已知椭圆x2/a2 y2/b2=1(a&b&0）的左焦点为F，右顶点为A，点B..._健康_考试与招生资讯网
已知椭圆x2/a2 y2/b2=1(a&b&0）的左焦点为F，右顶点为A，点B...
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已知椭圆x2/a2+y2/b2=1(ab0）的左焦点为F，右顶点为A，点B在椭圆上，且BF⊥x轴已知椭圆x2/a2+y2/b2=1(ab0）的左焦点为F，右顶点为A，点B在椭圆上，且BF⊥x轴，直线AB交Y轴于点P，若向量AP=2向量PB，则椭圆的离心率 【最佳答案】∵向量AP=2PB，∴|AP|=2|PB|，∵BF⊥x轴，∴OP//BF，根据三角形平行比例线段定理，|AP|/|PB|=|AO|/|OF|=2，OA=a,FO=c,∴c/a=1/2,∴离心率e=c/a=1/2. 荐椭圆:焦点|椭圆:体积|椭圆:简单|椭圆:画法|椭圆:几何
设椭圆C:x^2/a^2+y^2/b^2=1（ab0）的右焦点为F，10分设椭圆C:x^2/a^2+y^2/b^2=1（ab0）的右焦点为F，过F的直线l与椭圆C相交于A、B两点，直线l的倾斜角为60度，向量AF=2FB.求椭圆C的离心率。如果|AB|=15/4,求椭圆C的方程、 【推荐答案】()代表向量(1):(AF)=2(FB)→F为AB的三等分点设A(x1,y1),B(x2,y2)→x1+x2=3c/2①设过焦点F(c,0)直线方程：y=√3/3*(x-c)②联立椭圆方程→(b²+a²/3)x²-2a²cx/3+a²c²/3-1=0→x1+x2=2a²c/3(b²+a²/3)③①③→a²=9b²→e²=c²/a²=8/9→e=2√2/3(2):由(1)→(x1+x2)=3c/2,x1x2=(a²c²/3-a²b²)/(b²+a²/3)=15b²/4→|x1-x2|=√[(x1+x2)²-4x1x2]|AB|=√(1+k²)*|x1-x2|带入求值即可
设A.F分别椭圆x2/a2+y2/b2=1(ab0)的左顶点与右焦点，若在其右准线上存在点P，设A.F分别椭圆x2/a2+y2/b2=1(ab0)的左顶点与右焦点，若在其右准线上存在点P，使得线段PA的垂直平分线恰好经过点F，则该椭圆的离心率的取值范围是 【最佳答案】解：连接PF，设右准线与x轴点为B，A点坐标(-a,0)、F点坐标(c,0)，右准线方程：x=c^2/a|PF|=|AF|=c+a|BF|=c^2/a-c所以当|PFBF|时，必存在一点P使得线段PA的垂直平分线恰好经过点F，即c+ac^2/a-cac+a^2c^2-aca^2+2ac-c^201+2e-e^20e^2-2e-1&01-√2&e&1+√2所以0&e&1
椭圆C:x^2/a^2+y^2/b^2=1(ab0)的离心率为√3/3，过右焦点F的直线L与C相交于A、B两点，当l的斜率为1时坐标原点O到L的距离为√2/2。（1）求a，b的值（2）C上是否存在点P，使得当L绕F转到某一位置时，有向量OP=向量OA+向量OB成立？注：真心求解，请不要复制粘贴。我在百度搜到过一题。表述真的不懂。 1-0316:29【最佳答案】椭圆x^2/a^2+y^2/b^2=1(ab0)，e=√3/3，过右焦点的直线L与椭圆相交于A、B二点，直线L的斜率为1时，原点到直线L距离为√2/2。(1)求a,b值(2)C上是否存在点P，当L绕F转某位置，有向量OP=OA+OB成立，若存在,求P坐标及L方程，若不存在，请说明理由。(1)解析：∵e=√3/3,∴a=√3c设直线L方程为x=y+c∵原点到直线L距离为√2/2,∴|c|/√2=√2/2==c=1∴a=√3,b=√2(2)解析：设直线L方程为x=my+1==x^2=m^2y^2+2my+1椭圆：2x^2+3y^2=6(2m^2+3)y^2+4my-4=0Y1+y2=-4m/(2m^2+3),y1y2=-4/(2m^2+3)X1+x2=m(y1+y2)+2设P(x,y)∵向量OP=OA+OB∴x=x1+x2=-4m^2/(2m^2+3)+2=6/(2m^2+3)Y=y1+y2=-4m/(2m^2+3)代入椭圆：72/(2m^2+3)^2+48m^2/(2m^2+3)^2=624(3+2m^2)/(2m^2+3)^2=64=(2m^2+3)==m1=-√2/2,m1=√2/2∴存在点P(3/2,-√2/2)或P(3/2,√2/2)直线L方程x=-√2/2y+1或x=√2/2y+1热心网友 1-0316:50荐离心率:椭圆|离心率:焦点|离心率:直线|离心率:根号|离心率:范围
已知椭圆C:x2/a2+y2/b2=1(ab0)的一个顶点为A(2,0),离心率为根号2/2,直线y=k(x-1)与椭圆C交于不同的两...30分已知椭圆C:x2/a2+y2/b2=1(ab0)的一个顶点为A(2,0),离心率为根号2/2,直线y=k(x-1)与椭圆C交于不同的两点M,N.当三角形AMN的面积为根号10/3,求K的值 【推荐答案】由A(2,0)可得:a=2,离心率e=c/a=c/2=√2/2,∴c=√2,b=√(a^2-c^2)=√2,∴椭圆方程为:x^2/4+y^2/2=1,设M(x1,y1),N(x2,y2),直线方程为:kx-y-k=0,A点至直线距离h=|2k-0-k|/√(1+k^2)=|k|/√(1+k^2),x^2/4+k^2(x-1)^2/2=1,(1+2k^2)x^2-4k^2x+2k^2-4=0,根据韦达定理,x1+x2=4k^2/(1+2k^2),x1*x2=(2k^2-4)/(1+2k^2)根据弦长公式,|MN|=√(1+k^2)[(x1+x2)^2-4x1x2]=√(1+k^2)[16k^4/(1+2k^2)^2-4(2k^2-4)/(1+2k^2)]=[√(1+k^2)(24k^2+16)]/(1+2k^2)=[2√(1+k^2)(6k^2+4)]/(1+2k^2)S△AMN=(1/2)|MN|*h=√[(1+k^2)/(4+6k^2)]*|k|/√(1+k^2)=√(4+6k^2)|k|/(1+2k^2)=√10/3,7k^4-2k^2-5=0,(7k^2+5)(k^2-1)=0,7k^2+5≠0,k^2-1=0,∴k=±1, 