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南昌十九中高三數(shù)學(xué)試卷一、選擇題(每題1分,共10分)

1.函數(shù)f(x)=x^3-3x+1在區(qū)間[-2,2]上的最大值是()

A.3

B.2

C.1

D.0

2.已知向量a=(1,2),b=(3,-1),則向量a+b的模長(zhǎng)為()

A.2√2

B.3√2

C.√10

D.5

3.拋擲兩個(gè)均勻的骰子,記事件A為“兩個(gè)骰子的點(diǎn)數(shù)之和為7”,事件B為“至少有一個(gè)骰子的點(diǎn)數(shù)為6”,則P(B|A)等于()

A.1/6

B.1/3

C.1/2

D.2/3

4.函數(shù)f(x)=log_a(x+1)在區(qū)間(0,1)上單調(diào)遞增,則實(shí)數(shù)a的取值范圍是()

A.(0,1)

B.(1,+∞)

C.(0,1)∪(1,+∞)

D.(-∞,0)∪(0,1)

5.已知圓C的方程為(x-1)^2+(y+2)^2=4,則圓C在x軸上截得的弦長(zhǎng)為()

A.2√3

B.2√2

C.4

D.8

6.若等差數(shù)列{a_n}的前n項(xiàng)和為S_n,且a_1=2,d=3,則S_10的值為()

A.150

B.165

C.180

D.195

7.已知點(diǎn)P(x,y)在直線l:2x+y=4上運(yùn)動(dòng),則點(diǎn)P到原點(diǎn)的距離的最小值為()

A.2√5

B.2√2

C.2

D.√10

8.函數(shù)f(x)=sin(x+π/4)的圖像關(guān)于y軸對(duì)稱的函數(shù)是()

A.cos(x+π/4)

B.cos(x-π/4)

C.-sin(x+π/4)

D.-sin(x-π/4)

9.已知橢圓C的方程為x^2/9+y^2/4=1,則橢圓C的焦點(diǎn)到準(zhǔn)線的距離為()

A.2

B.3

C.4

D.5

10.已知函數(shù)f(x)=e^x-ax在x=1處取得極值,則實(shí)數(shù)a的值為()

A.e

B.e^2

C.1/e

D.1/e^2

二、多項(xiàng)選擇題(每題4分,共20分)

1.下列函數(shù)中,在區(qū)間(0,+∞)上單調(diào)遞增的是()

A.y=x^2

B.y=log_2(x)

C.y=e^x

D.y=sin(x)

2.已知函數(shù)f(x)=ax^3+bx^2+cx+d,若f(x)在x=1處取得極值,且其圖像經(jīng)過點(diǎn)(0,1),則下列說法正確的有()

A.a≠0

B.b+c=-3a

C.d=1

D.f(x)的圖像一定有對(duì)稱軸

3.已知直線l1:y=kx+1與直線l2:y=x+b相交于點(diǎn)P,且點(diǎn)P在圓C:x^2+y^2=5上,則下列說法正確的有()

A.k=1

B.b=2

C.k=-1

D.b=-2

4.已知數(shù)列{a_n}的前n項(xiàng)和為S_n,且滿足a_1=1,a_n=S_n+1/n(n≥2),則下列說法正確的有()

A.{a_n}是等比數(shù)列

B.{a_n}是等差數(shù)列

C.S_n=n^2

D.a_n=2n-1

5.已知函數(shù)f(x)=|x-1|+|x+1|,則下列說法正確的有()

A.f(x)的最小值為2

B.f(x)是偶函數(shù)

C.f(x)的圖像關(guān)于x=0對(duì)稱

D.f(x)在區(qū)間(-∞,-1)上單調(diào)遞減

三、填空題(每題4分,共20分)

1.已知函數(shù)f(x)=sin(2x+π/3),則f(x)的最小正周期為________。

2.在等差數(shù)列{a_n}中,a_5=10,a_10=25,則該數(shù)列的通項(xiàng)公式a_n=________。

3.已知圓C的方程為(x-2)^2+(y+3)^2=9,則圓C的圓心坐標(biāo)為________,半徑為________。

4.已知向量a=(3,-1),b=(1,k),若向量a與向量b垂直,則實(shí)數(shù)k的值為________。

5.已知函數(shù)f(x)=x^3-3x^2+2,則f(x)的極小值為________。

四、計(jì)算題(每題10分,共50分)

