1 . 如图反映了二项式定理产生、完备和推广所走过的漫长历程:
推广到
,请你算一算
的系数______ ,
的系数______ .(用组合数表示即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5693ff4ce1cbf7266fdaf3fac9b4826.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272710318d9dbdf374b813337eb9c1ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cef3cf3774a0f4e42ecc394e77900de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d34b22cec7eca587507a8eb3c73437.png)
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解题方法
2 . 下列命题中,真命题的序号是___________ .
①已知函数
满足
,则函数
:
②从分别标有
的9个完全相同的小球中不放回地随机摸球2次,每次摸球1个,则摸到的2个球上的数字奇偶性相同的概率是
;
③用数学归纳法证明“
”,由
到
时,不等式左边应添加的项是
;
④
的二项展开式中,共有3个有理项.
①已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e153aa6d3f1585585b2f6386b53046e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6404bce2a64554b209c21489b0c7c040.png)
②从分别标有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab8e9adf1b75e2411ad7342389006c41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d86ab7c97cd8a0b15ba5efc1be94230.png)
③用数学归纳法证明“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d152b3c0b6f2186b1a817c8fdad7b3ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef7ca2b3e8061384501f668e59696a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63ba21f3d0cfc86d40e2e06446623ce0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a960b196accb9c715aec8ecd4acc69b8.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b8635c25c3825917cfe5f87bae997a.png)
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名校
3 . 组合恒等式
,可以利用“算两次”的方法来证明:分别求
和
的展开式中
的系数.前者
的展开式中
的系数为
;后者
的展开式
中
的系数为
.因为
,则两个展开式中
的系数也相等,即
.请用“算两次”的方法化简下列式子:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a5da8ca5f9f82b603a776cf7c047e2.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a27dc7f3952c6b6a11376205e7026f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da7bfad011650578d8d6932e040c108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb23d99fdb65d7a60cae3aa4364a89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc1fb81fa5b128500c08c9593d6a89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da7bfad011650578d8d6932e040c108.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc1fb81fa5b128500c08c9593d6a89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8e1995ad54cd7c9ddfd43dab19b1ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb23d99fdb65d7a60cae3aa4364a89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2832587e638ed851652d60ca716b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc1fb81fa5b128500c08c9593d6a89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/445a256f8985606f98f015d84b36b691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663c307dad10414d54127f8ebef28a75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbc1fb81fa5b128500c08c9593d6a89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a27dc7f3952c6b6a11376205e7026f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a5da8ca5f9f82b603a776cf7c047e2.png)
您最近一年使用:0次
2019-07-01更新
|
1170次组卷
|
2卷引用:江西省南昌市八一中学、洪都中学、麻丘高中等七校2018-2019学年高二下学期期末考试数学(理)试题