3-2508:44【其他答案】由A(2,0)可得:a=2,离心率e=c/a=c/2=√2/2,∴c=√2,b=√(a^2-c^2)=√2,∴椭圆方程为:x^2/4+y^2/2=1,设M(x1,y1),N(x2,y2),直线方程为:kx-y-k=0,A点至直线距离h=|2k-0-k|/√(1+k^2)=|k|/√(1+k^2),x^2/4+k^2(x-1)^2/2=1,(1+2k^2)x^2-4k^2x+2k^2-4=0,根据韦达定理,x1+x2=4k^2/(1+2k^2),x1*x2=(2k^2-4)/(1+2k^2)根据弦长公式,|MN|=√(1+k^2)[(x1+x2)^2-4x1x2]=√(1+k^2)[16k^4/(1+2k^2)^2-4(2k^2-4)/(1+2k^2)]=[√(1+k^2)(24k^2+16)]/(1+2k^2)=[2√(1+k^2)(6k^2+4)]/(1+2k^2)S△AMN=(1/2)|MN|*h=√[(1+k^2)/(4+6k^2)]*|k|/√(1+k^2)=√(4+6k^2)|k|/(1+2k^2)=√10/3,7k^4-2k^2-5=0,(7k^2+5)(k^2-1)=0,7k^2+5≠0,k^2-1=0,∴k=±1, 4-2420:14笨蛋热心网友 4-3021:46
已知椭圆X^2/A^2+Y^2/B^2=1(AB0)的左焦点为F,右顶点为A,点B在椭圆上,且BF垂直X轴,直线AB交Y轴于点P,若AP向量=2PB向量,则椭圆的离心率为多少 【最佳答案】楼上的思路不错，但是写的匆忙，有点错误因为A、P、B在直线AB上我们可以直接用比例解因为BF垂直X轴，所以AP/PB=AO/OFAP/PB=2/1AO/OF=a/c所以a/c=2/1那么e=c/a=1/2 荐椭圆:焦点|椭圆:方程|椭圆:公式|椭圆:面积|椭圆:离心率【其他答案】答案是1/2。你用相似三角型的知识解答。可以发现。因为PO平行于bf。所以三角型apo相似于三角形abf。又因为焦点在X上且。AP等于2PB所以。AO也等于2OF。而因为AO是长轴。也等于a所以2a=c。所以c/a=1/2
已知AB为椭圆x^2/4+y^2/3=1的左右两个顶点F为椭圆的右焦点已知AB为椭圆x^2/4+y^2/3=1的左右两个顶点F为椭圆的右焦点，P为椭圆上异于AB点的任意一点直线APBP分别交直线l:x=m(m2)于MN点，l交x轴于C点求对任意给定的m值求△MFN面积的最小值高三数学市质检的压轴题，希望有人能解答。问题补充：？？？？？？？？？？？？？？每个人答案都不一样？谁是对的呢？ 【最佳答案】由图形的对称性，不妨设P点在上半椭圆。设P坐标为(x,y)过P作PH⊥AB于点H。那么PH=y，HA=x+2，HB=2-x,AC=m+2,BC=m-2MC/PH=AC/AH所以：MC=PH*AC/AH=y(m+2)/(x+2)NC/PH=BC/BH所以：NC=PH*BC/BH=y(m-2)/(2-x)MC*NC=y^2(m^2-4)/(4-x^2)点P在椭圆上，所以：3x^2+4y^2=12,4-x^2=4y^2/3代入上式得：MC*NC=y^2(m^2-4)/(4y^2/3)=3(m^2-4)/4这个值与P点位置无关，当m是定值，它也是定值。根据平均值不等式：MN=MC+NC=2√MC*NC=√[3(m^2-4)]即MN的最小值为√[3(m^2-4)]FC=m-1也是定值。所以：△MFN面积最小值为(m-1)*√[3(m^2-4)]/2当且仅当MC=CN时能够取到。即：y(m+2)/(x+2)=y(m-2)/(2-x)(m+2)/(x+2)=(m-2)/(2-x)=2m/4=m/2x=(m-2)/2即：当x=(m-2)/2时，△MFN取到最小面积(m-1)*√[3(m^2-4)]/2 荐椭圆:焦点|椭圆:双曲线|椭圆:离心率|椭圆:极坐标|椭圆:方程【其他答案】m给定则三角形的高为定值，因此我们只要求出MN的最小值即可。由对称性我们只考虑P在x轴上方假设P（2cosθ，√3sinθ）（0＜θ＜π），A(-2,0),B(2,0)所以PA方程为y=√3sinθ/(2cosθ+2)(x+2)令x=m,yM=√3sinθ/(2cosθ+2)(m+2)PB方程为y=√3sinθ/(2cosθ-2)(x+2)令x=m,yN=√3sinθ/(2cosθ-2)(m+2)所以yM-yN=√3（m+2）/sinθ最小值为√3（m+2）当θ=π/2时取得最小值，即P点为（0，√3）时取得而高为m-1所以面积最小值为√3（m+2）*（m-1）/2 思路及解题过程：三角形高FC定值=m-1，求MN的最小值即可，求出MN两点纵坐标之差的绝对值即为三角形的底，设P（2cos@，√3*sin@）M：（m，y1）N：（m，y2）A、P、M三点共线，列出方程y1/(m+2)=(√3*sin@)/(2cos@+2);（1）B、P、N三点共线，列出方程y2/(m-2)=(√3*sin@)/(2cos@-2);（2）由（1）（2）得出MN=(y1-y2)的绝对值=√3*（m-2cos@）/sin@上式对@求导，当导数为0，此时取得最小值，此时cos@=2/m,sin@=√1-4/m^2;因此△MFN面积的最小值=0.5*(m-1）*√3*（m-4/m）/(√1-4/m^2=0.5*√3*√（m^2-4)/(m-1),此时P点坐标：（4/m,√3*√(1-4/m^2))思路并不难，做数学题尤其注意解题思路的培养，明确了解题方向一步一步的来，没有什么不可能，加油啊你自己照着思路做一遍就有答案了啊，谁对说错依你的答案 做任何数学题，画出图来就把题做出一半来了。 一楼正解~
F（c，0）是椭圆x2/a2+y2/b2=1（a＞b＞0）的一个焦点。F与椭圆上点的距离的最大值为m，最小值为n，则椭圆上与点F距离为（m+n）/2的点是_______。 【最佳答案】与F距离最大的点是（-a,0）最小的点是（a,0）所以a+c=ma-c=n所以（m+n）/2=a与F距离是a的点是(0,b)或（0，-b） 荐椭圆:焦点|椭圆:方程|椭圆:公式|椭圆:面积|椭圆:离心率【其他答案】(c,b^2/a)
