( a - 2 ) ( b - 2 ) = 4

29:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["두 양수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}],", ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

b

"}}],"에 대하여\n\t",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$9a"}}],", ",["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$9b"}}],"\n일 때, ","$L9c","의 값은? [4점]\n① ","$L9d","\n② ","$L9e","\n③ ","$L9f","\n④ ","$La0","\n⑤ ","$La1",""]}]]}] a2:T14b4,

\displaystyle \lim\limits _{x \rightarrow \infty} {\frac{f \left( x \right) - x ^{2}}{3 x ^{2} + 2 x + 5}} = \frac{1}{3}

2a:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["다항함수 ",["$","span","p0-0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f \\left( x \\right)

"}}],"가 다음 조건을 만족시킬 때, ",["$","span","p0-0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f ( 3 )

"}}],"의 값은?\n[4점]"]}],["$","div","t0-1",{"className":"mb-[1.2em] overflow-x-auto","children":["$","table",null,{"className":"w-auto border-collapse text-[15px]","children":["$","tbody",null,{"children":[["$","tr","t0-1-r0",{"children":[["$","td","t0-1-r0c0",{"rowSpan":"$undefined","colSpan":3,"className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"none","backgroundColor":"$undefined"},"children":[]}]]}],["$","tr","t0-1-r1",{"children":[["$","td","t0-1-r1c0",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"none","borderTop":"none","borderBottom":"none","backgroundColor":"$undefined"},"children":[]}],["$","td","t0-1-r1c1",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-left whitespace-pre-wrap","style":{"borderLeft":"none","borderRight":"none","borderTop":"none","borderBottom":"none","backgroundColor":"$undefined"},"children":["(가) ",["$","span","t0-1-r1c1-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$a2"}}],"\n(나) ","$La3",""]}],"$La4"]}],"$La5"]}]}]}],"$La6"]}] a7:T775,

x ^{2} + y ^{2} = 1

a8:T8f5,

\displaystyle y = \sqrt{x + 1}

2b:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["그림과 같이 원 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$a7"}}],"과 곡선 ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$a8"}}],"이 직선 ","$La9","과 제","$Laa","사분면에서 만나는 점을 각각 ","$Lab",", ","$Lac","라 하자. 삼각형 ","$Lad","의 넓이를 ","$Lae","라 할 때, ","$Laf","의 값은? (단, ","$Lb0","는 원점이다.) [4점]"]}],"$Lb1","$Lb2"]}] b3:T25ff,

\displaystyle \sum\limits _{n = 1} ^{\infty} \frac{p ^{n} + 3 p ^{n - 1} + 3 ^{2} p ^{n - 2} + \cdots + 3 ^{n - 1} p + 3 ^{n}}{( p + 3 ) ^{n}} = \frac{p ^{2} + 3 p + {\square {( \text{다} )}}}{3 p}

2c:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["다음은 ",["$","span","p0-0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}],"이 아닌 양수 ",["$","span","p0-0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p

"}}],"에 대하여\n ",["$","span","p0-0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$b3"}}],"\n가 성립함을 보이는 과정이다."]}],"$Lb4","$Lb5"]}] 2d:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["그림과 같이 길이가 ",["$","span","p0-0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

4

"}}],"인 선분 ",["$","span","p0-0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{AB}

"}}],"를 지름으로 하는 반원이 있다. 선분 ",["$","span","p0-0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{AB}

"}}],"의 중점을 ",["$","span","p0-0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{O}

"}}],"라 하고, 호 ",["$","span","p0-0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{AB}

"}}]," 위에 두 점 ",["$","span","p0-0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{P}

"}}],", ","$Lb6","를 ","$Lb7","가 되도록 잡는다.\n부채꼴 ","$Lb8","의 내부에서 점 ","$Lb9","를 중심으로 하고 선분 ","$Lba","를 반지름으로 하는 원의 내부와 점 ","$Lbb","를 중심으로 하고 선분 ","$Lbc","를 반지름으로 하는 원의 내부의 공통부분을 제외한\n","$Lbd"]}],"$Lbe","$Lbf","$Lc0","$Lc1"]}] c2:T1884,

\displaystyle f ( x ) = {\begin{cases} \begin{aligned} ( x - a ) ^{2} \\ \end{aligned} & \begin{aligned} ( x \leq a ) \\ \end{aligned} \\ ( x - 2 ) ( x - a ) & ( x > a ) \end{cases}}

2e:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}],"가 아닌 양수 ",["$","span","p0-0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}],"에 대하여 함수\n\t",["$","span","p0-0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$c2"}}],"\n가 다음 조건을 만족시킬 때, ","$Lc3","의 값은? [4점]"]}],"$Lc4","$Lc5"]}] c6:T495,

y = x ^{2}

c7:Tafe,

\mathrm{P} \mathit{\mathrm{_{\mathit{n}}}} ( x _{n} , x _{n} ^{2} )

2f:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["곡선 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$c6"}}]," 위의 점을 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$c7"}}],"이라 하자. 점 ","$Lc8","이고, 직선 ","$Lc9","의 기울기를 ","$Lca","이라 할 때, 수열 ","$Lcb","이 다음 조건을 만족시킨다. (단, ","$Lcc","은 자연수이다.)\n(가) ","$Lcd","\n(나) ","$Lce","인 상수 ","$Lcf","에 대하여\n","$Ld0"," ","$Ld1","","$Ld2",", ","$Ld3",", ","$Ld4",", ","$Ld5","","$Ld6","이다."]}],"$Ld7","$Ld8"]}] d9:T45e,

x ^{2} = a

30:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["명제\n\t‘",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x = 5

"}}],"이면 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$d9"}}],"이다.’\n가 참이 되도록 하는 상수 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}],"의 값을 구하시오. [3점]"]}]]}] da:T599,

f \left( x \right) = ax - 6

db:T901,

\displaystyle g \left( x \right) = \frac{1}{2} x + b

31:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["두 함수\n\t",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$da"}}],", ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$db"}}],"\n가 모든 실수 ","$Ldc","에 대하여 ","$Ldd","를 만족시킬 때,\n","$Lde","의 값을 구하시오. (단, ","$Ldf",", ","$Le0","는 상수이다.) [3점]"]}]]}] e1:T4b4,

\left\{ a _{n} \right\}

e2:Tf41,

\displaystyle \sum\limits _{n = 1} ^{\infty} \left( \frac{2 n}{12 n + 3} a _{n} - 1 \right)

32:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["수열 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$e1"}}],"에 대하여 급수 ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$e2"}}],"이 수렴할 때, ","$Le3","의 값을 구하시오. [3점]"]}]]}] e4:T199e,

\displaystyle f ( x ) = {\begin{cases} 2 x ^{2} + ax + b & ( x < 2 ) \\ & \\ 5 ax - 12 & ( x \geq 2 ) \end{cases}}

33:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["두 상수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}],", ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

b

"}}],"에 대하여 함수\n\t",["$","span","p0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$e4"}}],"\n가 ","$Le5","에서 미분가능할 때, ","$Le6","의 값을 구하시오. [3점]"]}]]}] e7:Te67,

\displaystyle p : \left| x - \frac{3}{2} \right| \leq a

2017년-09월-고2-수학(나형)