已知函數(shù)的導(dǎo)函數(shù)為的圖象如右圖示.那么集合中的元素個數(shù)為A.1 B.2C.3 D.不確定 查看更多

 

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已知函數(shù)的導(dǎo)函數(shù),函數(shù)的圖象如右圖所示,且,則不等式的解集為( )

A.                      B.

C.                                D.

 

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已知函數(shù)的導(dǎo)函數(shù),

函數(shù)的圖象如右圖所示,且

則不等式的解集為(   )

A.B. C. D.

 

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已知函數(shù)的導(dǎo)函數(shù),

函數(shù)的圖象如右圖所示,且,

則不等式的解集為              (    )

       A.  B.  C.  D. 

 

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已知函數(shù)的導(dǎo)函數(shù),函數(shù)的圖象如右圖所示,且,則不等式的解集為( )

A.B.
C.D.

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已知函數(shù)的導(dǎo)函數(shù),函數(shù)的圖象如右圖所示,且,則不等式的解集為(   )

A.                 B. 

C.        D. 

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一、選擇題:

1.B      2.A      3.B      4.D      5.D       6.B       7.A  

8.B      9.D      10.C      11.A    12.C

二、填空題:

13.1       14.6ec8aac122bd4f6e              15.20        1 6.32       17.6ec8aac122bd4f6e

18、 0 ;   19、;  20、;    21、 ③  ;  22.①③

三、解答題:

23解:(Ⅰ)因為6ec8aac122bd4f6e,6ec8aac122bd4f6e,所以

6ec8aac122bd4f6e

6ec8aac122bd4f6e

因此,當(dāng)6ec8aac122bd4f6e,即6ec8aac122bd4f6e6ec8aac122bd4f6e)時,6ec8aac122bd4f6e取得最大值6ec8aac122bd4f6e;

(Ⅱ)由6ec8aac122bd4f6e6ec8aac122bd4f6e6ec8aac122bd4f6e,兩邊平方得

6ec8aac122bd4f6e,即6ec8aac122bd4f6e

24解:(1)當(dāng)點6ec8aac122bd4f6e6ec8aac122bd4f6e的中點時,6ec8aac122bd4f6e。    

理由如下:6ec8aac122bd4f6e6ec8aac122bd4f6e分別為6ec8aac122bd4f6e、PD的中點,

6ec8aac122bd4f6e6ec8aac122bd4f6e。                           

6ec8aac122bd4f6e6ec8aac122bd4f6e,6ec8aac122bd4f6e

6ec8aac122bd4f6e                       

(2)6ec8aac122bd4f6e6ec8aac122bd4f6e6ec8aac122bd4f6e 6ec8aac122bd4f6e   

 6ec8aac122bd4f6e,6ec8aac122bd4f6e

       6ec8aac122bd4f6e,6ec8aac122bd4f6e          

       6ec8aac122bd4f6e  6ec8aac122bd4f6e

       6ec8aac122bd4f6e,點6ec8aac122bd4f6e6ec8aac122bd4f6e的中點  6ec8aac122bd4f6e

       又6ec8aac122bd4f6e    6ec8aac122bd4f6e       

       6ec8aac122bd4f6e    6ec8aac122bd4f6e            

25解:(1)依題意知,6ec8aac122bd4f6e                                          

6ec8aac122bd4f6e,6ec8aac122bd4f6e.                      

∴所求橢圓6ec8aac122bd4f6e的方程為6ec8aac122bd4f6e.                           

(2)∵ 點6ec8aac122bd4f6e6ec8aac122bd4f6e關(guān)于直線6ec8aac122bd4f6e的對稱點為6ec8aac122bd4f6e

6ec8aac122bd4f6e                              

解得:6ec8aac122bd4f6e,6ec8aac122bd4f6e.                    

6ec8aac122bd4f6e.                                    

∵ 點6ec8aac122bd4f6e6ec8aac122bd4f6e在橢圓6ec8aac122bd4f6e:6ec8aac122bd4f6e上,∴6ec8aac122bd4f6e, 則6ec8aac122bd4f6e.

6ec8aac122bd4f6e的取值范圍為6ec8aac122bd4f6e.                             

26解:(1)當(dāng)6ec8aac122bd4f6e時,6ec8aac122bd4f6e.                                    

當(dāng)6ec8aac122bd4f6e時,6ec8aac122bd4f6e

6ec8aac122bd4f6e

6ec8aac122bd4f6e.                                   

6ec8aac122bd4f6e不適合上式,

6ec8aac122bd4f6e                                     

(2)證明: ∵6ec8aac122bd4f6e.

當(dāng)6ec8aac122bd4f6e時,6ec8aac122bd4f6e                                 

當(dāng)6ec8aac122bd4f6e時,6ec8aac122bd4f6e,          ①

6ec8aac122bd4f6e.   ②

①-②得:

6ec8aac122bd4f6e

6ec8aac122bd4f6e

6ec8aac122bd4f6e,                          

此式當(dāng)6ec8aac122bd4f6e時也適合.

6ec8aac122bd4f6eN6ec8aac122bd4f6e.                                

6ec8aac122bd4f6e,

6ec8aac122bd4f6e.                                            

當(dāng)6ec8aac122bd4f6e時,6ec8aac122bd4f6e,

6ec8aac122bd4f6e.                                  

6ec8aac122bd4f6e

6ec8aac122bd4f6e.                                     

6ec8aac122bd4f6e,即6ec8aac122bd4f6e.

綜上,6ec8aac122bd4f6e.                          

6ec8aac122bd4f6e27解:(I)由圖象在6ec8aac122bd4f6e處的切線與6ec8aac122bd4f6e軸平行,

6ec8aac122bd4f6e,∴6ec8aac122bd4f6e

6ec8aac122bd4f6e,故6ec8aac122bd4f6e6ec8aac122bd4f6e.

(II)令6ec8aac122bd4f6e,

6ec8aac122bd4f6e6ec8aac122bd4f6e  

易證6ec8aac122bd4f6e6ec8aac122bd4f6e的極大值點,6ec8aac122bd4f6e是極小值點(如圖).

6ec8aac122bd4f6e,得6ec8aac122bd4f6e6ec8aac122bd4f6e.

分類:(I)當(dāng)6ec8aac122bd4f6e時,6ec8aac122bd4f6e,∴6ec8aac122bd4f6e .     ②

由①,②解得6ec8aac122bd4f6e,符合前提6ec8aac122bd4f6e .  

(II)當(dāng)6ec8aac122bd4f6e時,6ec8aac122bd4f6e,

6ec8aac122bd4f6e.      ③

由①,③得  6ec8aac122bd4f6e .

6ec8aac122bd4f6e,

6ec8aac122bd4f6e,

6ec8aac122bd4f6e6ec8aac122bd4f6e上是增函數(shù),又6ec8aac122bd4f6e,∴6ec8aac122bd4f6e,

6ec8aac122bd4f6e6ec8aac122bd4f6e上無實數(shù)根.

綜上,6ec8aac122bd4f6e的值為6ec8aac122bd4f6e

 


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