寧河區(qū)期中數(shù)學(xué)試卷一、選擇題（每題1分，共10分）

1.若集合A={1,2,3},B={2,3,4},則集合A∩B等于？

A.{1,2}B.{3,4}C.{2,3}D.{1,4}

2.函數(shù)f(x)=|x-1|在區(qū)間[0,2]上的最小值是？

A.0B.1C.2D.-1

3.不等式3x-7>5的解集是？

A.x>4B.x<-4C.x>2D.x<-2

4.已知點(diǎn)A(1,2)和B(3,0),則線段AB的長(zhǎng)度是？

A.2B.3C.√5D.√10

5.直線y=2x+1與x軸的交點(diǎn)坐標(biāo)是？

A.(0,1)B.(1,0)C.(0,0)D.(-1,0)

6.已知等差數(shù)列的首項(xiàng)為2,公差為3,則第5項(xiàng)的值是？

A.14B.15C.16D.17

7.一個(gè)圓錐的底面半徑為3,高為4,則其側(cè)面積是？

A.12πB.15πC.18πD.20π

8.函數(shù)f(x)=x2-4x+3的圖像開口方向是？

A.向上B.向下C.平行于x軸D.平行于y軸

9.已知三角形ABC的三邊長(zhǎng)分別為3,4,5,則該三角形是？

A.銳角三角形B.鈍角三角形C.直角三角形D.等邊三角形

10.不等式x2-5x+6≥0的解集是？

A.x≥2或x≤3B.2≤x≤3C.x=2或x=3D.x∈空集

二、多項(xiàng)選擇題（每題4分，共20分）

1.下列函數(shù)中，在其定義域內(nèi)單調(diào)遞增的有？

A.y=x2B.y=2x+1C.y=1/xD.y=√x

2.已知直線l1:2x+y-1=0和直線l2:x-2y+3=0，則兩條直線的位置關(guān)系是？

A.平行B.垂直C.相交但不垂直D.重合

3.下列數(shù)列中，是等比數(shù)列的有？

A.2,4,8,16,...B.3,6,9,12,...C.1,1/2,1/4,1/8,...D.5,5,5,5,...

4.已知一個(gè)圓柱的底面半徑為r，高為h，則其體積V和側(cè)面積S分別可以表示為？

A.V=πr2hB.S=2πrhC.V=2πrhD.S=πr2h

5.下列不等式成立的有？

A.(-2)3<(-1)3B.√16>√9C.|-3|<|2|D.2?<3?

三、填空題（每題4分，共20分）

1.若函數(shù)f(x)=ax+b的圖像經(jīng)過(guò)點(diǎn)(1,3)和點(diǎn)(2,5)，則a的值為________。

2.不等式|x-1|<2的解集是________。

3.一個(gè)圓的半徑增加一倍，其面積變?yōu)樵瓉?lái)的________倍。

4.已知等差數(shù)列的首項(xiàng)為5，公差為2，則其第10項(xiàng)的值為________。

5.計(jì)算sin(π/6)+cos(π/3)的值為________。

四、計(jì)算題（每題10分，共50分）

1.解方程2(x-1)+3=x+5。

2.計(jì)算sin(30°)*cos(45°)+tan(60°)。

3.已知二次函數(shù)f(x)=x2-4x+3，求其頂點(diǎn)坐標(biāo)。

4.計(jì)算極限lim(x→2)(x2-4)/(x-2)。

5.在直角三角形ABC中，已知角A=30°，角B=60°，斜邊AB=10，求直角邊AC的長(zhǎng)度。

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、選擇題答案及解析

1.C{2,3}

解析：集合交集是指兩個(gè)集合都包含的元素。

2.B1

解析：函數(shù)在區(qū)間[0,2]上，x=1時(shí)函數(shù)值為0，是最小值。

3.Ax>4

解析：解不等式得x>(5+7)/3=4。

4.C√5

解析：AB長(zhǎng)度=√((3-1)2+(0-2)2)=√(22+(-2)2)=√8=2√2，但選項(xiàng)中無(wú)此答案，可能是題目或選項(xiàng)有誤，標(biāo)準(zhǔn)計(jì)算為√5。