已知椭圆C的方程为x2/a2+y2/b2=1(ab0)双曲线x2/a2-y2/b2=1的两条渐近线为l1,l2,过椭圆C的右焦点作F作直已知椭圆C的方程为x2/a2+y2/b2=1(ab0)双曲线x2/a2-y2/b2=1的两条渐近线为l1,l2,过椭圆C的右焦点作F作直线l,使l垂直于l1,又l与l2交于p点，设l与椭圆C的两个交点由上至下依次为A,B当向量FA=m向量AP,求m的最大值。 【最佳答案】椭圆的右焦点为：(√(a²-b²),0)双曲线的两条渐近线为：y=b/a*x,y=-b/a*x设直线I垂直y=b/a*x,则其斜率为：-a/b方程：y=-a/b(x-√(a²-b²))I方程与y=-b/a*x联立，解出P点坐标(a²/√(a²-b²),-ab/√(a²-b²))设与椭圆的交点A的坐标(p,q)根据图形的几何关系得出m=FA/AP=(q/((ab/√(a²-b²))+q)dm/dq=(ab√(a²-b²))/(√(a²-b²)*q+ab)²因dm/dq0，所以m为增函数，m最大值在q的最大值处。根据图形，A的纵座标最大为b当q=b时，m=√(a²-b²)/(√(a²-b²)+a)√(a²-b²)=c.c/a=离心率em=c/(c+a)=1/(1+1/e),0&e&1所以，m最大值为1/2. 荐渐近线:方程|渐近线:双曲线|渐近线:距离|渐近线:方程|渐近线:原点
在平面直角坐标系xoy中，椭圆x^2/a^2+y^2/b^2=1的左焦点为F，右顶点为A，P是椭圆上一点，L为左准线，PQ⊥L5分需要过程，非常感谢问题补充：求e的取值范围 【推荐答案】设椭圆方程为x^2/a^2+y^2/b^2=1,F(c,0)对椭圆进行压缩变换,x'=x/a,,y'=y/b椭圆变为单位圆:x'^2+y'^2=1,F-F'(c/a,0)【书写方便,变换后图形中字母仍沿用原图形字母,除O外都应加'】延TO交圆O于N易知直线A1B2斜率为1,TM=MO=ON=1,A1B2=√2设T(x,y),则TB2=√2x,y=x+1由割线定理:TB2*TA1=TM*TN√2x(√2x+√2)=1*3,x=(√7-1)/2(负值舍去)y=(√7+1)/2易知:B1(0,-1)直线B1T方程:(y+1)/[(√7+1)/2+1]=(x-0)/[(√7-1)/2-0]令y=0x=2√7-5,即F横坐标即原椭圆的离心率e=c/a=2√7-5参考资料： 荐平面直角坐标系:椭圆|平面直角坐标系:直线|平面直角坐标系:原点|平面直角坐标系:函数|平面直角坐标系:四边形【其他答案】c=√(a^2-b^2),e=c/a.F(±c,0)
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The Nikon Coolpix series are
in many variants produced by . It includes , , ,
Nikon Coolpix cameras are organized into five different lines. The line in which a particular camera is placed is indicated by the letter which is the first character of its model number. The lines are: the (A) series, the (AW) all weather series, the (L) life series, the (P) performance series, and the (S) style series.
The Coolpix A Series is Nikon's new flagship point and shoot camera.
Release date
res., size
Lens (35 mm equiv.)
zoom, aperture
size, pixels
Dimensions
W (mm) × H (mm) × D (mm)
Mar 5, 2013
16 MP
APS-C DX Sensor
18,5 mm (28 mm equiv.)
3.0 in
111 × 64.3 × 40.3
299 g
sized-sensor camera, 18.5 mm lens (28 mm equiv.), SD card storage,
30/25/24P video recording, WiFi Ready
Release date
res., size
Lens (35 mm equiv.)
zoom, aperture
size, pixels
Dimensions
W (mm) × H (mm) × D (mm)
Aug 24, 2011
16 MP
1/2.3 in
28–140 mm (5×)
f/3.9–4.8
3.0 in
110.1 × 64.9 × 22.8
178 g
First ruggedised Coolpix, water resistant to 10 m, shock resistant from 1.5 m, cold resistant to -10 °C, , electronic and lens-based , SD card storage,
video recording, GPS geotagging
AW100 without GPS map capability
Release date
res., size
Lens (35 mm equiv.)
zoom, aperture
size, pixels
Dimensions
W (mm) × H (mm) × D (mm)
Feb 1, 2012
10.1 MP
1/3 in
28–140 mm (5×)
f/2.7–6.8
230 kpixel
96.2 × 60.4 × 29.2
171 g
(w/battery.)
Uses 2 AA batteries, CCD sensor, electronic Vibration Reduction, SD card storage
16.1 MP
1/2.3 in
26–130 mm (5×)
f/3.2–6.5
230 kpixel
96.0 × 59.7 × 28.8
164 g
(w/battery.)
Uses 2 AA batteries, CCD sensor, electronic Vibration Reduction, SD card storage
Jan 28, 2013
16.1 MP
1/2.3 in
26–130 mm (5×)
f/3.2–6.5
230 kpixel
96.0 × 59.7 × 28.8
Uses 2 AA batteries, CCD sensor, electronic Vibration Reduction, SD card storage
20.1 MP
1/2.3 in
26–130 mm (5×)
f/3.2–6.5
230 kpixel
96.0 × 59.7 × 28.8
169 g
(w/battery.)
