为______ 元.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b5e9fdaac7906d04492ea62fff3f20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36b51b654efcff60d2d640b9b4c4471.png)
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8 . 已知
是奇函数,当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1893ec3241bbeb7909e5a1ecfb7c1760.png)
______ ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e37e4793a3815e72ef0d7d3840dfdbed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1893ec3241bbeb7909e5a1ecfb7c1760.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
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9 .
为虚数单位,则 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c64547782a88bfeaf3bebb15e539034.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c64547782a88bfeaf3bebb15e539034.png)
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