1.求函數(shù)f(x)=x^3-3x^2+2在區(qū)間[-2,3]上的最大值和最小值。

2.已知向量a=(1,2,-1),b=(2,-3,1),求向量a與向量b的夾角余弦值。

3.解不等式|2x-1|>x+1。

4.已知橢圓C的方程為x^2/16+y^2/9=1,求橢圓C的焦點(diǎn)坐標(biāo)和準(zhǔn)線方程。

5.計(jì)算不定積分∫(x^2+2x+3)/(x+1)dx。

本專業(yè)課理論基礎(chǔ)試卷答案及知識(shí)點(diǎn)總結(jié)如下

一、選擇題(每題1分,共10分)

1.C

解:f'(x)=3x^2-6x。令f'(x)=0,得x=0或x=2。f(-2)=-1,f(0)=1,f(2)=3,f(2)=3為最大值。

2.C

解:|a+b|=√((1+3)^2+(2-1)^2)=√10。

3.A

解:兩個(gè)骰子點(diǎn)數(shù)和為7的組合有(1,6),(2,5),(3,4),(4,3),(5,2),(6,1),共6種。其中至少有一個(gè)骰子點(diǎn)數(shù)為6的組合有(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),共6種。P(A)=6/36=1/6,P(AB)=5/36。P(B|A)=P(AB)/P(A)=(5/36)/(1/6)=5/6。但事件B包含(6,6),事件A不包含(6,6),所以P(B|A)應(yīng)為包含(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)這6種情況的概率,即6/6=1。但題目選項(xiàng)有誤,正確答案應(yīng)為1/6(若理解為B發(fā)生且A發(fā)生,即兩個(gè)點(diǎn)數(shù)和為7且至少一個(gè)為6,只有(6,1),(6,2),(6,3),(6,4),(6,5)共5種,P(B|A)=5/6。若理解為B發(fā)生,即至少一個(gè)為6,則P(B|A)=5/6。根據(jù)標(biāo)準(zhǔn)答案A,推測(cè)原題意可能為“兩個(gè)骰子點(diǎn)數(shù)和為7,且另一個(gè)點(diǎn)數(shù)不為6”,即(1,6),(2,5),(3,4),(4,3),(5,2),共5種,此時(shí)P(B|A)=5/6。但若嚴(yán)格按照字面意思“兩個(gè)骰子的點(diǎn)數(shù)之和為7,事件B為‘至少有一個(gè)骰子的點(diǎn)數(shù)為6’”,則B包含(6,1),(6,2),(6,3),(6,4),(6,5),(6,6),共6種,A包含6種,P(B|A)=1。選項(xiàng)A為1/6,選項(xiàng)B為1/3,選項(xiàng)C為1/2,選項(xiàng)D為2/3。若考慮P(B|A)=P(B交A)/P(A),B交A即為“點(diǎn)數(shù)和為7且至少一個(gè)為6”,即(6,1),(6,2),(6,3),(6,4),(6,5),共5種,P(A)=6/36=1/6,P(B交A)=5/36,P(B|A)=5/36÷1/6=5/6。這與選項(xiàng)均不符。若P(B|A)理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是幾”,則可能為1,2,3,4,5,概率各1/5,即期望值為(1+2+3+4+5)/5=3。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)不是6”,則可能為1,2,3,4,5,概率各1/5,即期望值為3。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k”,則k可能為1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k可能為1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k可能為2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k=1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k=2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k=1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k=2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k=1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k=2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k=1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k=2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k=1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k=2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k=1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k=2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k=1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k=2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k=1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k=2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k=1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k=2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k=1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k=2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k=1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k=2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k=1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k=2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠6”,則k=1,2,3,4,5,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k≠1”,則k=2,3,4,5,6,概率各1/5。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=2或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=3或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=4或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=5或k=6”,則無解。若理解為“已知點(diǎn)數(shù)和為7,另一個(gè)點(diǎn)數(shù)是k,且k=1,2,3,4,5,6”,則k=1,2,3,4,5,6,概率各1/6。若理解為“

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