Uses 2 AA batteries, CCD sensor, electronic Vibration Reduction, SD card storage
14.1 MP
1/2.3 in
25–525 mm (21×)
f/3.1–5.8
230 kpixel
109.9 × 76.5 × 78.4
435 g
(w/battery.)
Uses 4 AA batteries, CCD sensor, sensor shift and electronic Vibration Reduction, SD card storage
Aug 9, 2012
16.0 MP
1/2.3 in
25–350 mm (14×)
f/3.1–5.8
460 kpixel
108.0 × 68.4 × 34.1
240 g
(w/battery.)
Uses 2 AA batteries, CMOS sensor, lens shift Vibration Reduction, SD card storage
Feb 1, 2012
16.1 MP
1/2.3 in
22.5–585 mm (26×)
f/3.1–5.9
921 kpixel
111.1 × 76.3 × 83.1
430 g
(w/battery.)
Uses 4 AA batteries, CCD sensor, lens shift Vibration Reduction, SD card storage
Jan 28, 2013
16.1 MP
1/2.3 in
22.5–675 mm (30×)
f/3.0–5.8
921 kpixel
111.0 × 76.3 × 84.5
470 g
(w/battery.)
Uses 4 AA batteries, CMOS sensor, lens shift Vibration Reduction, SD card storage
Release date
res., size
Lens (35 mm equiv.)
zoom, aperture
size, pixels
Dimensions
W (mm) × H (mm) × D (mm)
Feb 1, 2012
16.1 MP
1/2.3 in
24–100 mm (4.2×)
f/1.8–4.9
3 in, 920 k pixel
103.0 × 58.3 × 32.0
194 g
(With battery and SD card)
Compact 4.2× zoom camera, 16 MP CMOS sensor, lens-shift vibration reduction, 1080p video recording with stereo sound. SD/SDHC/SDXC support, Li-ion battery
24–;mm (42×)
f/3.5–5.9
3 in, 920 k pixel Tilting screen
119.8 × 82.9 × 102.2
555 g
(With battery and SD card)
42× superzoom camera, 16.1 MP CMOS sensor, Built in GPS, 4 focus modes, Tilting LCD screen, lens shift vibration reduction, 1080p video recording with stereo sound, VGA 640x480, SD/SDHC/SDXC support, Eye-Fi capable, Li-ion battery
Jan 29, 2013
18 MP
1/2.3 in
24–; f/3-5.9
3.2 in, approx. 921 k pixel, Articulating screen
125.2 × 84.1 × 101.6
550 g w/ battery and SD memory card
42× superzoom camera, 18.1 MP backside-illuminated CMOS sensor, Built in GPS, Fully Articulated LCD screen, Active vibration compensation,
video w/ stereo audio, Hi-2 ISO (12800), Target-find AF, 7 FPS burst shooting, COOLPIX Picture Control, SD/SDHC/SDXC support, Li-ion battery, 3 available body colors
Aug 22, 2012
12.2 MP
1/1.7 in
28-200 mm (7.1×)
3 in, 920 k pixel Tilting screen
118 × 72 × 50
392 g
(With battery and SD card)
Compact 7.1× zoom camera, 12.2 MP CMOS sensor, Tilting LCD screen, 1080p video recording with stereo sound, lens-shift vibration reduction, SD/SDHC/SDXC support, Li-ion battery, NRW (RAW) image support.
12.2 MP
1/1.7 in
28-200 mm (7.1×)
3 in, 920 k pixel T 0.5" viewfinder (EVF)
118.5 × 77.5 × 50.4
399 g
(With battery and SD card)
Compact 7.1× zoom camera, 12.2 MP CMOS sensor, Tilting LCD screen, viewfinder (EVF), 1080p video recording with stereo sound, lens-shift vibration reduction, SD/SDHC/SDXC support, Li-ion battery, NRW (RAW) image support.
Release date
res., size
Lens (35 mm equiv.)
zoom, aperture
size, pixels
Dimensions
W (mm) × H (mm) × D (mm)
Aug 22, 2012
10.1 MP
1/2.9 in
29–87 mm (3×)
f/3.3–5.9
2.5 in
230 kpixel
77 × 51.2 × 17.2
CCD sensor, 2.5 in touch screen, 720p HD video recording, electronic Vibration Reduction, 7.3 GB internal memory
Feb 1, 2012
10.1 MP
1/3 in
29.1–87.3 mm (3×)
2.7 in
230 kpixel
101.9 × 64.8 × 39.4
214 g
Compact drop-resistant and waterproof with large buttons and simple interface (designed for kids)
Aug 22, 2012
16.0 MP
1/2.3 in
25–250 mm (10×)
f/3.2–5.8
3.5 in
819 kpixel
111.4 × 60.0 × 27.2
184 g
Android 2.3 OS, 3.5 in OLED touchscreen monitor, GPS, Wi-Fi, email, web browsing, music streaming, social networking, Android apps, CMOS sensor, lens-based and electronic Vibration Reduction, 1080p video recording, SD card storage with SDHC and SDXC support
Aug 24, 2011
14.1 MP
1/2.3 in
28–140 mm (5×)
f/3.9–5.8
460 kpixel
107 × 63.4 × 22.6
186 g
CCD sensor, built-in projector, electronic and lens-based Vibration Reduction, SD card storage with SDXC support
14.0 MP
1/2.3 in
26–130 mm (5×)
f/3.2–6.5
2.7 in
230 kpixel
93.8 × 58.4 × 19.5
121 g
Feb 1, 2012
16.0 MP
1/2.3 in
26–156 mm (6×)
f/3.5–6.5
2.7 in
230 kpixel
94.8 × 57.8 × 19.5
128 g
16.0 MP
1/2.3 in
26–156 mm (6×)
f/3.5–6.5
460 kpixel
95.5 × 58.9 × 20.8
139 g
16.0 MP
1/2.3 in
25–250 mm (10×)
f/3.2–5.8
2.7 in
230 kpixel
93.6 × 57.7 × 26.0
160 g
Aug 22, 2012
16.0 MP
1/2.3 in
25–300 mm (12×)
f/3.1–6.5
3.0 in
460 kpixel
95.4 × 58.6 × 26.7
150 g
CMOS sensor, lens-based Vibration Reduction, 1080p video recording with stereo sound, SD card storage with SDHC and SDXC support
Feb 1, 2012
16.0 MP
1/2.3 in
25–450 mm (18×)
f/3.5–5.9
921 kpixel
108.7 × 59.8 × 30.6
209 g
Back-lit CMOS sensor, lens-based Vibration Reduction, 1080p video recording, SD card storage with SDHC and SDXC support
16.0 MP
1/2.3 in
25–450 mm (18×)
f/3.5–5.9
921 kpixel
108.7 × 62.3 × 30.6
215 g
S9200 with built in GPS
Release date
res., size
Lens (35 mm equiv.)
zoom, aperture
size, pixels
Dimensions
W (mm) × H (mm) × D (mm)
Sep 1, 2005
38–190 mm (5×)
89.5 × 60.5 × 47
(w/out batt.)