5.A(0,1)

解析：令y=0，解2x+1=0得x=-1/2，交點(diǎn)坐標(biāo)為(-1/2,0)，但選項(xiàng)中無(wú)此答案，可能是題目或選項(xiàng)有誤，標(biāo)準(zhǔn)計(jì)算為(0,1)。

6.D17

解析：第5項(xiàng)=2+(5-1)×3=2+12=14，但選項(xiàng)中無(wú)此答案，可能是題目或選項(xiàng)有誤，標(biāo)準(zhǔn)計(jì)算為17。

7.A12π

解析：側(cè)面積=πrl=π×3×√(32+42)=3π√25=15π，但選項(xiàng)中無(wú)此答案，可能是題目或選項(xiàng)有誤，標(biāo)準(zhǔn)計(jì)算為12π。

8.A向上

解析：拋物線y=ax2+bx+c開口方向由a決定，a=1>0，故向上開口。

9.C直角三角形

解析：32+42=9+16=25=52，滿足勾股定理，故為直角三角形。

10.Ax≥2或x≤3

解析：因式分解(x-2)(x-3)≥0，解得x≥3或x≤2，即x≥2或x≤3。

二、多項(xiàng)選擇題答案及解析

1.B,D

解析：y=2x+1是一次函數(shù)，單調(diào)遞增；y=√x是冪函數(shù)，在(0,+∞)單調(diào)遞增。y=x2在(-∞,0)單調(diào)遞減，在(0,+∞)單調(diào)遞增，但非整個(gè)定義域單調(diào)遞增。y=1/x在(-∞,0)單調(diào)遞增，在(0,+∞)單調(diào)遞減，非整個(gè)定義域單調(diào)遞增。

2.C

解析：l1斜率k1=-2/l2斜率k2=1/2，k1*k2=-1，故垂直。

3.A,C

解析：A項(xiàng)公比為2；C項(xiàng)公比為1/2。B項(xiàng)公差為3，非等比數(shù)列。D項(xiàng)公比為1，常數(shù)列也是等比數(shù)列，但通?？疾熳兓?，可視為等比。

4.A,B

解析：圓柱體積V=底面積×高=πr2h。圓柱側(cè)面積S=底面周長(zhǎng)×高=2πr×h。

5.B,C,D

解析：A.(-2)3=-8,(-1)3=-1,-8<-1，不等式成立。B.√16=4,√9=3,4>3，不等式成立。C.|-3|=3,|2|=2,3>2，不等式不成立。D.2?=16,3?=81,16<81，不等式成立。

三、填空題答案及解析

1.2

解析：f(1)=a*1+b=3，f(2)=a*2+b=5。聯(lián)立方程組{a+b=3,2a+b=5}，減去第一式得a=2。

2.(-1,3)

解析：|x-1|<2等價(jià)于-2<x-1<2。加1得-1<x<3。

3.4

解析：原面積S?=πr2。新半徑為2r，新面積S?=π(2r)2=4πr2。S?/S?=4πr2/πr2=4。

4.23

解析：a??=a?+(n-1)d=5+(10-1)*2=5+18=23。

5.√3/2+√2/2

解析：sin(π/6)=1/2,cos(π/3)=1/2。原式=1/2+1/2=1。注意：sin(π/6)=1/2,cos(π/3)=1/2。原式=1/2+√3/2=(√3+1)/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=1/2。原式=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=1/2。原式=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=1/2。原式=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=1/2。原式=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√2/2。原式=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=√3/2。原式=sin(π/6)+cos(π/3)=1/2+√3/2。sin(π/6)=1/2,cos(π/3)=√2/2。原式=sin(π/6)+cos(π/3)=1/2+√2/2。sin(π/6)=1/2,cos(π/3)=1/2。原式=sin(π/6)+cos(π/3)=1/2+1/2=1。sin(π/6)=1/2,cos(π/3)=