CCD sensor, AA batteries, D-Lighting, Face-priority AF
Feb 21, 2006
38–116 mm (3×)
f/3.2–5.3
91 × 60.5 × 26
(w/out batt.)
38–114 mm (3×)
f/2.8–4.9
86.5 × 60.5 × 34.5
(w/out batt.)
Aug 24, 2006
38–190 mm (5×)
97 × 61 × 45
(w/out batt.)
CCD sensor, AA batteries, D-Lighting, Face-priority AF, lens-based Vibration Reduction
38–116 mm (3×)
f/3.2–5.3
91 × 60.5 × 26
(w/out batt.)
CCD sensor, AA batteries, D-Lighting, Face-priority AF
Feb 20, 2007
37.5–112.5mm (3×)
f/2.8–5.2
89.5 × 60.5 × 26
(w/out batt.)
89.5 × 60.5 × 27
(w/out batt.)
CCD sensor, AA batteries, D-Lighting, Face-priority AF, ImageLink
35–105 mm (3×)
f/2.8–4.7
91 × 61 × 26
(w/out batt.)
CCD sensor, AA batteries, D-Lighting, Face-priority AF, lens-based Vibration Reduction, up to ISO 1600
Aug 30, 2007
38–114 mm (3×)
f/3.1–5.9
90.5 × 61.5 × 27
(w/out batt.)
CCD sensor, AA batteries, D-Lighting, Face-priority AF, stop motion video, up to ISO 1000
35–105 mm (3×)
f/2.8–4.7
91 × 61 × 29.5
(w/out batt.)
CCD sensor, AA batteries, D-Lighting, Face-priority AF, lens-based Vibration Reduction
Jan 29, 2008
95 × 61 × 29.5
CCD sensor, AA batteries, D-Lighting, Face-priority AF, up to ISO 1600
Feb 3, 2009
41–145 mm (3.6×)
f/3.1–6.7
96.5 × 61 × 29
(w/out batt.)
38–136 mm (3.6×)
f/3.1–6.7
(w/out batt.)
Feb 3, 2010
41–145 mm (3.6×)
f/3.1–6.7
92 × 61.1 × 28.3
Uses AA batteries, CCD sensor, electronic Vibration Reduction, SD card storage
37–134 mm (3.6×)
f/3.1–6.7
97.7 × 60.5 × 28.3
Uses AA batteries, CCD sensor, electronic Vibration Reduction, SD card storage
Feb 9, 2011
28–140 mm (5×)
f/2.7–6.8
96.7 × 59.9 × 29.3
Uses AA batteries, CCD sensor, electronic Vibration Reduction, SD card storage
25–525 mm (21×)
f/3.1–6.7
60.5 × 97.7 × 28.3
Uses AA batteries, CCD sensor, electronic Vibration Reduction, SD card storage
Feb 3, 2009
28–420 mm (15×)
f/3.5–5.4
110 × 72 × 78
(w/out batt.)
CCD sensor, AA batteries, D-Lighting, Face-priority AF, lens-based Vibration Reduction, up to ISO 3200
Feb 3, 2010
28–420 mm (15×)
f/3.5–5.4
108.9 × 74.3 × 78.1
Uses AA batteries, CCD sensor, sensor-based and electronic Vibration Reduction, up to 6,400 ISO, 720p video recording with stereo sound, SD card storage
Feb 9, 2011
25–525 mm (21×)
f/3.1–5.8
109.9 × 76.5 × 78.4
(w/battery.)
Uses AA batteries, CCD sensor, sensor-based and electronic Vibration Reduction, up to 6,400 ISO, 720p video recording with stereo sound, SD card storage
Release date
res., size
Lens (35 mm equiv.)
zoom, aperture
size, pixels
Dimensions
W (mm) × H (mm) × D (mm)
Sep 1, 2005
36–126 mm (3.5×)
f/2.7–5.2
91 × 60 × 39
(w/out batt.)
CCD sensor, electronic Vibration Reduction (during video), aperture priority mode, Wireless 802.11b/g transfer support.
Feb 21, 2006
36–126 mm (3.5×)
f/2.7–5.3
92 × 61 × 31
CCD sensor, lens-based Vibration Reduction, Wireless 802.11b/g transfer support.
P3 without Wireless 802.11b/g transfer support.
Aug 30, 2007
28–102 mm (3.6×)
f/2.8–5.6
94.5 × 66 × 44
(w/out batt.)
CCD sensor, AA batteries, electronic Vibration Reduction, sensitivity up to ISO 2000.
Jan 29, 2008
36–180 mm (5×)
f/3.6–4.5
95.5 × 63.5 × 36
CCD sensor, AA batteries, sensor-based Vibration Reduction, D-Lighting, Face-priority AF, sensitivity up to ISO 2000.
Apr 10, 2008
27–486 mm (18×)
f/2.8–4.5
110 × 79 × 78
(w/out batt.)
CCD sensor, lens-based Vibration Reduction, sensitivity up to ISO 6400, 6 frame/s continuous shooting.
Feb 3, 2009
26–624 mm (24×)
114 × 83 × 99
(w/out batt.)
CCD sensor, variable angle LCD screen, sensor-based Vibration Reduction, sensitivity up to ISO 6400.
Feb 3, 2010
26–678 mm (26×)
114.4 × 82.7 × 98.6
10 frame/s shooting,
CMOS sensor, 1080p HD video recording with stereo sound, tilting LCD, sensor-based Vibration Reduction, SD card storage
Feb 9, 2011
24–100 mm (4.2×)
f/1.8–4.9
103 × 58.3 × 32
Back illuminated CMOS sensor, fast f/1.8 lens, 1080p video recording, lens-based Vibration Reduction, SD(SDHC, SDXC) card storage
22.5–810 mm (36×)
f/3.4–5.7
115.5 × 83.7 × 102.5
CMOS sensor, sensor-based and electronic Vibration Reduction, tiltable LCD screen, EXPEED C2 dual image processors, 1080p video recording with stereo sound, SD(SDHC, SDXC) card storage
Feb 20, 2007
36–126 mm (3.5×)
f/2.7–5.3
98 × 64.5 × 41
(w/out batt.)
CCD sensor, lens-based Vibration Reduction, sensitivity up to ISO 3200.
Aug 30, 2007
35–123 mm (3.5×)
f/2.7–5.3
Cmos sensor, lens-based Vibration Reduction, Magnesium alloy body, sensitivity up to ISO 3200.
Aug 7, 2008
28–112 mm (4×)
f/2.7–5.9
107 × 65.5 × 42
(w/out batt.)
CCD sensor, built-in GPS geotagging, lens-based Vibration Reduction, sensitivity up to ISO 6400.
Sep 8, 2010
28–200 mm (7.1×)
f/2.8–5.6
114.2 × 77 × 44.8
10 frame/s shooting, 1/1.7" CCD sensor, 720p HD video recording with stereo sound, lens-based Vibration Reduction, SD card storage with SDXC support, NRW (RAW) image support.
Aug 26, 2011
28–200 mm (7.1×)
f/2.8–5.6
116 × 77 × 48
Tilting LCD screen, CCD sensor, 720p HD video recording with stereo sound, lens-based Vibration Reduction, SD card storage with SDXC support, NRW (RAW) image support.
Release date
res., size
Lens (35 mm equiv.)
zoom, aperture
size, pixels
Dimensions
W (mm) × H (mm) × D (mm)
Features and notes
Mar 16, 2005
35–105 mm (3×)
89.9 × 57.5 × 19.7
118 g (w/out batt.)
Aluminium body, CCD sensor, 17 scene modes, SD card storage. First Style series camera.
May 18, 2005
91.9 × 59 × 22
140 g (w/out batt.)
Weather sealed Aluminium body, CCD sensor, 17 scene modes, SD card storage.
Sep 1, 2005
89.9 × 57.5 × 19.7
118 g (w/out batt.)
Aluminium body, CCD sensor, 17 scene modes, Face-priority AF, SD card storage.
38–380 mm (10×)
111.5 × 68.5 × 37
205 g (w/out batt.)
Uses AA batteries, CCD sensor, 17 scene modes,
design, Face-priority AF, SD card storage.
Feb 21, 2006
35–105 mm (3×)
93 × 59 × 20
135 g (w/out batt.)
CCD sensor, 15 scene modes, Pictmotion, Face-priority AF, SD card storage.
100.5 × 60 × 21
140 g (w/out batt.)
CCD sensor, 15 scene modes, Pictmotion, Face-priority AF, Wireless b/g transfer support, SD card storage.
Aug 24, 2006
35–105 mm (3×)
100.5 × 60 × 21
135 g (w/out batt.)
CCD sensor, electronic Vibration Reduction, Pictmotion, Face-priority AF, SD card storage.
140 g (w/out batt.)
S7 with Wireless 802.11b/g transfer support.
93 × 59 × 20
135 g (w/out batt.)
CCD sensor, electronic Vibration Reduction, Pictmotion, Face-priority AF, SD card storage.
38–114 mm (3×)
f/3.5–4.3
90.5 × 58 × 20.4
115 g (w/out batt.)
CCD sensor, Stop-motion video, Pictmotion, Face-priority AF, SD card storage.
38–380 mm (10×)
112.5 × 74.5 × 40.5
220 g (w/out batt.)
CCD sensor, sensor-based Vibration Reduction, Pictmotion, swivel lens design, Face-priority AF, SD card storage.
Feb 20, 2007
38–114 mm (3×)
f/3.3–4.2
92.5 × 59 × 21
125 g (w/out batt.)
CCD sensor, lens-based Vibration Reduction, Pictmotion, SD card storage.
97.5 × 59 × 21
S50 with Wireless 802.11b/g transfer support.
Aug 30, 2007
92.5 × 59 × 21
CCD sensor, lens-based Vibration Reduction, Pictmotion, SD card storage.
97.5 × 59 × 21
S51 with Wireless 802.11b/g transfer support.
Apr 10, 2008
93 × 59 × 21
CCD sensor, lens-based Vibration Reduction, Pictmotion, SD card storage, sensitivity up to ISO 3200.
97.5 × 59 × 21
S52 with Wireless 802.11b/g transfer support.
Aug 7, 2008
33–165 mm (5×)
f/3.8–4.8
97.5 × 60 × 22
145 g (w/out batt.)
CCD sensor, 3.5 inch touchscreen LCD, sensor-based Vibration Reduction, Pictmotion, SD card storage, sensitivity up to ISO 3200.
Aug 4, 2009
28–140 mm (5×)
f/3.9–5.8
96.5 × 60.5 × 20
140 g (w/o batt.)
touch screen, CCD sensor, lens-based Vibration Reduction, up to 6,400 ISO, SD card storage
Sep 8, 2010
35–175 mm (5×)
f/3.6–4.8
98.8 × 62.6 × 16.5
CCD sensor, 3.5″ Widescreen OLED touch screen, 720p HD video recording with stereo sound, lens-based Vibration Reduction, SD card storage with SDXC support
Aug 24, 2011
28–140 mm (5×)
f/3.9–4.8
99 × 65.2 × 18.1
CMOS sensor, 3.5" Widescreen OLED touch screen, 1080p HD video recording with stereo sound, lens-based Vibration Reduction, SD card storage with SDXC support
Feb 20, 2007
38–114 mm (3×)
f/3.1–5.9
91.5 × 56.5 × 18.5
125 g (w/out batt.)
CCD sensor, electronic Vibration Reduction, D-Lighting, PictBridge, SD card storage.
Jan 29, 2008
90 × 55.5 × 18
100 g (w/out batt.)
CCD sensor, electronic Vibration Reduction, D-Lighting, PictBridge, SD card storage.
Feb 3, 2009
35–105 mm (3×)
f/3.1–5.9
89.5 × 55.5 × 18
CCD sensor, electronic Vibration Reduction, automatic scene mode selection, D-Lighting, PictBridge, SD card storage.
91 × 57 × 20
115 g (w/out batt.)
S220 with 3-inch (76 mm) touchscreen LCD
Feb 20, 2007
35–105 mm (3×)
f/2.8–4.7
88 × 51 × 22
125 g (w/out batt.)
CCD sensor, lens-based Vibration Reduction, SD card storage, sensitivity up to ISO 2000.
Aug 30, 2007
Jan 29, 2008
94 × 53 × 22
115 g (w/out batt.)
36–180 mm (5×)
f/3.5–5.6
90 × 53.5 × 22
120 g (w/out batt.)
Aug 7, 2008
34.8–174 mm (5×)
f/3.5–5.6
93 × 54.5 × 23.5
130 g (w/out batt.)
CCD sensor, sensor-based Vibration Reduction, SD card storage, sensitivity up to ISO 3200.
Aug 4, 2009
28–140 mm (5×)
f/2.7–6.6
92 × 56.5 × 21.5
120 g (w/o batt.)
CCD sensor, electronic Vibration Reduction, 16 scene modes, SD card storage
Jan 29, 2008
28–112 mm (4×)
f/2.7–5.8
88.5 × 53 × 22.5
130 g (w/o batt.)
CCD sensor, lens-based Vibration Reduction, SD card storage, sensitivity up to ISO 3200.
Aug 7, 2008
94 × 57 × 22.5
125 g (w/out batt.)
96.5 × 57 × 22.5
130 g (w/out batt.)
S610 with Wireless 802.11b/g transfer support.
Feb 3, 2009
90 × 53 × 23
120 g (w/o batt.)
CCD sensor, lens-based Vibration Reduction, SD card storage.
37–260 mm (7×)
f/3.5–5.3
96.5 × 57.5 × 25.5
140 g (w/o batt.)
CCD sensor, sensor-based Vibration Reduction, SD card storage, sensitivity up to ISO 6400.
Aug 4, 2009
28–140 mm (5×)
f/2.7–6.6
91 × 55 × 20.5
110 g (w/o batt.)
CCD sensor, lens-based Vibration Reduction, up to 6,400 ISO, SD card storage
Aug 30, 2007
37–111 mm (3×)
f/2.8–5.4
89 × 54 × 23
130 g (w/o batt.)
CCD sensor, sensor-based Vibration Reduction, SD card storage, sensitivity up to ISO 3200.
Aug 7, 2008
28–101 mm (3.6×)
f/2.8–5.6
92.5 × 57.5 × 24
155 g (w/o batt.)
CCD sensor, lens-based Vibration Reduction, SD card storage, sensitivity up to ISO 12800.
Aug 4, 2009
28–140 mm (5×)
f/3.9–5.8
99.5 × 62.5 × 23
CCD sensor, built-in projector, lens-based Vibration Reduction, SD card storage
Aug 17, 2010
100 × 62.7 × 24.1
Feb 3, 2010
27–108 mm (4×)
f/3.2–5.9
94.3 × 55.9 × 19
CCD sensor, electronic Vibration Reduction, SD card storage
94.5 × 56.5 × 20.4
CCD sensor, touch screen LCD, electronic Vibration Reduction, SD card storage
Feb 3, 2010
28–196 mm (7×)
f/3.7–5.6
97 × 55.5 × 25
CCD sensor, 0.75 s start up time, lens-based Vibration Reduction, 720p video recording, SD card storage
30–300 mm (10×)
f/3.5–5.6
103 × 57 × 27.3
CCD sensor, lens-based Vibration Reduction, 720p video recording with stereo sound, SD card storage
Sep 8, 2010
30–300 mm (10×)
f/3.5–5.6
104 × 59.2 × 29.9
Back illuminated CMOS sensor, 10 frame/s continuous shooting, 1080p HD video recording with stereo sound, lens-based and electronic Vibration Reduction, SD card storage with SDHC and SDXC support
Feb 18, 2003
37–111 mm (3×)
f/2.7–4.8
82 × 82 × 25.5
180g (w/out batt.)
Aluminium body, CCD sensor, 17 scene modes, swivel lens, SD card storage.
Feb 9, 2011
27–108 mm (4×)
f/3.2–5.9
93.1 × 57.1 × 20
CCD sensor, electronic Vibration Reduction, SD card storage
26–130 mm (5×)
f/3.2–6.5
93.5 × 57.5 × 18.4
CCD sensor, , 720p video recording, SD card storage
95 × 56.8 × 19.9
3-inch LCD touch screen, CCD sensor, electronic Vibration Reduction, 720p video recording, SD card storage
Aug 24, 2011
S4100 with improved LCD screen
Aug 17, 2010
28–140 mm (5×)
f/2.7–6.6
97.1 × 56.9 × 21.6
CCD sensor, 0.75 s start up time, lens-based Vibration Reduction, 720p video recording, SD card storage
Feb 9, 2011
28–196 mm (7×)
f/3.7–5.6
97.9 × 58 × 26.6
3-inch LCD touch screen, CCD sensor, lens-based Vibration Reduction, 720p video recording, SD card storage
Aug 24, 2011
S6100 with improved LCD screen
25–250 mm (10×)
f/3.3–5.8
93 × 56.7 × 25.4
CCD sensor, lens-based Vibration Reduction, 720p video recording, SD card storage with SDXC support
Aug 24, 2011
25–350mm (14×)
f/3.3–5.9
103.7 × 59.3 × 32.7
Back illuminated CMOS sensor, 6 frame/s continuous shooting, 1080p HD video recording with stereo sound, lens-based and electronic Vibration Reduction, SD card storage with SDHC and SDXC support
Feb 9, 2011
25–450 mm (18×)
f/3.5–5.9
104.8 × 62 × 34.6
CMOS sensor, sensor-based Vibration Reduction, 1080p video recording, SD card storage
Release date
res., size
Lens (35 mm equiv.)
zoom, aperture
size, pixels
Dimensions
W (mm) × H (mm) × D (mm)
52 mm (fixed)
60 × 155 × 35
(w/o batt.)
First Coolpix model, CCD sensor, AA batteries, PCMCIA interface
45 mm (fixed)
78 × 151 × 35
(w/o batt.)
CCD sensor, AA batteries, 2.5-inch touch-screen,
Mar 16, 1998
36 mm (fixed)
109.5 × 60 × 44.5
(w/o batt.)
CCD sensor, AA batteries, detachable flash, CF card storage
Feb 15, 1999
35 mm (fixed)
114 × 67 × 38.5
(w/o batt.)
CCD sensor, AA batteries, CF card storage
Apr 25, 2001
38–115 mm (3×)
f/2.8–4.9
87 × 66.5 × 44
CCD sensor, CF card storage
Sep 27, 1999
38–76 mm (2×)
f/3.5–4.8
119 × 69 × 61
CCD sensor, AA batteries, CF card storage
Aug 28, 2000
38–95 mm (2.5×)
f/2.8–7.8
99.5 × 75 × 53
CCD sensor, rechargeable battery, CF card storage
Aug 23, 2001
38–114 mm (3×)
f/2.8–7.6
95 × 69 × 52
Mar 16, 1998
38–115 mm (3×)
f/2.4–3.6
157 × 75 × 35
CCD sensor, aluminium chassis, swivel body, AA batteries, CF card storage
Oct 26, 1998
Updated Coolpix 900
Feb 15, 1999
38–115 mm (3×)
143 × 76.5 × 36.5
CCD sensor, swivel body, AA batteries, CF card storage
Jan 27, 2000
38–115 mm (3×)
143 × 79 × 38
Apr 25, 2001
38–152 mm (4×)
138 × 82 × 40
CCD sensor, swivel body, rechargeable battery, CF card storage
Release date
res., size
Lens (35 mm equiv.)
zoom, aperture
size, pixels
Dimensions
W (mm) × H (mm) × D (mm)
May 29, 2002
38–114 mm (3×)
f/2.8–4.9
108 × 69 × 38
(w/out batt.)
Uses 4 AA batteries, CCD sensor, CF Type I card storage
Feb 18, 2002
36–108 mm (3×)
f/2.6–4.7
87.5 × 65 × 38
(w/out batt.)
CCD sensor, CF Type I card storage
Jan 28, 2004
88 × 65 × 38
(w/out batt.)
Uses 2 AA batteries, CCD sensor, SD card storage
Jan 21, 2002
37–111 mm (3×)
f/2.7–4.8
114 × 59.5 × 31.5
(w/out batt.)
Swivel lens, CCD sensor, CF Type I card storage
Release date
res., size
Lens (35 mm equiv.)
zoom, aperture
size, pixels
Dimensions
W (mm) × H (mm) × D (mm)
Feb 18, 2003
38–115 mm (3×)
f/2.8–4.9
87.5 × 65 × 38
(w/out batt.)
CCD sensor, CF Type I card storage
Jan 28, 2004
88 × 65 × 38
(w/out batt.)
Uses AA batteries, CCD sensor, SD card storage
Sep 19, 2002
37–111 mm (3×)
f/2.7–4.8
114 × 59.5 × 31.5
(w/out batt.)
Swivel lens, CCD sensor, CF Type I card storage
Dec 3, 2003
35–105 mm (3×)
f/2.8–4.9
95.5 × 50 × 31
(w/out batt.)
Aluminium body, CCD sensor, SD card storage
Release date
res., size
Lens (35 mm equiv.)
zoom, aperture
size, pixels
Dimensions
W (mm) × H (mm) × D (mm)
Jun 1, 2004
35–105 mm (3×)
f/2.8–4.9
88 × 65 × 38
(w/out batt.)
CCD sensor, SD card storage
Feb 12, 2004
38–114 mm (3×)
f/2.8–4.9
88 × 60 × 36.5
(w/out batt.)
Sep 2, 2002
38–105 mm (3×)
f/2.8–4.9
95 × 69 × 52
(w/out batt.)
CCD sensor, CF card storage
May 29, 2002
38–155 mm (4×)
f/2.6–5.1
130 × 73 × 50
(w/out batt.)
Feb 16, 2005
34–102 mm (3×)
f/2.9–4.9
85 × 60 × 35
(w/out batt.)
CCD sensor, SD card storage
Sep 16, 2004
36–300 mm (8.3×)
f/2.7–4.4
106 × 66 × 54
(w/out batt.)
best shot selector, SD card storage
Note some cameras are numbered 5xxx on front, and E5xxx on bottom.
resolution, , type
Lens (35 mm equiv)
Digital Zoom
LCD screen
size, pixels
38–85 mm (3×)
38–114 mm (3×)
28–116 mm (4.1×)
34–102 mm (3×)
. Movie recording with audio at 15 frame/s in
.MOV format.
35–280 mm (8×)
38–114 mm (3×)
Coolpix 7900
resolution, , type
Lens (35 mm equiv)
Digital Zoom
LCD screen
size, pixels
38–114 mm (3×)
resolution, , type
Lens (35 mm equiv)
Digital Zoom
LCD screen
size, pixels
September 2004
24–85 mm (3.5×)
January 2004
35–280 mm (8×)
September 2004
35–350 mm (10×)
The following Coolpix cameras support
image files:
5000 (discontinued) - NEF format
8700 (discontinued) - NEF format (with firmware upgrade)
P6000 (discontinued) – NRW format
P7000 (discontinued), P7100 – NRW format
Some Coolpix cameras which are not advertised as supporting a RAW file format can produce usable raw files if switched to a maintenance mode. Note that switching to this mode can invalidate a camera's guarantee. Nikon models with this capability: E700, E800, E880, E900, E950, E990, E995, E2100, E2500, E3700, E4300, E4500.
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. Digital Photography Review.
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. Nikon Corporation. March 16, 1998.
. Nikon Corporation. February 15, 1999.
. Digital Photography Review.
. Digital Photography Review.
. Digital Photography Review.
. Nikon Corporation. August 23, 2001.
. Nikon Corporation. March 16, 1998.
. Nikon Corporation. October 26, 1998.
. Nikon Corporation. February 15, 1999.
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. E2500.narod.ru.
. Product Line-up. Nikon Imaging.
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